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By comparision with numerical results in the maximal Abelian projection of lattice Yang-Mills theory, it is argued that the nonperturbative dynamics of Yang Mills theory can be described by a set of fields that take their values in the…

高能物理 - 理论 · 物理学 2009-10-31 Sergei V. Shabanov

We consider $1+1$ dimensional Yang-Mills theory with gauge group $G$ coupled to a massive Majorana fermion field in an adjoint representation and a number of massless Dirac or Majorana fermions transforming in arbitrary representations of…

高能物理 - 理论 · 物理学 2022-04-20 Fedor K. Popov

Motivated by Abelian dominance, we suppose that the field strength tensor in the low energy limit of the SU(2) Yang-Mills theory is $ G_{\mu\nu}=G_{\mu\nu} n $, where $ G_{\mu\nu} $ is a space-time tensor and $ n $ is a unit vector field…

高能物理 - 理论 · 物理学 2013-01-11 S. Deldar , A. Mohamadnejad

SU(N_c) Yang-Mills theory is investigated at finite densities of N_f heavy quark flavors. The calculation of the (continuum) quark determinant in the large-mass limit is performed by analytic methods and results in an effective gluonic…

高能物理 - 格点 · 物理学 2009-10-31 Kurt Langfeld , Gwansoo Shin

We study two-dimensional N=(2,2) SU(N) super Yang-Mills theory on Euclidean two-torus using Sugino's lattice regularization. We perform the Monte-Carlo simulation for N=2,3,4,5 and then extrapolate the result to N = infinity. With the…

高能物理 - 格点 · 物理学 2009-10-20 Masanori Hanada , Issaku Kanamori

We propose a new description of the SU(N) Yang-Mills theory on a lattice, which enables one to explain quark confinement based on the dual superconductivity picture in a gauge independent way. This is because we can define gauge-invariant…

高能物理 - 格点 · 物理学 2010-01-21 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Shoichi Ito , Toru Shinohara , Takeharu Murakami

We consider the spherically symmetric SU(2) Yang-Mills Fields on the Schwarzschild metric. Within the so called purely magnetic Ansatz we show that there exists a countable number of stationary solutions which are all nonlinearly unstable.

偏微分方程分析 · 数学 2016-12-21 Dietrich Häfner , Cécile Huneau

There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang-Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in early-universe cosmology for stabilizing the symmetric…

高能物理 - 理论 · 物理学 2021-10-29 Kaushlendra Kumar , Olaf Lechtenfeld , Gabriel Picanço Costa

We review the present status of the Anderson transition in the spectrum of the Dirac operator of QCD-like theories on the lattice. Localized modes at the low-end of the spectrum have been found in SU(2) Yang-Mills theory with overlap and…

高能物理 - 格点 · 物理学 2015-06-22 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

The Seiberg-Witten limit of fermionic N=2 string theory with nonvanishing B-field is governed by noncommutative self-dual Yang-Mills theory (ncSDYM) in 2+2 dimensions. Conversely, the self-duality equations are contained in the equation of…

高能物理 - 理论 · 物理学 2009-11-07 Matthias Ihl , Sebastian Uhlmann

We propose a new version of SU(N) Yang-Mills theory reformulated in terms of new field variables which are obtained by a nonlinear change of variables from the original Yang-Mills gauge field. The reformulated Yang-Mills theory enables us…

高能物理 - 理论 · 物理学 2008-11-26 Kei-Ichi Kondo , Toru Shinohara , Takeharu Murakami

The unconstrained system equivalent to SU(2) Yang-Mills field theory is obtained in the framework of the generalized Hamiltonian formalism using the method of Hamiltonian reduction. The reduced system is expressed in terms of fields which…

高能物理 - 理论 · 物理学 2007-05-23 A. M. Khvedelidze , H. -P. Pavel

We consider a spherically symmetric (magnetic) $SU(2)$ Yang-Mills field propagating on the exterior of the extremal Reissner-Nordstr\"om black hole. Taking advantage of the conformal symmetry, we reduce the problem to the study of the…

广义相对论与量子宇宙学 · 物理学 2016-12-07 Piotr Bizoń , Michał Kahl

The method of reduction of a non-Abelian gauge theory to the corresponding unconstrained system is exemplified for SU(2) Yang-Mills field theory. The reduced Hamiltonian which describes the dynamics of the gauge invariant variables is…

高能物理 - 理论 · 物理学 2007-05-23 A. M. Khvedelidze , H. -P. Pavel

We investigate the gauge interaction induced by heavy fermions using both dimensional and lattice regularization. We study the condition under which heavy fermions induce a continuum gauge theory.

高能物理 - 格点 · 物理学 2009-10-22 Anna Hasenfratz

Cosmological solutions with a homogeneous Yang-Mills field which oscillates and passes between topologically distinct vacua are discussed. These solutions are used to model the collapsing Bartnik-McKinnon gravitational sphaleron and the…

高能物理 - 理论 · 物理学 2009-10-07 G. W. Gibbons , Alan R. Steif

We consider SU(2) Yang-Mills theory in 1+1 dimensions coupled to massless adjoint fermions. With all fields in the adjoint representation the gauge group is actually SU(2)/Z_2, which possesses nontrivial topology. In particular, there are…

高能物理 - 理论 · 物理学 2011-04-15 Stephen S. Pinsky , Richard Mohr

Semi-classical configurations in Yang-Mills theory have been derived from lattice Monte Carlo configurations using a recently proposed constrained cooling technique which is designed to preserve every Polyakov line (at any point in…

高能物理 - 格点 · 物理学 2015-05-20 Kurt Langfeld , Ernst-Michael Ilgenfritz

The infrared behaviour of the n-point functions of a Yang-Mills theory with a charged scalar field in the fundamental representation of SU(N) is studied in the formalism of Dyson-Schwinger equations. Assuming a stable skeleton expansion…

高能物理 - 理论 · 物理学 2010-02-09 Leonard Fister

We introduce field theory techniques through which the deconfinement transition of four-dimensional Yang-Mills theory can be moved to a semi-classical domain where it becomes calculable using two-dimensional field theory. We achieve this…

高能物理 - 理论 · 物理学 2013-05-30 Dusan Simic , Mithat Unsal