Annals of Physics, ISSN 0003-4916, 07/2016, Volume 370, Issue C, pp. 77 - 104

We present a calculation of the low energy Greens function of interacting fermions in 1+ϵ dimensions using the method of extended poor man’s scaling, developed...

Quasiparticle weight | Quasiparticle damping rate | Electron spectral function | Crossover between Fermi liquid and Tomonaga–Luttinger liquid | Renormalization group in [formula omitted] dimensions | Fragile Fermi Liquid | Crossover between Fermi liquid and Tomonaga-Luttinger liquid | Renormalization group in 1+ε dimensions | Fragile fermi liquid | DILUTE MAGNETIC-ALLOYS | LUTTINGER LIQUID | PHYSICS, MULTIDISCIPLINARY | TRANSITION | ANDERSON MODEL | STATIC PROPERTIES | KONDO PROBLEM | SYSTEMS | CROSSOVER | Renormalization group in 1+epsilon dimensions | Physics - Strongly Correlated Electrons

Quasiparticle weight | Quasiparticle damping rate | Electron spectral function | Crossover between Fermi liquid and Tomonaga–Luttinger liquid | Renormalization group in [formula omitted] dimensions | Fragile Fermi Liquid | Crossover between Fermi liquid and Tomonaga-Luttinger liquid | Renormalization group in 1+ε dimensions | Fragile fermi liquid | DILUTE MAGNETIC-ALLOYS | LUTTINGER LIQUID | PHYSICS, MULTIDISCIPLINARY | TRANSITION | ANDERSON MODEL | STATIC PROPERTIES | KONDO PROBLEM | SYSTEMS | CROSSOVER | Renormalization group in 1+epsilon dimensions | Physics - Strongly Correlated Electrons

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 9/2015, Volume 2015, Issue 9, pp. 1 - 14

Theories of anti-commuting scalar fields are non-unitary, but they are of interest both in statistical mechanics and in studies of the higher spin de...

Quantum Physics | Field Theories in Higher Dimensions | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | EQUATIONS | LARGE-N | FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Nuclear and High Energy Physics

Quantum Physics | Field Theories in Higher Dimensions | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | EQUATIONS | LARGE-N | FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Nuclear and High Energy Physics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2017, Volume 2017, Issue 12, pp. 1 - 36

We study the fixed point that controls the IR dynamics of QED in d = 4 − 2ϵ dimensions. We derive the scaling dimensions of four-fermion and bilinear operators...

Conformal Field Theory | Field Theories in Lower Dimensions | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Scaling | Operators | Fixed points (mathematics) | Fermions | High Energy Physics | Condensed Matter - Strongly Correlated Electrons | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Lattice

Conformal Field Theory | Field Theories in Lower Dimensions | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Scaling | Operators | Fixed points (mathematics) | Fermions | High Energy Physics | Condensed Matter - Strongly Correlated Electrons | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Lattice

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2015, Volume 2015, Issue 11, pp. 1 - 18

We formally extend the CFT techniques introduced in arXiv: 1505.00963, to ϕ 2 d 0 d 0 − 2 $$ \phi \frac{2{d}_0}{d_0-2} $$ theory in d = d 0 − ϵ dimensions and...

Field Theories in Lower Dimensions | Quantum Physics | Renormalization Group | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS

Field Theories in Lower Dimensions | Quantum Physics | Renormalization Group | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2015, Volume 2015, Issue 12, pp. 1 - 37

Some known constraints on Renormalization Group flow take the form of inequalities: in even dimensions they refer to the coefficient a of the Weyl anomaly,...

Field Theories in Lower Dimensions | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Nuclear and High Energy Physics

Field Theories in Lower Dimensions | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Nuclear and High Energy Physics

Journal Article

Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 05/2008, Volume 77, Issue 18

The low-temperature critical properties and crossovers of a spin-1/2 planar ferromagnet in a longitudinal 2 magnetic field are explored in 4-epsilon dimensions...

