Physics Reports, ISSN 0370-1573, 03/2015, Volume 569, pp. 1 - 93

In this review article, we discuss the distinction and possible equivalence between scale invariance and conformal invariance in relativistic quantum field...

Holography | Scale invariance | Conformal invariance | Renormalization group | PHYSICS, MULTIDISCIPLINARY | C-THEOREM | TRACE ANOMALIES | CONSERVED-CURRENTS | STRING THEORY | ENTANGLEMENT ENTROPY | PERTURBATION-THEORY | ENERGY-MOMENTUM TENSOR | NONLOCAL ACTION | IN-FIELD THEORIES | LOCAL RENORMALIZATION-GROUP

Holography | Scale invariance | Conformal invariance | Renormalization group | PHYSICS, MULTIDISCIPLINARY | C-THEOREM | TRACE ANOMALIES | CONSERVED-CURRENTS | STRING THEORY | ENTANGLEMENT ENTROPY | PERTURBATION-THEORY | ENERGY-MOMENTUM TENSOR | NONLOCAL ACTION | IN-FIELD THEORIES | LOCAL RENORMALIZATION-GROUP

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2013, Volume 2013, Issue 1, pp. 1 - 32

There is a widely held belief that conformal field theories (CFTs) require zero beta functions. Nevertheless, the work of Jack and Osborn implies that the beta...

Space-Time Symmetries | 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 | 4 DIMENSIONS | C-THEOREM | CONSEQUENCES | RENORMALIZABLE FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Asymptotic properties | Mathematical analysis | Consistency | Byproducts | Mathematical models | Fields (mathematics) | Invariance | Physics - High Energy Physics - Theory

Space-Time Symmetries | 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 | 4 DIMENSIONS | C-THEOREM | CONSEQUENCES | RENORMALIZABLE FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Asymptotic properties | Mathematical analysis | Consistency | Byproducts | Mathematical models | Fields (mathematics) | Invariance | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2018, Volume 2018, Issue 10, pp. 1 - 43

Combining the quantum scale invariance with the absence of new degrees of freedom above the electroweak scale leads to stability of the latter against...

Solitons Monopoles and Instantons | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | RENORMALIZATION-GROUP | FIELD EQUATIONS | QUANTUM-GRAVITY | SPONTANEOUS SYMMETRY-BREAKING | SPACE | STANDARD MODEL | TENSOR | OPEN INFLATION | CRITICALITY | FLAT | PHYSICS, PARTICLES & FIELDS | Standard model (particle physics) | Scale invariance | Gravitation | Invariance | Configurations | Relativity | Physics - High Energy Physics - Theory

Solitons Monopoles and Instantons | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | RENORMALIZATION-GROUP | FIELD EQUATIONS | QUANTUM-GRAVITY | SPONTANEOUS SYMMETRY-BREAKING | SPACE | STANDARD MODEL | TENSOR | OPEN INFLATION | CRITICALITY | FLAT | PHYSICS, PARTICLES & FIELDS | Standard model (particle physics) | Scale invariance | Gravitation | Invariance | Configurations | Relativity | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 6/2014, Volume 2014, Issue 6, pp. 1 - 18

We study spontaneous breaking of scale invariance in the large N limit of three dimensional U(N ) κ Chern-Simons theories coupled to a scalar field in the...

AdS-CFT Correspondence | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | MASSLESS HIGHER SPINS | PHYSICS, PARTICLES & FIELDS | Couplings | Scale invariance | Breaking | Spontaneous | Scalars | Boundaries | Concentrates | Three dimensional | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

AdS-CFT Correspondence | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | MASSLESS HIGHER SPINS | PHYSICS, PARTICLES & FIELDS | Couplings | Scale invariance | Breaking | Spontaneous | Scalars | Boundaries | Concentrates | Three dimensional | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

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Full Text
Embedding inflation into the Standard Model — More evidence for classical scale invariance

Journal of High Energy Physics, ISSN 1126-6708, 6/2014, Volume 2014, Issue 6, pp. 1 - 20

If cosmological inflation is due to a slowly rolling single inflation field taking trans-Planckian values as suggested by the BICEP2 measurement of primordial...

Quantum Physics | Renormalization Group | Cosmology of Theories beyond the SM | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DENSITY PERTURBATIONS | HIGGS | FLATNESS | HORIZON | CHAOTIC INFLATION | FLUCTUATIONS | ELECTROWEAK VACUUM | CONSTRAINTS | SCENARIO | UNIVERSE | PHYSICS, PARTICLES & FIELDS | Inflation (Finance) | Analysis | Models | Standard model (particle physics) | Scale invariance | Cosmological constant | Inflation | Mathematical analysis | Mathematical models | Inflation (cosmology) | Standards | General Relativity and Quantum Cosmology | High Energy Physics - Phenomenology | Astrophysics | Cosmology and Extragalactic Astrophysics | Nuclear and High Energy Physics | Astrophysics - Cosmology and Nongalactic Astrophysics

