2011, Mathematical surveys and monographs, ISBN 9780821852880, Volume 170, vii, 251

Book

Physics Reports, ISSN 0370-1573, 02/2012, Volume 511, Issue 4, pp. 177 - 272

Various aspects of the Exact Renormalization Group (ERG) are explored, starting with a review of the concepts underpinning the framework and the circumstances...

DERIVATIVE EXPANSION | MANIFESTLY GAUGE-INVARIANT | PERTURBATIVE RENORMALIZATION | PHYSICS, MULTIDISCIPLINARY | FLOW EQUATIONS | ASYMPTOTIC SAFETY SCENARIO | 2-LOOP BETA-FUNCTION | LOCAL POTENTIAL APPROXIMATION | QUANTUM-FIELD-THEORY | CRITICAL EXPONENTS | ULTRAVIOLET PROPERTIES

DERIVATIVE EXPANSION | MANIFESTLY GAUGE-INVARIANT | PERTURBATIVE RENORMALIZATION | PHYSICS, MULTIDISCIPLINARY | FLOW EQUATIONS | ASYMPTOTIC SAFETY SCENARIO | 2-LOOP BETA-FUNCTION | LOCAL POTENTIAL APPROXIMATION | QUANTUM-FIELD-THEORY | CRITICAL EXPONENTS | ULTRAVIOLET PROPERTIES

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 High Energy Physics, ISSN 1126-6708, 3/2017, Volume 2017, Issue 3, pp. 1 - 15

We present new analytical five-loop Feynman-gauge results for the anomalous dimensions of ghost field and -vertex, generalizing the known values for SU(3) to a...

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | BETA-FUNCTION | APPROXIMATION | ALGORITHM | BUBBLES | DIAGRAMS | FEYNMAN-INTEGRALS | QUANTUM CHROMODYNAMICS | REGULARIZATION | ANOMALOUS DIMENSIONS | GAUGE | PHYSICS, PARTICLES & FIELDS | Quarks | Ghosts | Gauge theory | Mathematical analysis | Gages | Gauges | Quantum chromodynamics

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | BETA-FUNCTION | APPROXIMATION | ALGORITHM | BUBBLES | DIAGRAMS | FEYNMAN-INTEGRALS | QUANTUM CHROMODYNAMICS | REGULARIZATION | ANOMALOUS DIMENSIONS | GAUGE | PHYSICS, PARTICLES & FIELDS | Quarks | Ghosts | Gauge theory | Mathematical analysis | Gages | Gauges | Quantum chromodynamics

Journal Article

Nuclear Physics, Section A, ISSN 0375-9474, 09/2014, Volume 929, pp. 202 - 229

We study the radiative processes that affect the propagation of a high energy gluon in a dense medium, such as a quark–gluon plasma. In particular, we...

Heavy ion collisions | Perturbative QCD | Jet quenching | QUARKS | PHYSICS, NUCLEAR | GLUONS | RADIATIVE ENERGY-LOSS

Heavy ion collisions | Perturbative QCD | Jet quenching | QUARKS | PHYSICS, NUCLEAR | GLUONS | RADIATIVE ENERGY-LOSS

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 09/2012, Volume 86, Issue 5

In conventional treatments, predictions from fixed-order perturbative QCD calculations cannot be fixed with certainty because of ambiguities in the choice of...

QCD | DRESSED SKELETON EXPANSION | FIELD-THEORY | CONFORMAL SYMMETRY | COUPLING-CONSTANT | ASTRONOMY & ASTROPHYSICS | OPTIMIZATION | AMBIGUITY | LEADING ORDER | PERTURBATIVE APPROACH | DEEP-INELASTIC SCATTERING | PHYSICS, PARTICLES & FIELDS | Phenomenology-HEP, Theory-HEP,HEPPH, HEPTH | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

QCD | DRESSED SKELETON EXPANSION | FIELD-THEORY | CONFORMAL SYMMETRY | COUPLING-CONSTANT | ASTRONOMY & ASTROPHYSICS | OPTIMIZATION | AMBIGUITY | LEADING ORDER | PERTURBATIVE APPROACH | DEEP-INELASTIC SCATTERING | PHYSICS, PARTICLES & FIELDS | Phenomenology-HEP, Theory-HEP,HEPPH, HEPTH | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Nuclear Physics B, ISSN 0550-3213, 12/2012, Volume 865, Issue 2, pp. 268 - 290

We present results of a Lattice QCD application of a coordinate space renormalization scheme for the extraction of renormalization constants for flavour...

