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A gauge invariant infrared regularization of the Yang-Mills theory applicable beyond perturbation theory is constructed.

高能物理 - 理论 · 物理学 2015-06-12 A. A. Slavnov

Mass deformations of supersymmetric Yang-Mills theories in three spacetime dimensions are considered. The gluons of the theories are made massive by the inclusion of a non-local gauge and Poincare invariant mass term due to Alexanian and…

高能物理 - 理论 · 物理学 2009-02-16 Abhishek Agarwal

Self-duality equations for Yang-Mills fields in d-dimensional Euclidean spaces consist of linear algebraic relations amongst the components of the curvature tensor which imply the Yang-Mills equations. For the extension to superspace gauge…

高能物理 - 理论 · 物理学 2009-11-07 Chandrashekar Devchand , Jean Nuyts

We uplift 5-dimensional super-Yang-Mills theory to a 6-dimensional gauge theory with the help of a space-like constant vector $\eta^M$, whose norm determines the Yang-Mills coupling constant. After the localization of $\eta^M$ the 6D gauge…

高能物理 - 理论 · 物理学 2015-05-28 Harvendra Singh

The non commutative geometry is a possible framework to regularize Quantum Field Theory in a nonperturbative way. This idea is an extension of the lattice approximation by non commutativity that allows to preserve symmetries. The…

高能物理 - 理论 · 物理学 2009-10-31 Koumarane Valavane

We determine the off-shell N=1 supersymmetry transformation rules for a tensor-Yang-Mills system in which the tensor field transforms in a nontrivial representation of the Yang-Mills group, and there is an additional vector multiplet in the…

高能物理 - 理论 · 物理学 2015-06-12 Ergin Sezgin , Linus Wulff

Supersymmetric pure Yang-Mills theory is formulated with a local, i.e. space-time dependent, complex coupling in superspace. Super-Yang-Mills theories with local coupling have an anomaly, which has been first investigated in the Wess-Zumino…

高能物理 - 理论 · 物理学 2010-04-05 E. Kraus , C. Rupp , K. Sibold

The vector supersymmetry of the 2D topological BF model is extended to 2D Yang-Mills. The consequences of the corresponding Ward identity on the ultraviolet behavior of the theory are analyzed.

高能物理 - 理论 · 物理学 2008-11-26 J. L. Boldo , C. A. G. Sasaki , S. P. Sorella , L. C. Q. Vilar

Discretization of supersymmetric theories is an old problem in lattice field theory. It has resisted solution until quite recently when new ideas drawn from orbifold constructions and topological field theory have been brought to bear on…

高能物理 - 格点 · 物理学 2010-06-07 Simon Catterall

In the present paper it is shown that the Yang-Mills equation can be represented as the equation of the non-linear electromagnetic waves superposition. The research of the topological characteristics of this representation allows us to…

高能物理 - 理论 · 物理学 2007-05-23 Alexander G. Kyriakos

We reconsider the algebraic BRS renormalization of Witten's topological Yang-Mills field theory by making use of a vector supersymmetry Ward identity which improves the finiteness properties of the model. The vector supersymmetric structure…

高能物理 - 理论 · 物理学 2009-10-28 A. Brandhuber , O. Moritsch , M. W. de Oliveira , O. Piguet , M. Schweda

We consider a supersymmetric matrix quantum mechanics. This is obtained by adding Myers and mass terms to the dimensional reduction of 4d N=1 super Yang-Mills theory to one dimension. Using this model we construct 4d N=1 super Yang-Mills…

高能物理 - 理论 · 物理学 2013-05-29 Masanori Hanada , Lorenzo Mannelli , Yoshinori Matsuo

We give a gauge-covariant formulation of seven-dimensional super-Yang-Mills theory in terms of N=1 superfields. Furthermore, we show that five and seven dimensions are the only cases where such a formulation exists by analysing the…

高能物理 - 理论 · 物理学 2011-02-03 Christoph Lüdeling

We introduce the supersymmetric version of YM-like theories with infinitely many spin fields in 4 dimension. The construction is carried out via the superfield method. The surprising feature of these models is that they describe in…

高能物理 - 理论 · 物理学 2020-12-18 Loriano Bonora , Stefano Giaccari

We study the transformation law of quantum fields in super Yang-Mills theory quantized in the Wess-Zumino gauge. It can be derived from a local version of generalized Slavnov-Taylor identities for general Green functions. Under suitable…

高能物理 - 理论 · 物理学 2009-11-07 Christian Rupp , Klaus Sibold

Non-supersymmetric Yang-Mill gauge theory in 4-dimension is shown to be dual to 4-dimensional non-supersymmetric string theory in a twisted AdS2(n)xT2 spacetime background. The partition function of a generic hadron is calculated to…

高能物理 - 理论 · 物理学 2007-05-23 Alfred Tang

We formulate a Yang-Mills action principle for noncommutative connections on an endomorphism algebra of a vector bundle. It is shown that there is an influence of the topology of the vector bundle onto the structure of the vacuums of the…

数学物理 · 物理学 2016-08-16 Emmanuel Sérié

It is shown that the $SU(2)$ Yang-Mills theory in $3$-dimensional Riemann-Cartan space-time can be completely reformulated as a gravity-like theory in terms of gauge invariant variables. The resulting Yang-Mills induced equations are found,…

高能物理 - 理论 · 物理学 2016-08-16 V. Radovanović , Dj. Šijački

We construct the order alpha'^3 terms in the supersymmetric Yang-Mills action in ten dimensions for an arbitrary gauge group. The result can be expressed in terms of the structure constants of the Yang-Mills group, and is therefore…

高能物理 - 理论 · 物理学 2009-11-07 A. Collinucci , M. de Roo , M. G. C. Eenink

Using topological Yang-Mills theory as example, we discuss the definition and determination of observables in topological field theories (of Witten-type) within the superspace formulation proposed by Horne. This approach to the equivariant…