QUANTUM PHASE-TRANSITIONS | PHYSICS, CONDENSED MATTER | CLASSICAL GENERAL-RELATIVITY | LIQUID HELIUM | PSEUDOSPIN MODEL | CONDENSATION | HEISENBERG-FERROMAGNET | RENORMALIZATION-GROUP APPROACH | TRANSVERSE MAGNETIC-FIELD | LATTICE MODEL | CRITICAL-POINT

QUANTUM PHASE-TRANSITIONS | PHYSICS, CONDENSED MATTER | CLASSICAL GENERAL-RELATIVITY | LIQUID HELIUM | PSEUDOSPIN MODEL | CONDENSATION | HEISENBERG-FERROMAGNET | RENORMALIZATION-GROUP APPROACH | TRANSVERSE MAGNETIC-FIELD | LATTICE MODEL | CRITICAL-POINT

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2018, Volume 2018, Issue 5, pp. 1 - 67

Fixed points for scalar theories in 4 − ε, 6 − ε and 3 − ε dimensions are discussed. It is shown how a large range of known fixed points for the four...

Conformal Field Theory | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | COMPONENT FIELD MODEL | RENORMALIZATION-GROUP EQUATIONS | PHASE-TRANSITIONS | ANISOTROPIC CUBIC SYSTEMS | CRITICAL EXPONENTS | 4 VECTOR MODELS | ORDER PARAMETERS | 3-DIMENSIONAL O(N) THEORIES | CRITICAL-BEHAVIOR | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Couplings | Lower bounds | Bifurcations | Fixed points (mathematics) | Subgroups | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

Conformal Field Theory | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | COMPONENT FIELD MODEL | RENORMALIZATION-GROUP EQUATIONS | PHASE-TRANSITIONS | ANISOTROPIC CUBIC SYSTEMS | CRITICAL EXPONENTS | 4 VECTOR MODELS | ORDER PARAMETERS | 3-DIMENSIONAL O(N) THEORIES | CRITICAL-BEHAVIOR | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Couplings | Lower bounds | Bifurcations | Fixed points (mathematics) | Subgroups | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 7/2018, Volume 2018, Issue 7, pp. 1 - 21

We apply analytic bootstrap techniques to the four-point correlator of fundamental fields in the Wilson-Fisher model. In an ϵ-expansion crossing symmetry fixes...

Conformal Field Theory | Quantum Physics | Renormalization Group | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | OPERATOR | ANOMALOUS DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Operators (mathematics) | Discontinuity | Perturbation methods | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

Conformal Field Theory | Quantum Physics | Renormalization Group | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | OPERATOR | ANOMALOUS DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Operators (mathematics) | Discontinuity | Perturbation methods | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 03/2019, Volume 940, pp. 332 - 350

The six-loop expansions of the renormalization-group functions of φ4n-vector model with cubic anisotropy are calculated within the minimal subtraction (MS)...

PHASE-TRANSITIONS | STABILITY | FIELD | ISING-MODEL | FIXED-POINT | SYSTEMS | CRITICAL-BEHAVIOR | 3 DIMENSIONS | RENORMALIZATION-GROUP FUNCTIONS | CRITICAL EXPONENTS | PHYSICS, PARTICLES & FIELDS

PHASE-TRANSITIONS | STABILITY | FIELD | ISING-MODEL | FIXED-POINT | SYSTEMS | CRITICAL-BEHAVIOR | 3 DIMENSIONS | RENORMALIZATION-GROUP FUNCTIONS | CRITICAL EXPONENTS | PHYSICS, PARTICLES & FIELDS

Journal Article

Physical Review Letters, ISSN 0031-9007, 04/2016, Volume 116, Issue 13, p. 131601

We study quantum electrodynamics in d = 3 coupled to N-f flavors of fermions. The theory flows to an IR fixed point for N-f larger than some critical number...

NON-ABELIAN BOSONIZATION | FIELDS | GAUGE-THEORIES | QCD | PHYSICS, MULTIDISCIPLINARY | CHIRAL-SYMMETRY BREAKING | ANOMALOUS DIMENSION | DIMENSIONAL REGULARIZATION | RENORMALIZATION

NON-ABELIAN BOSONIZATION | FIELDS | GAUGE-THEORIES | QCD | PHYSICS, MULTIDISCIPLINARY | CHIRAL-SYMMETRY BREAKING | ANOMALOUS DIMENSION | DIMENSIONAL REGULARIZATION | RENORMALIZATION

Journal Article

Theoretical and Mathematical Physics, ISSN 0040-5779, 7/2013, Volume 176, Issue 1, pp. 948 - 955

We discuss using the field theory renormalization group (RG) to study the critical behavior of twodimensional (2D) models. We write the RG functions of the 2D...

