Computer physics communications, ISSN 0010-4655, 2012, Volume 183, Issue 6, pp. 1290 - 1320

We present the Mathematica application DoFun1 which allows to derive Dyson–Schwinger equations and renormalization group flow equations for n-point functions in a simple manner...

Functional renormalization group equations | Correlation functions | Dyson–Schwinger equations | Quantum field theory | Dyson-Schwinger equations | YANG-MILLS THEORY | FIELD THEORY | PHYSICS, MATHEMATICAL | INFRARED BEHAVIOR | FLOW | CRITICAL EXPONENTS | PHASE | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | QCD | TEMPERATURE | EVOLUTION EQUATION | SYMMETRY-BREAKING

Functional renormalization group equations | Correlation functions | Dyson–Schwinger equations | Quantum field theory | Dyson-Schwinger equations | YANG-MILLS THEORY | FIELD THEORY | PHYSICS, MATHEMATICAL | INFRARED BEHAVIOR | FLOW | CRITICAL EXPONENTS | PHASE | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | QCD | TEMPERATURE | EVOLUTION EQUATION | SYMMETRY-BREAKING

Journal Article

Computer physics communications, ISSN 0010-4655, 2011, Volume 182, Issue 3, pp. 808 - 833

SARAH is a Mathematica package for studying supersymmetric models. It calculates for a given model the masses, tadpole equations and all vertices at tree-level...

Supersymmetry | Model building | Representation theory of [formula omitted] | Renormalization group equations | Tadpole equations | Mathematica | CalcHep | SARAH | FeynArts | Self-energies | Representation theory of SU (N) | BREAKING | BETA-FUNCTION | 2-LOOP RENORMALIZATION | Representation theory of SU(N) | SCALAR MASS | ELECTROWEAK | PHYSICS, MATHEMATICAL | GRAND UNIFIED THEORIES | STANDARD MODEL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FEYNMAN DIAGRAMS | UNIFICATION | PHYSICS | Computer simulation | Mathematical analysis | Handles | Summaries | Mathematical models | Representations | Gages | Gauges

Supersymmetry | Model building | Representation theory of [formula omitted] | Renormalization group equations | Tadpole equations | Mathematica | CalcHep | SARAH | FeynArts | Self-energies | Representation theory of SU (N) | BREAKING | BETA-FUNCTION | 2-LOOP RENORMALIZATION | Representation theory of SU(N) | SCALAR MASS | ELECTROWEAK | PHYSICS, MATHEMATICAL | GRAND UNIFIED THEORIES | STANDARD MODEL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FEYNMAN DIAGRAMS | UNIFICATION | PHYSICS | Computer simulation | Mathematical analysis | Handles | Summaries | Mathematical models | Representations | Gages | Gauges

Journal Article

Nuclear physics. B, ISSN 0550-3213, 2018, Volume 934, pp. 265 - 316

We discuss the concept of gauge-invariant fields for non-abelian gauge theories. Infinitesimal fluctuations around a given gauge field can be split into...

VACUUM | EXACT EVOLUTION EQUATION | SYMMETRY | QCD | PHASE-TRANSITION | AVERAGE ACTION | EXACT RENORMALIZATION-GROUP | SUPERCONDUCTORS | DEPENDENCE | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Phenomenology | High Energy Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Lattice

VACUUM | EXACT EVOLUTION EQUATION | SYMMETRY | QCD | PHASE-TRANSITION | AVERAGE ACTION | EXACT RENORMALIZATION-GROUP | SUPERCONDUCTORS | DEPENDENCE | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Phenomenology | High Energy Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Lattice

Journal Article

International journal of modern physics. A, Particles and fields, gravitation, cosmology, ISSN 1793-656X, 2018, Volume 33, Issue 26, p. 1830024

Starting from a well-defined local Lagrangian, we analyze the renormalization group equations in terms of the two different arbitrary scales associated with the regularization procedure and with the...

dimensional regularization | Field theory | renormalization group equations | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS

dimensional regularization | Field theory | renormalization group equations | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS

Journal Article

Nuclear physics. B, ISSN 0550-3213, 2018, Volume 931, Issue C, pp. 262 - 282

We propose a closed gauge-invariant functional flow equation for Yang–Mills theories and quantum gravity that only involves one macroscopic gauge field or metric...

