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YANG-MILLS THEORY

QUANTUM YANG MILLS THEORY

QUANTUM YANG MILLS THEORY

... Partial results on the three-dimensional ψψϕ interaction have been established, see [30], as well as for other more singular interactions [14]. 6.5. YangMills Theory. Much of the mathematical ...

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Yang-Mills theory and the ABC conjecture

Yang-Mills theory and the ABC conjecture

... We establish a precise correspondence between the ABC Conjecture and N = 4 super-Yang-Mills theory. This is achieved by combining three ingredients: (i) Elkies’ method of mapping ABC-triples to ...

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Yang Mills Theory in Six Dimensional Superspace

Yang Mills Theory in Six Dimensional Superspace

... Our method for solving constraints is then applied to the constrained N=2 Yang-Mills theory, and we obtain an explicit solution in terms of an unconstrained superfield.[r] ...

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On the Cohomological Derivation of Yang Mills Theory in the Antifield Formalism

On the Cohomological Derivation of Yang Mills Theory in the Antifield Formalism

... We present a brief review of the cohomological solutions of self-coupling in- teractions of the fields in the free Yang-Mills theory. All consistent interac- tions among the fields have been obtained ...

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Callan-Symanzik equations for infrared Yang-Mills theory

Callan-Symanzik equations for infrared Yang-Mills theory

... a theory without confinement is set equal to its physical ...of Yang-Mills theory in the UV ...gauge theory within a wider class of e ff ective ...

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Callan-Symanzik approach to infrared Yang-Mills theory

Callan-Symanzik approach to infrared Yang-Mills theory

... Abstract. Dyson-Schwinger equations are the most common tool for the determination of the correlation functions of Landau gauge Yang-Mills theory in the continuum, in partic- ular in the infrared ...

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Fiber Bundles, Yang-Mills Theory, and General Relativity

Fiber Bundles, Yang-Mills Theory, and General Relativity

... in Yang-Mills theory as one would in general relativity, there is still an important difference regarding how one ultimately views the principal bundles and principal connec- tions that one ...

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2D Kac-Moody symmetry of 4D Yang-Mills theory

2D Kac-Moody symmetry of 4D Yang-Mills theory

... The nonabelian interactions of Yang-Mills theory lead to some surprising new features that are not present in parallel analyses of gravity [12, 13] and QED [15]. As pointed out to us by S. Caron-Huot ...

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The Makeenko–Migdal Equation for Yang–Mills Theory on compact surfaces

The Makeenko–Migdal Equation for Yang–Mills Theory on compact surfaces

... Abstract: We prove the Makeenko–Migdal equation for two-dimensional Eu- clidean YangMills theory on an arbitrary compact surface, possibly with bound- ary. In particular, we show that two of the ...

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Gauge invariant Hamiltonian formulation of lattice Yang Mills theory

Gauge invariant Hamiltonian formulation of lattice Yang Mills theory

... lattice Yang-Mills theory was based on the cotangent bundle of the group ...lattice theory which in the continuum limit reduces to the continuous ...the theory of Poisson-Lie and ...

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Two-dimensional N = 2 Super-Yang-Mills Theory

Two-dimensional N = 2 Super-Yang-Mills Theory

... Figure 3: Left: Correlation functions for the gluino-glueball contracted with the identity matrix (C GG ) and with Γ 0 (C GG0 ). Right: Glueball correlation function with zoom into the region t ∈ [3, 61]. Finally we ...

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Non-confinement in Three Dimensional Supersymmetric Yang Mills Theory

Non-confinement in Three Dimensional Supersymmetric Yang Mills Theory

... (2) YangMills theory is studied, especially in relation to the issue of ...gauge theory, it is argued that there is no confinement in N=2 supersymmetric YangMills ...

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Supermultiplets in N=1 SUSY SU(2) Yang-Mills Theory

Supermultiplets in N=1 SUSY SU(2) Yang-Mills Theory

... Supersymmetric models have been analyzed extensively within the framework of perturbation the- ory. On the other hand, it is desirable to gain more insight in their non-perturbative properties. We study N = 1 ...

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About renormalization of the Yang – Mills theory and the approach to calculation of the heat kernel

About renormalization of the Yang – Mills theory and the approach to calculation of the heat kernel

... Namely, the heat kernel will be considered since it plays a main role in this formalism. In particular, the method for calculating of coefficients of arbitrary order will be proposed. 1 Introduction to Yang – ...

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Thermodynamics of SU(2) quantum Yang-Mills theory and CMB anomalies

Thermodynamics of SU(2) quantum Yang-Mills theory and CMB anomalies

... Effective Yang-Mills thermodynamics and SU(2) CMB To understand non-Abelian quantum gauge theory requires unconventional thinking because, except for asymptotically large momentum transfer [1, 2], ...

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Quantum fields in the non-perturbative regime: Yang-Mills theory and gravity

Quantum fields in the non-perturbative regime: Yang-Mills theory and gravity

... Quantum fields in the non-perturbative regime – Yang-Mills theory and gravity Abstract In this thesis we study candidates for fundamental quantum field theories, namely non-Abelian gauge t[r] ...

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Deconfinement phase transition in the Hamiltonian approach to Yang–Mills theory in Coulomb gauge

Deconfinement phase transition in the Hamiltonian approach to Yang–Mills theory in Coulomb gauge

... Auf der Morgenstelle 14 D-72076 Tübingen Abstract. Recent results obtained for the deconfinement phase transition within the Hamiltonian approach to YangMills theory are reviewed. Assuming a ...

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Finite temperature and the Polyakov loop in the covariant variational approach to Yang-Mills Theory

Finite temperature and the Polyakov loop in the covariant variational approach to Yang-Mills Theory

... Abstract. We extend the covariant variational approach for Yang-Mills theory in Landau gauge to non-zero temperatures. Numerical solutions for the thermal propagators are presented and compared to ...

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Spectral densities in hot Yang-Mills theory

Spectral densities in hot Yang-Mills theory

... For flavor current correlator, 5-loop vacuum result and accurate lattice data available ⇒ Model-independent analytic continuation of Euclidean correlator, resulting in predictions for fl[r] ...
The five-loop beta function of Yang-Mills theory with fermions

The five-loop beta function of Yang-Mills theory with fermions

... Obtaining the beta function through the background field gauge is faster and simpler than the traditional method of computing the gluon propagator, ghost propagator and ghost-ghost-gluon[r] ...

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