n -vector model | pseudo- ε -expansion | Theoretical, Mathematical and Computational Physics | critical exponent | five-loop expansion | two-dimensional Ising model | Applications of Mathematics | renormalization group | Physics | n-vector model | pseudo-ε-expansion | PHYSICS, MULTIDISCIPLINARY | pseudo-epsilon-expansion | FIELD-THEORY | COUPLING-CONSTANT | 2-DIMENSIONAL ISING-MODEL | O(N) MODELS | PHYSICS, MATHEMATICAL | CRITICAL EXPONENTS | SYSTEMS | EQUATION | HIGH-TEMPERATURE SERIES

n -vector model | pseudo- ε -expansion | Theoretical, Mathematical and Computational Physics | critical exponent | five-loop expansion | two-dimensional Ising model | Applications of Mathematics | renormalization group | Physics | n-vector model | pseudo-ε-expansion | PHYSICS, MULTIDISCIPLINARY | pseudo-epsilon-expansion | FIELD-THEORY | COUPLING-CONSTANT | 2-DIMENSIONAL ISING-MODEL | O(N) MODELS | PHYSICS, MATHEMATICAL | CRITICAL EXPONENTS | SYSTEMS | EQUATION | HIGH-TEMPERATURE SERIES

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 11/2009, Volume 2009, Issue 11, pp. 100 - 100

We generated configurations with the parametrized fixed-point Dirac operator D-FP on a (1.6 fm)(4) box at a lattice spacing a = 0.13 fm. We compare the...

Chiral Lagrangians | RANDOM-MATRIX THEORY | INVARIANT | Lattice QCD | (MS)OVER-BAR | QCD | CONSTRUCTION | FIXED-POINT | CHIRAL PERTURBATION-THEORY | DYNAMICAL FERMIONS | ANOMALOUS DIMENSION | QUARK MASS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Chiral Lagrangians | RANDOM-MATRIX THEORY | INVARIANT | Lattice QCD | (MS)OVER-BAR | QCD | CONSTRUCTION | FIXED-POINT | CHIRAL PERTURBATION-THEORY | DYNAMICAL FERMIONS | ANOMALOUS DIMENSION | QUARK MASS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Journal Article

Theoretical and Mathematical Physics, ISSN 0040-5779, 10/2015, Volume 185, Issue 1, pp. 1361 - 1369

We propose a method for calculating the β-function and anomalous dimensions in critical dynamics models that is convenient for numerical calculations in the...

Theoretical, Mathematical and Computational Physics | critical exponent | ε -expansion | multiloop diagram | Applications of Mathematics | renormalization group | Physics | ε-expansion | RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | epsilon-expansion | PHYSICS, MATHEMATICAL | UNIQUENESS

Theoretical, Mathematical and Computational Physics | critical exponent | ε -expansion | multiloop diagram | Applications of Mathematics | renormalization group | Physics | ε-expansion | RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | epsilon-expansion | PHYSICS, MATHEMATICAL | UNIQUENESS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2016, Volume 2016, Issue 12, pp. 1 - 46

The standard analytic solution of the renormalization group (RG) evolution for the ΔS = 1 Wilson coefficients involves several singularities, which complicate...

CP violation | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Kaon Physics | Elementary Particles, Quantum Field Theory

CP violation | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Kaon Physics | Elementary Particles, Quantum Field Theory

Journal Article

Theoretical and Mathematical Physics, ISSN 0040-5779, 2/2017, Volume 190, Issue 2, pp. 295 - 302

It is known that critical fluctuations can change the effective anisotropy of a cubic ferromagnet near the Curie point. If the crystal undergoes a phase...

cubic model | Theoretical, Mathematical and Computational Physics | pseudo- ϵ -expansion | Applications of Mathematics | renormalization group | Physics | effective anisotropy | ϵ -expansion | pseudo-ϵ-expansion | ϵ-expansion | 2-COUPLING-CONSTANT PHI THEORY | PHYSICS, MULTIDISCIPLINARY | pseudo-epsilon-expansion | RENORMALIZATION-GROUP EXPANSIONS | PHASE-TRANSITIONS | 3 DIMENSIONS | PHYSICS, MATHEMATICAL | CRITICAL EXPONENTS | epsilon-expansion | N-VECTOR MODEL | ISING-MODEL | FIXED-POINT | CRITICAL-BEHAVIOR | Anisotropy | Analysis | Ferromagnetism