DIMENSIONS | EXACT EVOLUTION EQUATION | SYMMETRY | QCD | PHASE-TRANSITION | AVERAGE ACTION | QUANTUM-GRAVITY | EXACT RENORMALIZATION-GROUP | FIXED-POINTS | SUPERCONDUCTORS | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics | Theory | High Energy Physics - Theory | Lattice

DIMENSIONS | EXACT EVOLUTION EQUATION | SYMMETRY | QCD | PHASE-TRANSITION | AVERAGE ACTION | QUANTUM-GRAVITY | EXACT RENORMALIZATION-GROUP | FIXED-POINTS | SUPERCONDUCTORS | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics | Theory | High Energy Physics - Theory | Lattice

Journal Article

Computer physics communications, ISSN 0010-4655, 2020, Volume 248, p. 107058

We present version 3.0 of the Mathematica package DoFun for the derivation of functional equations...

Functional renormalization group equations | Composite operators | Correlation functions | Dyson–Schwinger equations | Quantum field theory | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | QCD | FEYNCALC | PACKAGE | Dysoz-Schwinger equations | PHYSICS, MATHEMATICAL | INFRARED BEHAVIOR

Functional renormalization group equations | Composite operators | Correlation functions | Dyson–Schwinger equations | Quantum field theory | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | QCD | FEYNCALC | PACKAGE | Dysoz-Schwinger equations | PHYSICS, MATHEMATICAL | INFRARED BEHAVIOR

Journal Article

The journal of high energy physics, ISSN 1029-8479, 2018, Volume 2018, Issue 3, pp. 1 - 25

We discuss the different forms of the functional RG equation and their relation to each...

Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Models of Quantum Gravity | Elementary Particles, Quantum Field Theory | DERIVATIVE EXPANSION | EVOLUTION EQUATION | HEAT-KERNEL | EXACT RENORMALIZATION-GROUP | PHYSICS, PARTICLES & FIELDS | Analysis | Gravity | Flow equations | Safety programs | Regularization | Quantum gravity | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Phenomenology | High Energy Physics - Theory

Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Models of Quantum Gravity | Elementary Particles, Quantum Field Theory | DERIVATIVE EXPANSION | EVOLUTION EQUATION | HEAT-KERNEL | EXACT RENORMALIZATION-GROUP | PHYSICS, PARTICLES & FIELDS | Analysis | Gravity | Flow equations | Safety programs | Regularization | Quantum gravity | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Phenomenology | High Energy Physics - Theory

Journal Article

The Journal of chemical physics, ISSN 1089-7690, 2008, Volume 128, Issue 23, pp. 234703 - 234703-15

A generalized quantum master equation theory that governs the exact, nonperturbative quantum dissipation and quantum transport is formulated in terms of hierarchically coupled equations of motion...

CONDUCTANCE | RENORMALIZATION-GROUP | ANDERSON MODEL | EVOLUTION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | ZERO-BIAS ANOMALIES | DOTS

CONDUCTANCE | RENORMALIZATION-GROUP | ANDERSON MODEL | EVOLUTION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | ZERO-BIAS ANOMALIES | DOTS

Journal Article

Computer Physics Communications, ISSN 0010-4655, 03/2014, Volume 185, Issue 3, pp. 1130 - 1152

Abstract Although the two-loop renormalization group equations for a general gauge field theory have been known for quite some time, deriving them for specific models has often been difficult in practice...

Running coupling constants | Physics beyond the standard model | Model building | Quantum field theory | Renormalization group equations | SPHENO | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SUPERSYMMETRY | QUANTUM-FIELD THEORY | MODEL | PHYSICS, MATHEMATICAL | PROGRAM | Physics - High Energy Physics - Phenomenology | High Energy Physics - Phenomenology | Physics

Running coupling constants | Physics beyond the standard model | Model building | Quantum field theory | Renormalization group equations | SPHENO | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SUPERSYMMETRY | QUANTUM-FIELD THEORY | MODEL | PHYSICS, MATHEMATICAL | PROGRAM | Physics - High Energy Physics - Phenomenology | High Energy Physics - Phenomenology | Physics

Journal Article

Reports on progress in physics, ISSN 1361-6633, 2017, Volume 80, Issue 4, p. 046601

This review provides a pedagogic and self-contained introduction to master equations and to their representation by path integrals...

