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We study four-dimensional adjoint QCD with gauge group SU(2) and two Weyl fermion flavors, which has an $SU(2)_R$ chiral symmetry. The infrared behavior of this theory is not firmly established. We explore candidate infrared phases by…

高能物理 - 理论 · 物理学 2024-05-29 Clay Cordova , Thomas T. Dumitrescu

This paper discusses the relationships between gauge theories defined by gauge groups with finite trivially-acting centers, and theories with restrictions on nonperturbative sectors, in two and four dimensions. In two dimensions, these…

高能物理 - 理论 · 物理学 2014-07-30 E. Sharpe

It is shown that the formulation of the SU(3) Yang-Mills quantum Hamiltonian in the "flux-tube gauge" $A_{a1}=0$ for all a=1,2,4,5,6,7 and $A_{a2}=0$ for all a=5,7 allows for a systematic and practical strong coupling expansion of the…

高能物理 - 理论 · 物理学 2021-12-15 Hans-Peter Pavel

We have presented non-Abelian dual superconductivity picture in the SU(3) Yang-Mills(YM) theory, and shown evidences such as the restricted U(2)-field dominance and the non-Abelian magnetic monopole dominance in the string tension. To…

高能物理 - 格点 · 物理学 2012-12-13 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

Infrared equations and dual conformal constraints arise as consistency conditions on loop amplitudes in N=4 super Yang-Mills theory. These conditions are linear relations between leading singularities, which can be computed in the…

高能物理 - 理论 · 物理学 2014-11-20 Johannes Broedel , Song He

In this paper I study Wilson line operators in a certain type of split Chern-Simons theory on a manifold with boundaries. The resulting gauge theory is a 3d topological BF theory equivalent to a topologically twisted 3d $\mathcal N=4$…

高能物理 - 理论 · 物理学 2023-09-28 Nanna Havn Aamand

In the large-$N$ and strong-coupling limit, maximally supersymmetric SU($N$) Yang--Mills theory in $(2 + 1)$ dimensions is conjectured to be dual to the decoupling limit of a stack of $N$ D$2$-branes, which may be described by IIA…

高能物理 - 理论 · 物理学 2020-11-11 Simon Catterall , Joel Giedt , Raghav G. Jha , David Schaich , Toby Wiseman

Generalized Yang-Mills theory has a covariant derivative which contains both vector and scalar gauge bosons. Based on this theory, we construct an SU(3) unified model of weak and electromagnetic interactions. By using the NJL mechanism, the…

综合物理 · 物理学 2018-11-27 Si-Zhao Huang , Xiao Liang , Dian-Fu Wang

We consider the ``metric-affine-like'' generalization of the Yang-Mills theory (mal-YM) which we first proposed earlier. In this model, the connection is no longer assumed to be compatible with the Hermitian form in the fibers. As a…

高能物理 - 理论 · 物理学 2026-05-14 Władysław Wachowski

Chern-Simons theory with certain gauge groups is known to be equivalent to a first-order formulation of three-dimensional Einstein gravity with a cosmological constant, where both are purely topological. Here, we extend this correspondence…

高能物理 - 理论 · 物理学 2025-01-07 Leron Borsten , Dimitri Kanakaris , Hyungrok Kim

In order to have a new perspective on the long-standing problem of the mass gap in Yang-Mills theory, we study the quantum Yang-Mills theory in the presence of topologically nontrivial backgrounds in this paper. The topologically stable…

高能物理 - 理论 · 物理学 2021-07-02 Yachao Qian , Jun Nian

In this paper we will analyse a three dimensional super-Yang-Mills theory on a deformed superspace with boundaries. We show that it is possible to obtain an undeformed theory on the boundary if the bulk superspace is deformed by imposing a…

高能物理 - 理论 · 物理学 2015-06-11 Mir Faizal

We revisit the duality between five-dimensional supersymmetric gauge theories and deformations of two-dimensional Yang-Mills theory from a new perspective. We give a unified treatment of supersymmetric gauge theories in three and five…

高能物理 - 理论 · 物理学 2020-06-11 Leonardo Santilli , Richard J. Szabo , Miguel Tierz

We present a lattice formulation of noncommutative Yang-Mills theory in arbitrary even dimensionality. The UV/IR mixing characteristic of noncommutative field theories is demonstrated at a completely nonperturbative level. We prove a…

高能物理 - 理论 · 物理学 2009-10-31 J. Ambjorn , Y. M. Makeenko , J. Nishimura , R. J. Szabo

We compare gap equation predictions for the spontaneous breaking of global symmetries in supersymmetric Yang-Mills theory to nonperturbative results from holomorphic effective action techniques. In the theory without matter fields, both…

高能物理 - 理论 · 物理学 2009-10-30 Thomas Appelquist , Andreas Nyffeler , Stephen B. Selipsky

We show how the fields and particles of the standard model can be naturally realized in noncommutative gauge theory. Starting with a Yang-Mills matrix model in more than 4 dimensions, a SU(n) gauge theory on a Moyal-Weyl space arises with…

高能物理 - 理论 · 物理学 2010-05-12 Harald Grosse , Fedele Lizzi , Harold Steinacker

We consider a dimensional reduction of 3+1 dimensional SU(N) Yang-Mills theory coupled to adjoint fermions to obtain a class of 1+1 dimensional matrix field theories. We derive the quantized light-cone Hamiltonian in the light-cone gauge…

高能物理 - 理论 · 物理学 2014-11-18 F. Antonuccio , S. Pinsky

We present the quantum Yang-Mills theory in the four-dimensional de Sitter ambient space formalism. In accordance with the SU$(3)$ gauge symmetry the interaction Lagrangian is formulated in terms of interacting color charged fields in…

高能物理 - 理论 · 物理学 2022-08-18 M. V. Takook , J. P. Gazeau

We construct the 4-dimensional ${\cal N}=\frac12$ and ${\cal N}=1$ inhomogeneously mass-deformed super Yang-Mills theories from the ${\cal N} =1^*$ and ${\cal N} =2^*$ theories, respectively, and analyse their supersymmetric vacua. The…

高能物理 - 理论 · 物理学 2020-12-30 Yoonbai Kim , O-Kab Kwon , D. D. Tolla

In earlier work we proposed a string theory dual to two dimensional Yang-Mills theory at zero coupling (which can also be thought of as a $BF$ theory), given by a Polyakov-like generalization of Ho\v rava's topological rigid string theory,…

高能物理 - 理论 · 物理学 2025-10-28 Ofer Aharony , Suman Kundu , Tal Sheaffer