Lattice QCD | Twisted mass fermions | Non-perturbative renormalization | X-space scheme | CONSTANTS | PERTURBATIVE RENORMALIZATION | ANOMALOUS DIMENSION | QUARK MASS | OPERATORS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Lattice QCD | Twisted mass fermions | Non-perturbative renormalization | X-space scheme | CONSTANTS | PERTURBATIVE RENORMALIZATION | ANOMALOUS DIMENSION | QUARK MASS | OPERATORS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2/2018, Volume 2018, Issue 2, pp. 1 - 46

The problem of scheme and gauge dependence of the factorization property of the renormalization group β-function in the SU(N c ) QCD generalized Crewther...

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | QUANTUM-CHROMODYNAMIC CORRECTIONS | VACUUM POLARIZATION | ULTRAVIOLET BEHAVIOR | DEEP-INELASTIC SCATTERING | MS-SCHEME | PERTURBATION-THEORY | CONFORMAL SYMMETRY | QCD CORRECTIONS | BJORKEN SUM-RULE | ENERGY-MOMENTUM-TENSOR | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Studies | Subtraction | Flavor (particle physics) | Factorization | Invariants | Phenomenology | High Energy Physics - Lattice | High Energy Physics - Phenomenology | High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Lattice

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | QUANTUM-CHROMODYNAMIC CORRECTIONS | VACUUM POLARIZATION | ULTRAVIOLET BEHAVIOR | DEEP-INELASTIC SCATTERING | MS-SCHEME | PERTURBATION-THEORY | CONFORMAL SYMMETRY | QCD CORRECTIONS | BJORKEN SUM-RULE | ENERGY-MOMENTUM-TENSOR | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Studies | Subtraction | Flavor (particle physics) | Factorization | Invariants | Phenomenology | High Energy Physics - Lattice | High Energy Physics - Phenomenology | High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Lattice

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2018, Volume 2018, Issue 5, pp. 1 - 16

We make progress towards resummation of power-suppressed logarithms in dijet event shapes such as thrust, which have the potential to improve high-precision...

Resummation | Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Effective Field Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Matching | Operators | Subtraction | Logarithms | Formalism | Physics - High Energy Physics - Phenomenology | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Phenomenology

Resummation | Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Effective Field Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Matching | Operators | Subtraction | Logarithms | Formalism | Physics - High Energy Physics - Phenomenology | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Phenomenology

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 6/2017, Volume 2017, Issue 6, pp. 1 - 15

We present analytical results at four-loop level for the renormalization constants and anomalous dimensions of an extended QCD model with one coupling constant...

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DIAGRAMS | BETA-FUNCTION | REDUCTION | PROPAGATORS | INVARIANT | LOOPS | REGULARIZATION | QUARK MASS | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Fermions | Computation | Mathematical analysis | Constants | Representations | Coupling | Physics - High Energy Physics - Phenomenology | Quantum Gases | Theory | Experiment | 530 Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter | Lattice | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Physics Institute

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DIAGRAMS | BETA-FUNCTION | REDUCTION | PROPAGATORS | INVARIANT | LOOPS | REGULARIZATION | QUARK MASS | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Fermions | Computation | Mathematical analysis | Constants | Representations | Coupling | Physics - High Energy Physics - Phenomenology | Quantum Gases | Theory | Experiment | 530 Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter | Lattice | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Physics Institute

Journal Article

European Physical Journal C, ISSN 1434-6044, 07/2009, Volume 62, Issue 2, pp. 333 - 353

We use renormalization-group methods in effective field theory to improve the theoretical prediction for the cross section for Higgs-boson production at hadron...