Quantum Physics | Renormalization Group | Cosmology of Theories beyond the SM | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DENSITY PERTURBATIONS | HIGGS | FLATNESS | HORIZON | CHAOTIC INFLATION | FLUCTUATIONS | ELECTROWEAK VACUUM | CONSTRAINTS | SCENARIO | UNIVERSE | PHYSICS, PARTICLES & FIELDS | Inflation (Finance) | Analysis | Models | Standard model (particle physics) | Scale invariance | Cosmological constant | Inflation | Mathematical analysis | Mathematical models | Inflation (cosmology) | Standards | General Relativity and Quantum Cosmology | High Energy Physics - Phenomenology | Astrophysics | Cosmology and Extragalactic Astrophysics | Nuclear and High Energy Physics | Astrophysics - Cosmology and Nongalactic Astrophysics

Journal Article

Physics Letters B, ISSN 0370-2693, 09/2016, Volume 760, Issue C, pp. 31 - 35

Equations for cosmological evolution are formulated in a Weyl invariant formalism to take into account possible Weyl anomalies. Near two dimensions, the...

RENORMALIZATION-GROUP | PHYSICS, NUCLEAR | GRAVITY | ASTRONOMY & ASTROPHYSICS | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Force and energy | Physics | General Relativity and Quantum Cosmology | [PHYS]Physics [physics] | Astrophysics | Cosmology and Extragalactic Astrophysics | Nuclear and High Energy Physics | [ PHYS ] Physics [physics] | High Energy Physics - Theory | Astrophysics - Cosmology and Nongalactic Astrophysics

RENORMALIZATION-GROUP | PHYSICS, NUCLEAR | GRAVITY | ASTRONOMY & ASTROPHYSICS | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Force and energy | Physics | General Relativity and Quantum Cosmology | [PHYS]Physics [physics] | Astrophysics | Cosmology and Extragalactic Astrophysics | Nuclear and High Energy Physics | [ PHYS ] Physics [physics] | High Energy Physics - Theory | Astrophysics - Cosmology and Nongalactic Astrophysics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 4/2018, Volume 2018, Issue 4, pp. 1 - 27

For a class of D = 5 holographic models we construct boomerang RG flow solutions that start in the UV at an AdS 5 vacuum and end up at the same vacuum in the...

AdS-CFT Correspondence | Gauge-gravity correspondence | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Deformation | Scaling | Thermal diffusivity | Entropy | Entanglement | Invariance | Butterflies | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

AdS-CFT Correspondence | Gauge-gravity correspondence | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Deformation | Scaling | Thermal diffusivity | Entropy | Entanglement | Invariance | Butterflies | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Journal Article

Reports on Progress in Physics, ISSN 0034-4885, 10/2015, Volume 78, Issue 12, pp. 126201 - 15

A valid prediction for a physical observable from quantum field theory should be independent of the choice of renormalization scheme-this is the primary...

perturbative calculations | renormalization group invariance | general properties of perturbation | principle of minimum sensitivity | principle of maximum conformality | CREWTHER RELATION | PHYSICS, MULTIDISCIPLINARY | ANNIHILATION | FIELD THEORY | ALPHA-S | SCHEME-DEPENDENCE | CONFORMAL SYMMETRY | TOTAL CROSS-SECTION | OPTIMIZATION | LEADING ORDER | AMBIGUITIES | Foundations | Systematic errors | Perturbation | Invariance | Quantum theory | Standards | Optimization | Quantum chromodynamics

perturbative calculations | renormalization group invariance | general properties of perturbation | principle of minimum sensitivity | principle of maximum conformality | CREWTHER RELATION | PHYSICS, MULTIDISCIPLINARY | ANNIHILATION | FIELD THEORY | ALPHA-S | SCHEME-DEPENDENCE | CONFORMAL SYMMETRY | TOTAL CROSS-SECTION | OPTIMIZATION | LEADING ORDER | AMBIGUITIES | Foundations | Systematic errors | Perturbation | Invariance | Quantum theory | Standards | Optimization | Quantum chromodynamics

Journal Article

Journal of the Royal Society Interface, ISSN 1742-5689, 11/2017, Volume 14, Issue 136, pp. 20170662 - 20170662

Self-organized collective coordinated behaviour is an impressive phenomenon, observed in a variety of natural and artificial systems, in which coherent global...

