2011, Cambridge monographs on particle physics, nuclear physics and cosmology, ISBN 9780521437523, Volume 31, xvii, 286

"Non-Abelian gauge theories, such as quantum chromodynamics (QCD) or electroweak theory, are best studied with the aid of Green's functions that are...

Gauge invariance | Mathematics | Green's functions | Gauge fields (Physics) | Quantum chromodynamics | Non-Abelian groups

Gauge invariance | Mathematics | Green's functions | Gauge fields (Physics) | Quantum chromodynamics | Non-Abelian groups

Book

Journal of High Energy Physics, ISSN 1126-6708, 6/2014, Volume 2014, Issue 6, pp. 1 - 33

We consider dimensional reduction of gauge theories with arbitrary gauge group in a formalism based on equivariant principal bundles. For the classical gauge...

Gauge Symmetry | Classical Theories of Gravity | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | TENSOR | BUNDLES | REDUCTION | NON-ABELIAN VORTICES | TORSION | DYNAMICAL STRUCTURE | GRAVITY | PHYSICS, PARTICLES & FIELDS | Reduction | Gravitation | Gauge theory | Joining | Gages | Invariants | Bundles | Gauges

Gauge Symmetry | Classical Theories of Gravity | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | TENSOR | BUNDLES | REDUCTION | NON-ABELIAN VORTICES | TORSION | DYNAMICAL STRUCTURE | GRAVITY | PHYSICS, PARTICLES & FIELDS | Reduction | Gravitation | Gauge theory | Joining | Gages | Invariants | Bundles | Gauges

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 07/2015, Volume 92, Issue 2

We start with an SU(N) Yang-Mills theory on a manifold M, suitably coupled to scalar fields in the adjoint representation of SU(N), which are forming a doublet...

SPECTRUM | ASTRONOMY & ASTROPHYSICS | NON-ABELIAN VORTICES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

SPECTRUM | ASTRONOMY & ASTROPHYSICS | NON-ABELIAN VORTICES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 11/2017, Volume 32, Issue 33, p. 1750193

We derive the off-shell nilpotent symmetries of the two ( 1 + 1 ) -dimensional (2D) non-Abelian 1-form gauge theory by using the theoretical techniques of the...

(anti-)BRST and (anti-)co-BRST symmetries | nilpotency and absolute anticommutativity | BRST formalism | 2D non-Abelian gauge theory | augmented version of superfield approach | Curci-Ferrari-type restrictions | FIELDS | BRS TRANSFORMATIONS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

(anti-)BRST and (anti-)co-BRST symmetries | nilpotency and absolute anticommutativity | BRST formalism | 2D non-Abelian gauge theory | augmented version of superfield approach | Curci-Ferrari-type restrictions | FIELDS | BRS TRANSFORMATIONS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 08/2016, Volume 2016, Issue 8, pp. 1 - 28

In this paper we study the general conditions that have to be met for a gauged extension of a two-dimensional bosonics-model to exist. In an inversion of the...

Gauge Symmetry | POISSON | BACKGROUND FIELD-EQUATIONS | Differential and Algebraic Geometry | NON-ABELIAN DUALITY | GRAVITY | STRING THEORY | To be checked by Faculty | WESS-ZUMINO TERM | LIE T-DUALITY | Sigma Models | MANIFOLDS | TRANSFORMATIONS | GEOMETRY | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Gauging | Field theory | Gaging | Gages | Joints | Invariants | Gauges | Symmetry | Physics - High Energy Physics - Theory

Gauge Symmetry | POISSON | BACKGROUND FIELD-EQUATIONS | Differential and Algebraic Geometry | NON-ABELIAN DUALITY | GRAVITY | STRING THEORY | To be checked by Faculty | WESS-ZUMINO TERM | LIE T-DUALITY | Sigma Models | MANIFOLDS | TRANSFORMATIONS | GEOMETRY | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Gauging | Field theory | Gaging | Gages | Joints | Invariants | Gauges | Symmetry | Physics - High Energy Physics - Theory

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 07/2016, Volume 31, Issue 21, p. 1640005

Gauge-flation model at zeroth-order in cosmological perturbation theory offers an interesting scenario for realizing inflation within a particle physics...

inflation | Non-Abelian gauge fields | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

inflation | Non-Abelian gauge fields | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

Journal Article

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, ISSN 0370-2693, 10/2012, Volume 717, Issue 1-3, pp. 6 - 9

Gauge-flation, non-Abelian gauge field inflation, which was introduced in Maleknejad and Sheikh-Jabbari (2011) [4] and analyzed more thoroughly in Maleknejad...