RESUMMATION | BOSON PRODUCTION | DECAY | ANNIHILATION | EXPANSION | QUARK | PERTURBATIVE QCD | DIS | PHYSICS, PARTICLES & FIELDS | Hadrons | Perturbation theory | Momentum transfer | Gluons | Perturbation methods | Higgs bosons | Field theory | Form factors | Cross sections | Mathematical analysis | Decay | Evolution | Mathematical models | Physics - High Energy Physics - Phenomenology

RESUMMATION | BOSON PRODUCTION | DECAY | ANNIHILATION | EXPANSION | QUARK | PERTURBATIVE QCD | DIS | PHYSICS, PARTICLES & FIELDS | Hadrons | Perturbation theory | Momentum transfer | Gluons | Perturbation methods | Higgs bosons | Field theory | Form factors | Cross sections | Mathematical analysis | Decay | Evolution | Mathematical models | Physics - High Energy Physics - Phenomenology

Journal Article

JHEP, ISSN 1029-8479, 01/2017, Volume 2017, Issue 3

We present new analytical five-loop Feynman-gauge results for the anomalous dimensions of ghost field and -vertex, generalizing the known values for SU(3) to a...

Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Nuclear and High Energy Physics | Theory | Perturbative QCD | Renormalization Group | High Energy Physics - Theory | Lattice

Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Nuclear and High Energy Physics | Theory | Perturbative QCD | Renormalization Group | High Energy Physics - Theory | Lattice

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 09/2017, Volume 58, Issue 9, p. 93503

We give a proof of perturbative renormalizability of SU(2) Yang–Mills theory in four-dimensional Euclidean space which is based on the flow equations of the...

WARD IDENTITIES | SYMMETRY | PERTURBATIVE RENORMALIZATION | PHYSICS, MATHEMATICAL | BOUNDS | OPERATORS | Flow equations | Euclidean geometry | Euclidean space | Functionals | Mathematical Physics | Physics

WARD IDENTITIES | SYMMETRY | PERTURBATIVE RENORMALIZATION | PHYSICS, MATHEMATICAL | BOUNDS | OPERATORS | Flow equations | Euclidean geometry | Euclidean space | Functionals | Mathematical Physics | Physics

Journal Article

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, ISSN 2050-3911, 10/2019, Volume 2019, Issue 10

We show, explicitly within perturbation theory, that the quantum master equation and the Wilsonian renormalization group flow equation can be combined such...

QUANTUM MASTER EQUATION | YANG-MILLS THEORY | SYMMETRY | PERTURBATIVE RENORMALIZATION | PHYSICS, MULTIDISCIPLINARY | FLOW EQUATIONS | GAUGE-INVARIANCE | FORMALISM | BATALIN-VILKOVISKY | ANTIBRACKET | PHYSICS, PARTICLES & FIELDS

QUANTUM MASTER EQUATION | YANG-MILLS THEORY | SYMMETRY | PERTURBATIVE RENORMALIZATION | PHYSICS, MULTIDISCIPLINARY | FLOW EQUATIONS | GAUGE-INVARIANCE | FORMALISM | BATALIN-VILKOVISKY | ANTIBRACKET | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 4/2016, Volume 2016, Issue 4, pp. 1 - 12

In this paper we study the renormalization of the product of two operators O 1 = − 1 4 G μ ν G μ ν $$ {O}_1 = -\frac{1}{4}{G}^{\mu \nu }{G}_{\mu \nu } $$ in...

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | COEFFICIENT FUNCTIONS | SCHEME | QCD | CURRENTS | ALPHA(S) | PHYSICS, PARTICLES & FIELDS | Thermal expansion | Operators | Correlation | Insertion | Texts | Scalars | Constants | Contact | Physics - High Energy Physics - Phenomenology

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | COEFFICIENT FUNCTIONS | SCHEME | QCD | CURRENTS | ALPHA(S) | PHYSICS, PARTICLES & FIELDS | Thermal expansion | Operators | Correlation | Insertion | Texts | Scalars | Constants | Contact | Physics - High Energy Physics - Phenomenology

Journal Article

16.
Full Text
The metric on field space, functional renormalization, and metric–torsion quantum gravity

Annals of Physics, ISSN 0003-4916, 04/2016, Volume 367, Issue Complete, pp. 125 - 191

Searching for new non-perturbatively renormalizable quantum gravity theories, functional renormalization group (RG) flows are studied on a theory space of...

Non-perturbative renormalization of gravity | Effective Average Action for gravity | Metric–torsion quantum gravity | Functional renormalization group | Asymptotic Safety | Quantization of gravity |

Non-perturbative renormalization of gravity | Effective Average Action for gravity | Metric–torsion quantum gravity | Functional renormalization group | Asymptotic Safety | Quantization of gravity |