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We show how a generic gauge field theory described by a BRST differential can systematically be reformulated as a first order parent system whose spacetime part is determined by the de Rham differential. In the spirit of Vasiliev's unfolded…

High Energy Physics - Theory · Physics 2011-02-01 Glenn Barnich , Maxim Grigoriev

In this article, we reconsider the formulation of Yangian symmetry for planar N=4 supersymmetric Yang-Mills theory, and we investigate to what extent this symmetry lifts to the beta/gamma-deformation of the model. We first apply cohomology…

High Energy Physics - Theory · Physics 2024-11-26 Niklas Beisert , Benedikt König

We apply the BV formalism to non-commutative field theories, introduce BRST symmetry, and gauge-fix the models. Interestingly, we find that treating the full gauge symmetry in non-commutative models can lead to reducible gauge algebras. As…

High Energy Physics - Theory · Physics 2014-11-20 Klaus Bering , Harald Grosse

An equivariantly gauge-fixed non-abelian gauge theory is a theory in which a coset of the gauge group, not containing the maximal abelian subgroup, is gauge fixed. Such theories are non-perturbatively well-defined. In a finite volume, the…

High Energy Physics - Lattice · Physics 2013-03-14 Maarten Golterman , Yigal Shamir

The entire geometric formulations of the BRST and the anti-BRST structures are worked out in presence of the Nakanishi-Lautrup field. It is shown that in the general form of gauge fixing mechanisms within the Faddeev-Popov quantization…

High Energy Physics - Theory · Physics 2020-12-18 Amir Abbass Varshovi

We translate between different formulations of Yangian invariants relevant for the computation of tree-level scattering amplitudes in N=4 super-Yang--Mills theory. While the R-operator formulation allows to relate scattering amplitudes to…

High Energy Physics - Theory · Physics 2014-08-27 Johannes Broedel , Marius de Leeuw , Matteo Rosso

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…

High Energy Physics - Theory · Physics 2013-04-09 Sudhaker Upadhyay , Manoj Kumar Dwivedi , Bhabani Prasad Mandal

A supersymmetric gauge invariant action is constructed over any 4-dimensional Riemannian manifold describing Witten's theory of 4-monopoles. The topological supersymmetric algebra closes off-shell. The multiplets include the auxiliary…

High Energy Physics - Theory · Physics 2009-10-30 R. Gianvittorio , I. Martin , A. Restuccia

A non-gauge dynamical system depending on parameters is considered. It is shown that these parameters can have such values that corresponding canonically quantized theory will be gauge invariant. The equations allowing to find these values…

High Energy Physics - Theory · Physics 2009-10-28 I. L. Buchbinder , V. D. Pershin , G. B. Toder

Most of the known models describing the fundamental interactions have a gauge freedom. In the standard path integral, it is necessary to "fix the gauge" in order to avoid integrating over unphysical degrees of freedom. Gauge independence…

High Energy Physics - Theory · Physics 2007-05-23 Andrea Fuster , Marc Henneaux , Axel Maas

A new fomulation of the Yang-Mills theory which allows to avoid the problem of Gribov ambiguity of the gauge fixing is proposed.

High Energy Physics - Theory · Physics 2014-11-18 A. A. Slavnov

We extend the general framework of perturbative quantum field theory developped for the pure Yang-Mills model to gravity. First we present a variant of the elimination procedure of the anomalies in the second order of perturbation theory.…

High Energy Physics - Theory · Physics 2022-09-13 Dan-Radu Grigore

We present an off-shell formulation of matter-Yang-Mills system coupled to supergravity in five dimensional space-time. We give an invariant action for the general system of vector multiplets and hypermultiplets coupled to supergravity as…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Kugo , K. Ohashi

We discuss a general approach to the nonperturbative treatment of quantum field theories based on existence of effective gauge theory on auxiliary ''spectral" Riemann curve. We propose an effective formulation for the exact solutions to…

High Energy Physics - Theory · Physics 2009-10-28 A. Gorsky , A. Marshakov

Using the Non-Abelian Batalin-Vilkovisky formalism introduced recently, we present a generalization of the Yang-Mills gauge transformations , to include antisymmetric tensor fields as gauge bosons. The Freedman-Townsend transformation for…

High Energy Physics - Theory · Physics 2007-05-23 Jorge Alfaro

We construct d<=7 dimensional maximally supersymmetric Yang-Mills theories on a class of curved backgrounds with off-shell supercharges. The off-shell supersymmetry is mainly a generalization of on-shell supersymmetry constructed previously…

High Energy Physics - Theory · Physics 2015-06-11 Masashi Fujitsuka , Masazumi Honda , Yutaka Yoshida

We review some ideas on the relationship between massless superparticles and the division algebras to provide a new perspective on ambitwsitor string theories. The key concern is the critical theory. We show that this theory has a reducible…

High Energy Physics - Theory · Physics 2018-09-17 N. Carabine , R. A. Reid-Edwards

A manifestly gauge invariant exact renormalization group for pure SU(N) Yang-Mills theory is proposed, along with the necessary gauge invariant regularisation which implements the effective cutoff. The latter is naturally incorporated by…

High Energy Physics - Theory · Physics 2007-05-23 Stefano Arnone , Antonio Gatti , Tim R. Morris

We consider the gauge invariance of the standard Yang-Mills model in the framework of the causal approach of Epstein-Glaser and Scharf and determine the generic form of the anomalies. The method used is based Epstein-Glaser approach to…

High Energy Physics - Theory · Physics 2007-05-23 Dan Radu Grigore

We describe a general procedure to construct the independent and complete operator bases for generic Lorentz invariant effective field theories, given any kind of gauge symmetry and field content, up to any mass dimension. By considering…

High Energy Physics - Phenomenology · Physics 2022-05-11 Hao-Lin Li , Zhe Ren , Ming-Lei Xiao , Jiang-Hao Yu , Yu-Hui Zheng
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