cubic model | Theoretical, Mathematical and Computational Physics | pseudo- ϵ -expansion | Applications of Mathematics | renormalization group | Physics | effective anisotropy | ϵ -expansion | pseudo-ϵ-expansion | ϵ-expansion | 2-COUPLING-CONSTANT PHI THEORY | PHYSICS, MULTIDISCIPLINARY | pseudo-epsilon-expansion | RENORMALIZATION-GROUP EXPANSIONS | PHASE-TRANSITIONS | 3 DIMENSIONS | PHYSICS, MATHEMATICAL | CRITICAL EXPONENTS | epsilon-expansion | N-VECTOR MODEL | ISING-MODEL | FIXED-POINT | CRITICAL-BEHAVIOR | Anisotropy | Analysis | Ferromagnetism

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 08/2012, Volume 27, Issue 21, p. 1250114

The perturbative renormalization group (RG) treatment of the Ginzburg–Landau model is reconsidered based on the Feynman diagram technique. We derive RG flow...

critical phenomena | ε-expansion | Renormalization group | SMALL-DISTANCE-BEHAVIOUR | FIELD-THEORY | PHYSICS, NUCLEAR | 3 DIMENSIONS | CRITICAL EXPONENTS | CRITICAL INDEXES | PHI | epsilon-expansion | CALLAN-SYMANZIK EQUATION | ISING-MODEL | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS

critical phenomena | ε-expansion | Renormalization group | SMALL-DISTANCE-BEHAVIOUR | FIELD-THEORY | PHYSICS, NUCLEAR | 3 DIMENSIONS | CRITICAL EXPONENTS | CRITICAL INDEXES | PHI | epsilon-expansion | CALLAN-SYMANZIK EQUATION | ISING-MODEL | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 10/2019, Volume 2019, Issue 10, pp. 1 - 13

We study the sector of large charge operators ϕ n (ϕ being the complexified scalar field) in the O(2) Wilson-Fisher fixed point in 4−E dimensions that emerges...

Conformal Field Theory | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Effective Field Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory

Conformal Field Theory | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Effective Field Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2018, Volume 2018, Issue 5, pp. 1 - 27

There are three generalizations of the Platonic solids that exist in all dimensions, namely the hypertetrahedron, the hypercube, and the hyperoctahedron, with...

Conformal Field Theory | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | REPRESENTATIONS | STRUCTURAL PHASE-TRANSITIONS | FIELD-THEORY | CRITICAL EXPONENTS | SRTIO3 | FLUCTUATIONS | HYPEROCTAHEDRAL GROUP | POTTS-MODEL | CRITICAL-BEHAVIOR | RENORMALIZATION-GROUP FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Hypercubes | Phase transitions | Magnets | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

Conformal Field Theory | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | REPRESENTATIONS | STRUCTURAL PHASE-TRANSITIONS | FIELD-THEORY | CRITICAL EXPONENTS | SRTIO3 | FLUCTUATIONS | HYPEROCTAHEDRAL GROUP | POTTS-MODEL | CRITICAL-BEHAVIOR | RENORMALIZATION-GROUP FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Hypercubes | Phase transitions | Magnets | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

Journal Article

2007, Oxford graduate texts, ISBN 0199227195, xii, 452

This work tries to provide an elementary introduction to the notions of continuum limit and universality in statistical systems with a large number of degrees...

Renormalization (Physics) | Phase transformations (Statistical physics) | Physics

Renormalization (Physics) | Phase transformations (Statistical physics) | Physics

Book

Physical Review D, ISSN 2470-0010, 03/2018, Volume 97, Issue 6

We consider theories with fermionic degrees of freedom that have a fixed point ofWilson-Fisher type in noninteger dimension d = 4 - 2 epsilon. Due to the...

CALLAN-SYMANZIK EQUATIONS | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Computer Science | Digital Libraries | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | quantum spin liquid | strongly correlated systems | CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY | conformal field theory | critical exponents | lower-dimensional field theories | quantum electrodynamics | renormalization group | Feynman diagrams

CALLAN-SYMANZIK EQUATIONS | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Computer Science | Digital Libraries | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | quantum spin liquid | strongly correlated systems | CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY | conformal field theory | critical exponents | lower-dimensional field theories | quantum electrodynamics | renormalization group | Feynman diagrams

Journal Article