Gauge-flation | Inflation | Non-Abelian gauge theory | Axion | PHYSICS, MULTIDISCIPLINARY | Inflation (Finance)

Gauge-flation | Inflation | Non-Abelian gauge theory | Axion | PHYSICS, MULTIDISCIPLINARY | Inflation (Finance)

Journal Article

Physics Reports, ISSN 0370-1573, 2009, Volume 479, Issue 1, pp. 1 - 152

We review the theoretical foundations and the most important physical applications of the Pinch Technique (PT). This general method allows the construction of...

Greens functions | Schwinger–Dyson equations | Non-Abelian gauge theories | Gluons | Gauge bosons | Dynamical mass generation | Gauge-invariance | Schwinger-Dyson equations | DYNAMICAL MODEL | ELECTROWEAK RADIATIVE-CORRECTIONS | YANG-MILLS | PHYSICS, MULTIDISCIPLINARY | BACKGROUND-FIELD METHOD | SPONTANEOUS SYMMETRY-BREAKING | PERTURBATION-THEORY | BROKEN SYMMETRIES | GLUON SELF-ENERGY | ONE-LOOP CORRECTIONS | ABELIAN GAUGE-THEORIES

Greens functions | Schwinger–Dyson equations | Non-Abelian gauge theories | Gluons | Gauge bosons | Dynamical mass generation | Gauge-invariance | Schwinger-Dyson equations | DYNAMICAL MODEL | ELECTROWEAK RADIATIVE-CORRECTIONS | YANG-MILLS | PHYSICS, MULTIDISCIPLINARY | BACKGROUND-FIELD METHOD | SPONTANEOUS SYMMETRY-BREAKING | PERTURBATION-THEORY | BROKEN SYMMETRIES | GLUON SELF-ENERGY | ONE-LOOP CORRECTIONS | ABELIAN GAUGE-THEORIES

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 10/2013, Volume 52, Issue 10, pp. 3522 - 3533

We have made an attempt to describe the octonion formulation of Abelian and non-Abelian gauge theory of dyons in terms of 2×2 Zorn vector matrix realization....

Octonions | Theoretical, Mathematical and Computational Physics | Zorn vector matrix realization | Dyons | Quantum Physics | Physics, general | Physics | Abelian and non-Abelian gauge theories | Elementary Particles, Quantum Field Theory | Monopole | QUANTUM FIELD-THEORY | SPIN | PHYSICS, MULTIDISCIPLINARY | ELECTRODYNAMICS | MAGNETIC MONOPOLES | CHARGES | DIRAC MONOPOLE | EQUATIONS

Octonions | Theoretical, Mathematical and Computational Physics | Zorn vector matrix realization | Dyons | Quantum Physics | Physics, general | Physics | Abelian and non-Abelian gauge theories | Elementary Particles, Quantum Field Theory | Monopole | QUANTUM FIELD-THEORY | SPIN | PHYSICS, MULTIDISCIPLINARY | ELECTRODYNAMICS | MAGNETIC MONOPOLES | CHARGES | DIRAC MONOPOLE | EQUATIONS

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 06/2015, Volume 91, Issue 12

We study N = 1 supersymmetric gauge theories coupled with higher derivative chiral models in four dimensions in the off-shell superfield formalism. We solve...

VORTICES | BOGOMOLNYI SOLITONS | ASTRONOMY & ASTROPHYSICS | JUNCTIONS | CONSTRUCTION | EQUATIONS | MODULI SPACE | NONLINEAR SIGMA-MODELS | SUPERCONDUCTORS | NON-ABELIAN WALLS | PHYSICS, PARTICLES & FIELDS

VORTICES | BOGOMOLNYI SOLITONS | ASTRONOMY & ASTROPHYSICS | JUNCTIONS | CONSTRUCTION | EQUATIONS | MODULI SPACE | NONLINEAR SIGMA-MODELS | SUPERCONDUCTORS | NON-ABELIAN WALLS | PHYSICS, PARTICLES & FIELDS

Journal Article

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, ISSN 0217-751X, 08/2019, Volume 34, Issue 24

We exploit the power and potential of the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism to derive the nilpotent...

