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The thermodynamics of gauge theories on the noncommutative plane is studied in perturbation theory. For U(1) noncommutative Yang-Mills we compute the first quantum correction to the ideal gas free energy density and study their behavior in…

High Energy Physics - Theory · Physics 2009-10-31 G. Arcioni , M. A. Vazquez-Mozo

The perturbation theory over inverse interaction constant $1/g$ is constructed for Yang-Mills theory. It is shown that the new perturbation theory is free from the gauge ghosts and Gribov's ambiguities, each order over $1/g$ presents the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Manjavidze , A. Sissakian

We use a unitary operator constructed in earlier work to transform the Hamiltonian for QCD in the temporal ($A_0=0$) gauge into a representation in which the quark field is gauge-invariant, and its elementary excitations -- quark and…

High Energy Physics - Theory · Physics 2009-10-30 Mario Belloni , Lusheng Chen , Kurt Haller

At low energies or temperatures, maximally supersymmetric Yang-Mills theory on $\mathbb R^{(t)}\times S^1$ with large $N$ gauge group $SU(N)$ and strong t'Hooft coupling is conjectured to be dual to the low energy dynamics of a collection…

High Energy Physics - Theory · Physics 2017-06-28 Oscar J. C. Dias , Jorge E. Santos , Benson Way

A perturbative regime based on contortion as a dynamical variable and metric as a (classical) fixed background, is performed in the context of a pure Yang-Mills formulation for gravity in a $2+1$ dimensional space-time. In the massless case…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Rolando Gaitan Deveras

We discuss the canonical quantization of Chern-Simons theory in $2+1$ dimensions, minimally coupled to a Dirac spinor field. Gauss's law and the gauge condition, $A_0 = 0$, are implemented by embedding the formulation in an appropriate…

High Energy Physics - Theory · Physics 2007-05-23 K. Haller , E. Lim-Lombridas

It is shown how to obtain the consistent light front form quantization of a non-Abelian pure Yang-Mills theory (gluondynamics) in the framework of the standard perturbative approach. After a short review of the previous attempts in the…

High Energy Physics - Theory · Physics 2010-12-13 M. Morara , R. Soldati , G. McCartor

Using standard field theoretical techniques, we survey pure Yang-Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent.…

High Energy Physics - Theory · Physics 2009-10-31 T. Krajewski , R. Wulkenhaar

Adding a gluino mass term to N=1 supersymmetric Yang-Mills theory breaks supersymmetry softly. In order to approach the supersymmetric continuum limit in numerical simulations with the Wilson action, the bare gluino mass has to be tuned to…

High Energy Physics - Lattice · Physics 2014-11-07 Gernot Münster , Hendrik Stüwe

We argue that the massive Yang-Mills model of Kunimasa and Goto, Slavnov, and Cornwall, in which massive gauge vector bosons are introduced in a gauge-invariant way without resorting to the Higgs mechanism, may be useful for studying…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Forshaw , J. Papavassiliou , C. Parrinello

The gauge dependence of the time-ordered products for Yang-Mills theories is analysed in perturbation theory by means of the causal method of Epstein and Glaser together with perturbative gauge invariance. This approach allows a simple…

High Energy Physics - Theory · Physics 2008-11-26 Andreas Aste , Michael D"utsch , G"unter Scharf

We show that pure Yang-Mills theories with Lorentz violation are renormalizable to all orders in perturbation theory. To do this, we employ the algebraic renormalization technique. Specifically, we control the breaking terms with a suitable…

High Energy Physics - Theory · Physics 2015-01-14 T. R. S. Santos , R. F. Sobreiro

Dual form of 3+1 dimensional Yang-Mills theory is obtained as another SO(3) gauge theory. Duality transformation is realized as a canonical transformation. The The non-abelian Gauss law implies the corresponding Gauss law for the dual…

High Energy Physics - Theory · Physics 2009-10-31 Pushan Majumdar , H. S. Sharatchandra

$\mathcal{N}=1$ supersymmetric QCD (SQCD) is a possible building block of theories beyond the standard model. It describes the interaction between gluons and quarks with their superpartners, gluinos and squarks. Since supersymmetry is…

High Energy Physics - Lattice · Physics 2018-11-06 Björn Wellegehausen , Andreas Wipf

We present the causal construction of perturbative Yang-Mills theories in four(3+1)-dimensional space-time. We work with free quantum fields throughout. The inductive causal method by Epstein and Glaser leads directly to a finite…

High Energy Physics - Theory · Physics 2009-10-28 Tobias Hurth

We present the Feynman rules for leading-twist gauge-invariant quark and gluon operators with an arbitrary number of total derivatives and applicable to any order in perturbation theory. This generalizes previous results and constitutes a…

High Energy Physics - Phenomenology · Physics 2024-08-05 G. Somogyi , S. Van Thurenhout

We start with the QCD sum rules which are originally based on the idea that it is the power-like corrections to the parton model which are related to the confinement. The naive use of the Operator Product Expansion ensures that there is a…

High Energy Physics - Phenomenology · Physics 2011-02-24 Valentin I. Zakharov

We discuss the dependence of pure Yang-Mills equation of state on the choice of gauge algebra. In the confined phase, we generalize to an arbitrary simple gauge algebra Meyer's proposal of modelling the Yang-Mills matter by an ideal…

High Energy Physics - Phenomenology · Physics 2011-11-01 Fabien Buisseret , Gwendolyn Lacroix

This talk reports on work aimed at improving our understanding of charged states in gauge theories.Emphasis is placed on different ways of implementingthe gauge invariance of physical states. QED perturbative calculations are used to stress…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Bagan , M. Lavelle , D. McMullan , B. Fiol , N. Roy

We describe a nonperturbative calculation of the spectrum of SU(2) Yang-Mills theory based on a Hamiltonian formulation. Our approach exploits gauge invariant variables similar to those used in nuclear physics to describe collective motion…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. Martin , D. Vautherin