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We revisit the construction of topological Yang-Mills theories of the Witten type with arbitrary space-time dimension and number of ``shift supersymmetry'' generators, using a superspace formalism. The super-BF structure of these theories…

高能物理 - 理论 · 物理学 2009-11-10 Clisthenis P. Constantinidis , Olivier Piguet , Wesley Spalenza

One of the main open problems of mathematical physics is to consistently quantize Yang-Mills gauge theory. If such a consistent quantization were to exist, it is reasonable to expect a ``Wightman reconstruction theorem,'' by which a Hilbert…

数学物理 · 物理学 2007-05-23 William Gordon Ritter

We reinterpret the Faddeev-Popov gauge-fixing procedure of Yang-Mills theories as the definition of a topological quantum field theory for gauge group elements depending on a background connection. This has the advantage of relating…

高能物理 - 理论 · 物理学 2008-11-26 Laurent Baulieu , Martin Schaden

A gauge field model, which simultaneously has strict local gauge symmetry and massive gauge bosons, is discussed in this paper. The model has SU(N) gauge symmetry. In the limit $\alpha \longrightarrow 0$, the gauge field model discussed in…

高能物理 - 唯象学 · 物理学 2007-05-23 Ning Wu

It is shown that classical nonsupersymmetric Yang-Mills theory in 4 dimensions is symmetric under a generalized dual transform which reduces to the usual dual *-operation for electromagnetism. The parallel phase transport $\tilde{A}_\mu(x)$…

高能物理 - 理论 · 物理学 2009-10-28 Chan Hong-Mo , J. Faridani , Tsou Sheung Tsun

A gauge-invariant field is found which describes physical configurations, i.e. gauge orbits, of non-Abelian gauge theories. This is accomplished with non-Abelian generalizations of the Poincare'-Hodge formula for one-forms. In a particular…

高能物理 - 理论 · 物理学 2009-11-10 Peter Orland

We present some classical properties for non-abelian Yang-Mills theories that we extract directly from the Maxwell's equations of the theory. We write the equations of motion for the SU(3) Yang-Mills theory using the language of Maxwell's…

高能物理 - 唯象学 · 物理学 2011-03-28 J. A. Sanchez-Monroy , C. Quimbay

We consider a diffeomorphism invariant theory of a gauge field valued in a Lie algebra that breaks spontaneously to the direct sum of the spacetime Lorentz algebra, a Yang-Mills algebra, and their complement. Beginning with a fully gauge…

广义相对论与量子宇宙学 · 物理学 2015-03-17 A. Garrett Lisi , Lee Smolin , Simone Speziale

We construct twisted noncommutative gauge theories on twistor space and show that they are equivalent to four-dimensional twist-noncommutative gauge theories. In particular, we study twists of the Poincar\'e algebra. We explain how such a…

高能物理 - 理论 · 物理学 2026-01-29 Tim Meier , Eggon Viana

We generalize classical Yang-Mills theory by extending nonlinear constitutive equations for Maxwell fields to non-Abelian gauge groups. Such theories may or may not be Lagrangian. We obtain conditions on the constitutive equations…

高能物理 - 理论 · 物理学 2011-07-19 Gerald A. Goldin , Vladimir Shtelen

We study the 3-form gauge theory in the context of generalized BRST formulation. We construct the finite field-dependent BRST (FFBRST) symmetry for such a theory. The generating functional for 3-form gauge theory in noncovariant gauge is…

高能物理 - 理论 · 物理学 2013-04-09 Sudhaker Upadhyay , Manoj Kumar Dwivedi , Bhabani Prasad Mandal

We review the basic elements of the geometrical formalism for description of gauge fields and the theory of invariant connections, and their applications to the coset space dimensional reduction of Yang-Mills theories. We also discuss the…

数学物理 · 物理学 2007-05-23 Yuri A. Kubyshin

A Hamiltonian analysis of Yang-Mills (YM) theory in (2+1) dimensions with a level $k$ Chern-Simons term is carried out using a gauge invariant matrix parametrization of the potentials. The gauge boson states are constructed and the…

高能物理 - 理论 · 物理学 2015-06-26 Dimitra Karabali , Chanju Kim , V. P. Nair

The Sp(2)-gauge fixing of N = 1 super-Yang-Mills theory is considered here. We thereby apply the triplectic scheme, where two classes of gauge-fixing bosons are introduced. The first one depends only on the gauge field, whereas the second…

高能物理 - 理论 · 物理学 2009-11-07 C. N. Ferreira , C. F. L. Godinho

We present a local setup for the recently introduced BRST-invariant formulation of Yang-Mills theories for linear covariant gauges that takes into account the existence of gauge copies \`a la Gribov and Zwanziger. Through the convenient use…

We exploit the geometrical superfield formalism to derive the local, covariant and continuous Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations and the non-local, non-covariant and continuous dual-BRST symmetry transformations for…

高能物理 - 理论 · 物理学 2008-11-26 R. P. Malik

We extend previous work by developing a worldsheet description of non-abelian gauge theory (Yang-Mills). This task requires the introduction of Grassmann variables on the world sheet analogous to those of the Neveu-Schwarz-Ramond…

高能物理 - 理论 · 物理学 2009-05-08 Charles B. Thorn

We consider a N=2 supersymmetric Yang-Mills-Chern-Simons model, coupled to matter, in the Wess-Zumino gauge. The theory is characterized by a superalgebra which displays two kinds of obstructions to the closure on the translations: field…

高能物理 - 理论 · 物理学 2008-02-03 Nicola Maggiore , Olivier Piguet , Mathieu Ribordy

We present a proof that quantum Yang-Mills theory can be consistently defined as a renormalized, perturbative quantum field theory on an arbitrary globally hyperbolic curved, Lorentzian spacetime. To this end, we construct the…

广义相对论与量子宇宙学 · 物理学 2018-03-15 Stefan Hollands

The world-volume theory on a D-brane in a constant B-field background can be described by either commutative or noncommutative Yang-Mills theories. These two descriptions correspond to two different gauge fixing of the diffeomorphism on the…

高能物理 - 理论 · 物理学 2009-10-31 Kazumi Okuyama
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