rare event probabilities | path summation | Markov processes | spectral analysis | master equations | stochastic processes | path integrals | FOKKER-PLANCK EQUATION | RENORMALIZATION-GROUP | BIRTH-DEATH PROCESSES | PHYSICS, MULTIDISCIPLINARY | REACTION-DIFFUSION PROCESSES | ASYMMETRIC EXCLUSION MODEL | NON-MARKOV PROCESSES | NEAR-CRITICAL POINT | RELATIVE SPECIES ABUNDANCE | ANNIHILATING RANDOM-WALKS | ONSAGER-MACHLUP FUNCTION

rare event probabilities | path summation | Markov processes | spectral analysis | master equations | stochastic processes | path integrals | FOKKER-PLANCK EQUATION | RENORMALIZATION-GROUP | BIRTH-DEATH PROCESSES | PHYSICS, MULTIDISCIPLINARY | REACTION-DIFFUSION PROCESSES | ASYMMETRIC EXCLUSION MODEL | NON-MARKOV PROCESSES | NEAR-CRITICAL POINT | RELATIVE SPECIES ABUNDANCE | ANNIHILATING RANDOM-WALKS | ONSAGER-MACHLUP FUNCTION

Journal Article

New Journal of Physics, ISSN 1367-2630, 11/2017, Volume 19, Issue 11, p. 113051

We derive flow equations for cold atomic gases with one macroscopically populated energy level...

cold Bose gases | mesoscopic systems | similarity renormalization group | MONTE-CARLO | RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | HAMILTONIANS | NUCLEAR-PHYSICS | CLUSTER | Truncation errors | Ground state | Flow equations | Energy levels | Cold flow

cold Bose gases | mesoscopic systems | similarity renormalization group | MONTE-CARLO | RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | HAMILTONIANS | NUCLEAR-PHYSICS | CLUSTER | Truncation errors | Ground state | Flow equations | Energy levels | Cold flow

Journal Article

Computer physics communications, ISSN 0010-4655, 2013, Volume 184, Issue 8, pp. 1931 - 1945

FlowPy is a numerical toolbox for the solution of partial differential equations encountered in Functional Renormalization Group equations...

Functional renormalization group equations | Momentum dependent flow equations | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL

Functional renormalization group equations | Momentum dependent flow equations | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2014, Volume 2014, Issue 8

The effective diagram technique based on the Schwinger-Dyson equations is constructed for N...

Renormalization Group | Keywords: Supersymmetric gauge theory | SUPERSYMMETRIC GAUGE-THEORIES | INVARIANT REGULARIZATION | ANOMALY PUZZLE | Supersymmetric gauge theory | QUANTUM CORRECTIONS | SCHEME | YANG-MILLS THEORIES | MANN-LOW FUNCTION | DIMENSIONAL REGULARIZATION | PAULI-VILLARS REGULARIZATION | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Renormalization Group | Keywords: Supersymmetric gauge theory | SUPERSYMMETRIC GAUGE-THEORIES | INVARIANT REGULARIZATION | ANOMALY PUZZLE | Supersymmetric gauge theory | QUANTUM CORRECTIONS | SCHEME | YANG-MILLS THEORIES | MANN-LOW FUNCTION | DIMENSIONAL REGULARIZATION | PAULI-VILLARS REGULARIZATION | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 02/2015, Volume 142, Issue 8, p. 084117

The free-complement (FC) method is a general method for solving the Schrodinger equation (SE...

MATRIX RENORMALIZATION-GROUP | ITERATIVE CONFIGURATION-INTERACTION | GROUND-STATE | COLLOCATION METHOD | DIRAC EQUATIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | VIBRATIONAL BOUND-STATES | HYDROGEN-ATOM | EXACT WAVE-FUNCTION | ELECTRONIC-STRUCTURE | EXCITED-STATES | Quantum Theory | Models, Chemical | Hydrogen - chemistry | Helium - chemistry | Schroedinger equation | Helium | Sampling | Integrals | INTEGRALS | HYDROGEN | MATHEMATICAL SOLUTIONS | SAMPLING | SCHROEDINGER EQUATION | INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY | ATOMS | POTENTIALS | COMPARATIVE EVALUATIONS | HELIUM | VARIATIONAL METHODS | MOLECULES

MATRIX RENORMALIZATION-GROUP | ITERATIVE CONFIGURATION-INTERACTION | GROUND-STATE | COLLOCATION METHOD | DIRAC EQUATIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | VIBRATIONAL BOUND-STATES | HYDROGEN-ATOM | EXACT WAVE-FUNCTION | ELECTRONIC-STRUCTURE | EXCITED-STATES | Quantum Theory | Models, Chemical | Hydrogen - chemistry | Helium - chemistry | Schroedinger equation | Helium | Sampling | Integrals | INTEGRALS | HYDROGEN | MATHEMATICAL SOLUTIONS | SAMPLING | SCHROEDINGER EQUATION | INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY | ATOMS | POTENTIALS | COMPARATIVE EVALUATIONS | HELIUM | VARIATIONAL METHODS | MOLECULES

Journal Article