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We consider certain vacua of four-dimensional SU(N) gauge theory with the same field content as the N=4 supersymmetric Yang-Mills theory, resulting from potentials which break the N=4 supersymmetry as well as its global SO(6) symmetry down…

高能物理 - 理论 · 物理学 2015-05-14 Athanasios Chatzistavrakidis , Harold Steinacker , George Zoupanos

We construct ${\cal N}=2$ supersymmetric low-energy effective action of $5D, {\cal N}=2$ supersymmetric Yang-Mills theory in $5D, {\cal N}=1$ harmonic superspace. It is obtained as a hypermultiplet completion of the leading $W \ln W$-term…

高能物理 - 理论 · 物理学 2019-02-20 I. L. Buchbinder , E. A. Ivanov , I. B. Samsonov

Starting with a N=4 supersymmetric Yang-Mills theory in four dimensions with gauge group SU(3N) we perform an orbifold projection leading to a N=1 supersymmetric SU(N)^3 Yang-Mills theory with matter supermultiplets in bifundamental…

高能物理 - 理论 · 物理学 2010-08-25 Athanasios Chatzistavrakidis , Harold Steinacker , George Zoupanos

We consider the compactification of a Yang-Mills theory on a three-dimensional nilmanifold. The compactification generates a Yang-Mills theory in four space-time dimensions, coupled to a specific scalar sector. The compactification geometry…

高能物理 - 唯象学 · 物理学 2022-04-20 Aldo Deandrea , Fabio Dogliotti , Dimitrios Tsimpis

We consider the Abelian Yang-Mills-Higgs functional, in the non-self dual scaling, on a complex line bundle over a closed Riemannian manifold of dimension $n\geq 3$. This functional is the natural generalisation of the Ginzburg-Landau model…

偏微分方程分析 · 数学 2023-05-23 Giacomo Canevari , Federico Luigi Dipasquale , Giandomenico Orlandi

We have proposed the non-Abelian dual superconductivity picture for quark confinement in the SU(3) Yang-Mills (YM) theory, and have given numerical evidences for the restricted-field dominance and the non-Abelian magnetic monopole dominance…

高能物理 - 格点 · 物理学 2013-02-28 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

The $N=4$ supersymmetric self-dual Yang-Mills theory in a four- dimensional space with signature $(2,2)$ is formulated in harmonic superspace. The on-shell constraints of the theory are reformulated in the equivalent form of vanishing…

高能物理 - 理论 · 物理学 2009-10-28 E. Sokatchev

We consider Yang-Mills theory with a compact structure group $G$ on a Lorentzian 4-manifold $M={\mathbb R}\times\Sigma$ such that gauge transformations become identity on a submanifold $S$ of $\Sigma$ (framing over $S\subset\Sigma$). The…

高能物理 - 理论 · 物理学 2023-10-16 Alexander D. Popov

We have pointed out that the $SU(3)$ Yang-Mills theory has a new way of reformulation using new field variables (minimal option), in addition to the conventional option adopted by Cho, Faddeev and Niemi (maximal option). The reformulation…

高能物理 - 格点 · 物理学 2015-12-14 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We investigate the perturbative expansion in $SU(3)$ Yang-Mills theory compactified on $\mathbb{R}^2\times \mathbb{T}^2$ where the compact space is a torus $\mathbb{T}^2= S^1_{\beta}\times S^1_{L}$, with $S^1_{\beta}$ being a thermal circle…

高能物理 - 理论 · 物理学 2017-03-01 Eduardo S. Fraga , Daniel Kroff , Jorge Noronha

We consider Euclidean SU(N) Yang-Mills theory on the space GxR, where G is a compact semisimple Lie group, and introduce first-order BPS-type equations which imply the full Yang-Mills equations. For gauge fields invariant under the adjoint…

高能物理 - 理论 · 物理学 2008-12-18 Tatiana A. Ivanova , Olaf Lechtenfeld

The (1+1)-dimensional SU}(N) Yang-Mills Lagrangian, with bare mass M, and gauge coupling e, naively describes gluons of mass M. In fact, renormalization forces M to infinity. The system is in a confined phase, instead of a Higgs phase. The…

高能物理 - 理论 · 物理学 2015-06-18 Axel Cortes Cubero , Peter Orland

The quantum Yang-Mills theory, describing a system of fields with non-dual (chromo-electric g) and dual (chromo-magnetic \tilde g) charges and revealing the generalized dual symmetry, is developed by analogy with the Zwanziger formalism in…

高能物理 - 唯象学 · 物理学 2010-05-27 C. R. Das , L. V. Laperashvili , H. B. Nielsen

Quantum Yang-Mills theory and the Wilson loop can be rewritten identically in terms of local gauge-invariant variables being directly related to the metric of the dual space. In this formulation, one reveals a hidden high local symmetry of…

高能物理 - 理论 · 物理学 2017-08-23 Dmitri Diakonov

We review the generalization of the work of Seiberg and Witten on N=2 supersymmetric SU(2) Yang-Mills theory to SU(n) gauge groups. The quantum moduli spaces of the effective low energy theory parametrize a special family of hyperelliptic…

高能物理 - 理论 · 物理学 2007-05-23 A. Klemm , W. Lerche , S. Theisen , S. Yankielowicz

Motivated by some recent progress involving a non-compact gauge group, we obtain classical gauge fields using non-compact foliations of anti-de Sitter space in 4 dimensions (required dimensionality for conformal invariance of Yang-Mills…

高能物理 - 理论 · 物理学 2023-10-03 Kaushlendra Kumar

The well-known Yang-Mills theory with one $ S^{1} / Z_{2}$ universal extra dimension (UED) is generalized to an arbitrary number of spatial extra dimensions through a novel compactification scheme. In this paper, the Riemannian flat based…

高能物理 - 理论 · 物理学 2015-02-04 M. A. López-Osorio , E. Martínez-Pascual , H. Novales-Sánchez , J. J. Toscano

Firstly, we consider Yang-Mills theory on ${\mathbb R}^{3,1}$ with an adjoint Higgs field spontaneously breaking a compact gauge group $G$ to a subgroup $H$, so that the Higgs vacuum manifold forms the coset $G/H$. It is shown that in the…

高能物理 - 理论 · 物理学 2019-07-24 Olaf Lechtenfeld , Alexander D. Popov

We construct the n-instanton action for the above model with gauge group SU(2), as a function of the collective coordinates of the general self-dual configurations of Atiyah, Drinfeld, Hitchin and Manin (ADHM). We calculate the quantum…

高能物理 - 理论 · 物理学 2009-10-30 N. Dorey , V. V. Khoze , M. P. Mattis

We investigate the large Nc limit of pure N=2 supersymmetric gauge theory with gauge group SU(Nc) by using the exact low energy effective action. Typical one-complex dimensional sections of the moduli space parametrized by a global complex…

高能物理 - 理论 · 物理学 2009-11-07 Frank Ferrari