nilpotency property | (anti-)BRST charges | FIELDS | SYMMETRIES | N=2 SUSY charges | interacting non-Abelian 1-form gauge theory with Dirac fields | PHYSICS, NUCLEAR | N=2 SUSY harmonic oscillator | (Anti-)chiral superfield approach | absolute anticommutativity property | (anti-)BRST symmetries | N=2 SUSY symmetries | (anti-)chiral super-variable approach | BRS INVARIANCE | PHYSICS, PARTICLES & FIELDS

nilpotency property | (anti-)BRST charges | FIELDS | SYMMETRIES | N=2 SUSY charges | interacting non-Abelian 1-form gauge theory with Dirac fields | PHYSICS, NUCLEAR | N=2 SUSY harmonic oscillator | (Anti-)chiral superfield approach | absolute anticommutativity property | (anti-)BRST symmetries | N=2 SUSY symmetries | (anti-)chiral super-variable approach | BRS INVARIANCE | PHYSICS, PARTICLES & FIELDS

Journal Article

12.
Full Text
Non-Abelian gauge fields as components of gravity in the discretized Kaluza–Klein theory

Modern Physics Letters A, ISSN 0217-7323, 06/2017, Volume 32, Issue 18, p. 1750095

Discretized Kaluza–Klein theory in ℳ 2 × Z 2 spacetime can be constructed based on the concepts of noncommutative geometry. In this paper, we show that it is...

Discretized Kaluza-Klein theory | non-Abelian gauge theories | noncommutative geometry | extensions of general relativity | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

Discretized Kaluza-Klein theory | non-Abelian gauge theories | noncommutative geometry | extensions of general relativity | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 10/2019, Volume 58, Issue 10, pp. 3203 - 3224

The Seiberg-Witten formalism has been realized as an electrodynamics in phase space (associated to the Dirac equation written in phase space) and this fact is...

Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | Phase space | Seiberg-Witten formalism | Physics | Non-abelian gauge theory | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | NONCOMMUTATIVE GEOMETRY | Physics - High Energy Physics - Theory

Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | Phase space | Seiberg-Witten formalism | Physics | Non-abelian gauge theory | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | NONCOMMUTATIVE GEOMETRY | Physics - High Energy Physics - Theory

Journal Article

Physics Letters B, ISSN 0370-2693, 01/2010, Volume 682, Issue 4-5, pp. 484 - 489

We investigate the effect of a uniform background magnetic field on the chiral symmetry breaking in SU(2) Yang–Mills theory on the lattice. We observe that the...

Chiral symmetry breaking | Strong magnetic fields | Quantum chromodynamics | CONDENSATE | TRANSITION | DIRAC EIGENMODES | ASTRONOMY & ASTROPHYSICS | QUARKS | PHYSICS, NUCLEAR | MODEL | CENTER VORTICES | PHYSICS, PARTICLES & FIELDS | Magnetic fields | Analysis | High Energy Physics - Lattice | High Energy Physics - Phenomenology | High Energy Physics - Theory | Physics

Chiral symmetry breaking | Strong magnetic fields | Quantum chromodynamics | CONDENSATE | TRANSITION | DIRAC EIGENMODES | ASTRONOMY & ASTROPHYSICS | QUARKS | PHYSICS, NUCLEAR | MODEL | CENTER VORTICES | PHYSICS, PARTICLES & FIELDS | Magnetic fields | Analysis | High Energy Physics - Lattice | High Energy Physics - Phenomenology | High Energy Physics - Theory | Physics

Journal Article

Annals of Physics, ISSN 0003-4916, 2009, Volume 324, Issue 4, pp. 735 - 786

We study the Hamiltonian approach to 1 + 1 dimensional Yang–Mills theory in Coulomb gauge, considering both the pure Coulomb gauge and the gauge where in...

Yang–Mills theory | Hamiltonian approach | Gluon propagator | Variational methods | Coulomb gauge | Dyson–Schwinger equations | Gribov problem | Non-abelian | Colour Coulomb potential | 1 + 1 Dimensions | Fundamental modular region | Ghost propagator | Coulomb string tension | Yang-Mills theory | Dyson-Schwinger equations | COLOR CONFINEMENT | VACUUM | PHYSICS, MULTIDISCIPLINARY | 1+1 Dimensions | FIELD | QCD | OPERATOR | RENORMALIZATION | Mathematics | Physics | Quantum theory | CHARGE STATES | YANG-MILLS THEORY | FOUR-DIMENSIONAL CALCULATIONS | DYSON REPRESENTATION | SCHROEDINGER EQUATION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | APPROXIMATIONS | ALGEBRA | SCHWINGER FUNCTIONAL EQUATIONS | TWO-DIMENSIONAL CALCULATIONS | GAUGE INVARIANCE | VARIATIONAL METHODS | GLUONS | HAMILTONIANS | COULOMB FIELD | FUNCTIONALS | PROPAGATOR

