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To formulate two-dimensional Yang-Mills theory with adjoint matter fields in the large-N limit as classical mechanics, we derive a Poisson algebra for the color-invariant observables involving adjoint matter fields. We showed rigorously in…

高能物理 - 理论 · 物理学 2009-10-31 C. -W. H. Lee , S. G. Rajeev

In this work, the quantization of the Yang-Mills theory is worked out by means of Dirac's canonical quantization method, using the generalized Coulomb gauge fixing conditions. Following the construction of the matrix composed of all the…

高能物理 - 理论 · 物理学 2017-02-03 M. K. Gümüş , M. Boz

We propose a trick which enables one to incorporate the Gribov horizon into the Schwinger-Dyson equation in Landau and Coulomb gauge Yang-Mills theory, using the Gribov-Zwanziger framework with the horizon term. We find a family of…

高能物理 - 理论 · 物理学 2009-09-29 Kei-Ichi Kondo

We discuss a non-minimal Einstein-Yang-Mills-Higgs model with uniaxial anisotropy in the group space associated with the Higgs field. We apply this theory to the problem of propagation of color and color-acoustic waves in the gravitational…

广义相对论与量子宇宙学 · 物理学 2008-11-26 A. B. Balakin , H. Dehnen , A. E. Zayats

We consider the Dirac equation with an external Yang-Mills gauge field in a homogeneous space with an invariant metric. The Yang-Mills fields for which the motion group of the space serves as the symmetry group for the Dirac equation are…

广义相对论与量子宇宙学 · 物理学 2017-01-06 A. I. Breev , A. V. Shapovalov

The damping of high momentum excitations in strongly coupled maximally supersymmetric Yang-Mills plasma is studied. Previous calculations of the asymptotic behavior of the quasinormal mode spectrum are extended and clarified. We confirm…

高能物理 - 理论 · 物理学 2017-02-01 John F. Fuini , Christoph F. Uhlemann , Laurence G. Yaffe

We perform the Batalin-Vilkovisky quantization of Yang-Mills theory on a 2-point space, discussing the formulation of Connes-Lott as well as Connes' real spectral triple approach. Despite of the model's apparent simplicity the gauge…

高能物理 - 理论 · 物理学 2015-06-26 H. Huffel

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…

高能物理 - 理论 · 物理学 2009-10-31 G. Arcioni , M. A. Vazquez-Mozo

As part of the Snowmass community planning exercise, we highlight an ongoing program of research into the structure of scattering amplitudes in N=4 super-Yang-Mills theory, particularly in the planar limit of a large number of colors. This…

高能物理 - 理论 · 物理学 2022-07-22 Nima Arkani-Hamed , Lance J. Dixon , Andrew J. McLeod , Marcus Spradlin , Jaroslav Trnka , Anastasia Volovich

We analyze the nonrelativistic quantum scattering problem of a charged particle by an Abelian magnetic monopole in the background of a global monopole. In addition to the magnetic and geometric effects, we consider the influence of the…

高能物理 - 理论 · 物理学 2009-11-10 A. L. Cavalcanti de Oliveira , E. R. Bezerra de Mello

I investigate the Poisson-sigma model on the classical and quantum level. First I show how the interaction can be obtained by a deformation of the classical master equation of an Abelian BF theory in two dimensions. On the classical level…

高能物理 - 理论 · 物理学 2007-05-23 Thomas Schwarzweller

We identify a non-local symmetry for Yang-Mills theories in 1+1 and 2+1 spacetime dimensions. The symmetry mixes a vector current with the gauge field. The current involved in the symmetry is required to satisfy certain constraints. The…

高能物理 - 理论 · 物理学 2015-06-03 Abhishek Agarwal , Ansar Fayyazuddin

Using a Dyson--Schwinger approach, we perform an analysis of the non-trivial ground state of thermal $SU(N)$ Yang--Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic…

高能物理 - 唯象学 · 物理学 2025-04-03 Marco Frasca , Anish Ghoshal , Stefan Groote

The study of Yang-Mills theories in three dimensions is an insightful playground to grasp important features for the four-dimensional case. Additionally, in three dimensions, the Chern-Simons term can be introduced with a mass parameter of…

高能物理 - 理论 · 物理学 2020-07-01 Luigi C. Ferreira , Antonio D. Pereira , Rodrigo F. Sobreiro

Several years ago, it was proposed that the usual solutions of the Yang-Baxter equation associated to Lie groups can be deduced in a systematic way from four-dimensional gauge theory. In the present paper, we extend this picture, fill in…

高能物理 - 理论 · 物理学 2019-04-23 Kevin Costello , Edward Witten , Masahito Yamazaki

The dynamics of charged particle beams interacting with laser beams and material targets in storage rings is presented. Formulas for the radiative damping, quantum excitation and equilibrium parameters of ion and electron beams determined…

经典物理 · 物理学 2007-05-23 E. G. Bessonov

We study the dynamics of a `composite' or `dressed' quark in strongly-coupled large-N_c N=4 super-Yang-Mills, making use of the AdS/CFT correspondence. We show that the standard string dynamics nicely captures the physics of the quark and…

高能物理 - 理论 · 物理学 2014-11-20 Mariano Chernicoff , J. Antonio Garcia , Alberto Guijosa

The purpose of this work is to present a Non--Commutative Geometrical version of the Yang--Mills Theory and the Yang--Mills Scalar Matter Theory by constructing a concrete example using M. Durdevich's theory of quantum principal bundles.

数学物理 · 物理学 2021-12-02 Gustavo Amilcar Saldaña Moncada

The infrared properties of the high-temperature limit of Landau-gauge Yang-Mills theory are investigated. In a first step the high-temperature limit of the Dyson-Schwinger equations is taken. The resulting equations are identical to the…

高能物理 - 唯象学 · 物理学 2014-11-17 Axel Maas , Jochen Wambach , Burghard Gruter , Reinhard Alkofer

The classical Yang-Mills radiation computed in the McLerran-Venugopalan model is shown to be equivalent to the gluon bremsstrahlung distribution to lowest order in pQCD. The classical distribution is also shown to match smoothly onto the…

核理论 · 物理学 2008-11-26 Miklos Gyulassy , Larry McLerran