Scale-invariant dynamics | Collective behaviour | Distributed systems and control | Scale-free networks | RENORMALIZATION-GROUP | SMALL-WORLD | EVOLVING NETWORKS | MULTIDISCIPLINARY SCIENCES | collective behaviour | scale-invariant dynamics | scale-free networks | TRANSCRIPTIONAL REGULATORY NETWORKS | COMMUNITY STRUCTURE | SELF-ORGANIZED CRITICALITY | METABOLIC NETWORKS | WIRELESS SENSOR NETWORKS | distributed systems and control | COMPLEX NETWORKS | HIERARCHICAL ORGANIZATION | Models, Theoretical | Scale invariance | Invariance | Invariants | Spatial discrimination | Review | 1004

Scale-invariant dynamics | Collective behaviour | Distributed systems and control | Scale-free networks | RENORMALIZATION-GROUP | SMALL-WORLD | EVOLVING NETWORKS | MULTIDISCIPLINARY SCIENCES | collective behaviour | scale-invariant dynamics | scale-free networks | TRANSCRIPTIONAL REGULATORY NETWORKS | COMMUNITY STRUCTURE | SELF-ORGANIZED CRITICALITY | METABOLIC NETWORKS | WIRELESS SENSOR NETWORKS | distributed systems and control | COMPLEX NETWORKS | HIERARCHICAL ORGANIZATION | Models, Theoretical | Scale invariance | Invariance | Invariants | Spatial discrimination | Review | 1004

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2015, Volume 2015, Issue 10, pp. 1 - 24

We study the implications of scale invariance in four-dimensional quantum field theories. Imposing unitarity, we find that infinitely many matrix elements...

Space-Time Symmetries | Anomalies in Field and String Theories | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Effective field theories | PHYSICS, PARTICLES & FIELDS | Scale invariance | Joining | Invariance | Quantum theory | Linking | Nuclear and High Energy Physics | High Energy Physics - Theory

Space-Time Symmetries | Anomalies in Field and String Theories | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Effective field theories | PHYSICS, PARTICLES & FIELDS | Scale invariance | Joining | Invariance | Quantum theory | Linking | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2018, Volume 2018, Issue 3, pp. 1 - 14

Long ago, Nemeschansky and Sen demonstrated that the Ricci-flat metric on a Calabi-Yau manifold could be corrected, order by order in perturbation theory, to...

Superstrings and Heterotic Strings | Quantum Physics | Renormalization Group | Conformal Field Models in String Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | WORLD-SHEET | COMPACTIFICATIONS | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Manifolds | Physics - High Energy Physics - Theory | Symplectic Geometry | Nuclear and particle physics. Atomic energy. Radioactivity | Algebraic Geometry | Mathematics | Differential Geometry | High Energy Physics - Theory

Superstrings and Heterotic Strings | Quantum Physics | Renormalization Group | Conformal Field Models in String Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | WORLD-SHEET | COMPACTIFICATIONS | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Manifolds | Physics - High Energy Physics - Theory | Symplectic Geometry | Nuclear and particle physics. Atomic energy. Radioactivity | Algebraic Geometry | Mathematics | Differential Geometry | High Energy Physics - Theory

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 06/2019, Volume 60, Issue 6, p. 62901

The work of Kolmogorov, Arnold, and Moser appeared just before the renormalization group approach to statistical mechanics was proposed by Wilson [Phys. Rev. B...

RENORMALIZATION-GROUP | TORI | THEOREM | CONVERGENCE | BREAKUP | PROOF | PHYSICS, MATHEMATICAL | Scale invariance | Fluid dynamics | Fourier series | Statistical mechanics | Multiscale methods | Harmonic oscillators

RENORMALIZATION-GROUP | TORI | THEOREM | CONVERGENCE | BREAKUP | PROOF | PHYSICS, MATHEMATICAL | Scale invariance | Fluid dynamics | Fourier series | Statistical mechanics | Multiscale methods | Harmonic oscillators

Journal Article

The European Physical Journal C, ISSN 1434-6044, 8/2019, Volume 79, Issue 8, pp. 1 - 9

Using the background field method for the functional renormalization group approach in the case of a generic gauge theory, we study the background field...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | EQUATIONS | EXACT RENORMALIZATION-GROUP | FLOW | PHYSICS, PARTICLES & FIELDS | Gauge invariance | Gauge theory | Yang-Mills theory | Dependence | Symmetry | Physics - High Energy Physics - Theory

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | EQUATIONS | EXACT RENORMALIZATION-GROUP | FLOW | PHYSICS, PARTICLES & FIELDS | Gauge invariance | Gauge theory | Yang-Mills theory | Dependence | Symmetry | Physics - High Energy Physics - Theory

Journal Article

Fortschritte der Physik, ISSN 0015-8208, 03/2018, Volume 66, Issue 3, pp. 1700093 - n/a

In 2013, Balasubramanian presented a 5 + 1 dimensional holographic toy model that allows for an exact solution to Einstein's equations in the bulk in which the...

discrete scale invariance | AdS/CFT‐correspondence | AdS/CFT-correspondence | RENORMALIZATION-GROUP | GRAVITATIONAL COLLAPSE | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | BLACK-HOLE | PRECURSORS | CRITICAL EXPONENTS

discrete scale invariance | AdS/CFT‐correspondence | AdS/CFT-correspondence | RENORMALIZATION-GROUP | GRAVITATIONAL COLLAPSE | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | BLACK-HOLE | PRECURSORS | CRITICAL EXPONENTS

Journal Article