Yang–Mills theory | Hamiltonian approach | Gluon propagator | Variational methods | Coulomb gauge | Dyson–Schwinger equations | Gribov problem | Non-abelian | Colour Coulomb potential | 1 + 1 Dimensions | Fundamental modular region | Ghost propagator | Coulomb string tension | Yang-Mills theory | Dyson-Schwinger equations | COLOR CONFINEMENT | VACUUM | PHYSICS, MULTIDISCIPLINARY | 1+1 Dimensions | FIELD | QCD | OPERATOR | RENORMALIZATION | Mathematics | Physics | Quantum theory | CHARGE STATES | YANG-MILLS THEORY | FOUR-DIMENSIONAL CALCULATIONS | DYSON REPRESENTATION | SCHROEDINGER EQUATION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | APPROXIMATIONS | ALGEBRA | SCHWINGER FUNCTIONAL EQUATIONS | TWO-DIMENSIONAL CALCULATIONS | GAUGE INVARIANCE | VARIATIONAL METHODS | GLUONS | HAMILTONIANS | COULOMB FIELD | FUNCTIONALS | PROPAGATOR

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2/2012, Volume 2012, Issue 2, pp. 1 - 50

We consider G-equivariant dimensional reduction of Yang-Mills theory with torsion on manifolds of the form M × G/H where M is a smooth manifold, and G/H is a...

Solitons Monopoles and Instantons | Flux compactifications | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Field theories in higher dimensions | Solitons monopoles and instantons | YANG-MILLS CONNECTIONS | RIEMANN SURFACES | EQUATIONS | KAC-MOODY ALGEBRAS | DIMENSIONAL REDUCTION | COSET SPACES | GREATER-THAN 4 | NON-ABELIAN VORTICES | STABLE VECTOR-BUNDLES | HETEROTIC SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS

Solitons Monopoles and Instantons | Flux compactifications | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Field theories in higher dimensions | Solitons monopoles and instantons | YANG-MILLS CONNECTIONS | RIEMANN SURFACES | EQUATIONS | KAC-MOODY ALGEBRAS | DIMENSIONAL REDUCTION | COSET SPACES | GREATER-THAN 4 | NON-ABELIAN VORTICES | STABLE VECTOR-BUNDLES | HETEROTIC SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS

Journal Article

Physics Letters B, ISSN 0370-2693, 04/2016, Volume 755, pp. 88 - 91

We investigate the non-Abelian Aharonov–Bohm (AB) effect for time-dependent gauge fields. We prove that the non-Abelian AB phase shift related to...

Flux quantization | Time-dependent gauge fields | Non-Abelian | Aharonov–Bohm effect | Aharonov-Bohm effect | PHASE | QUANTUM THEORY | ELECTROMAGNETIC POTENTIALS | ASTRONOMY & ASTROPHYSICS | FLUX-QUANTIZATION | PHYSICS, NUCLEAR | MAGNETIC-FLUX | PHYSICS, PARTICLES & FIELDS | Magnetic fields | Time dependence | Adjoints | Elementary particles | Representations | Gages | Gauges | Nuclear and High Energy Physics | Condensed Matter | Quantum Physics | Condensed Matter - Superconductivity | Mesoscopic Systems and Quantum Hall Effect | High Energy Physics - Theory | Physics

Flux quantization | Time-dependent gauge fields | Non-Abelian | Aharonov–Bohm effect | Aharonov-Bohm effect | PHASE | QUANTUM THEORY | ELECTROMAGNETIC POTENTIALS | ASTRONOMY & ASTROPHYSICS | FLUX-QUANTIZATION | PHYSICS, NUCLEAR | MAGNETIC-FLUX | PHYSICS, PARTICLES & FIELDS | Magnetic fields | Time dependence | Adjoints | Elementary particles | Representations | Gages | Gauges | Nuclear and High Energy Physics | Condensed Matter | Quantum Physics | Condensed Matter - Superconductivity | Mesoscopic Systems and Quantum Hall Effect | High Energy Physics - Theory | Physics

Journal Article