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It is shown that the problem of the recursive restoration of the Slavnov-Taylor (ST) identities at the quantum level for anomaly-free gauge theories is equivalent to the problem of parameterizing the local approximation to the quantum…

High Energy Physics - Theory · Physics 2009-11-10 Andrea Quadri

We study the all-order restoration of the Slavnov-Taylor (ST) identities for Yang-Mills theory with massive fermions in the presence of singlet axial-vector currents. By making use of the ST parameterization of the symmetric quantum…

High Energy Physics - Theory · Physics 2009-11-11 Andrea Quadri

We introduce an infrared regulator in Yang--Mills theories under the form of a mass term for the nonabelian fields. We show that the resulting action, built in a covariant linear gauge, is multiplicatively renormalizable by proving the…

High Energy Physics - Theory · Physics 2011-07-19 Alberto Blasi , Nicola Maggiore

We examine the renormalization of the first order formulation of Yang-Mills theory, by using the BRST idenities. These preserve the gauge invariance of the theory and enable a recursive proof of renormalizability to higher orders in…

High Energy Physics - Theory · Physics 2018-01-04 J Frenkel , J C Taylor

We study the BRST renormalization of an alternative formulation of the Yang-Mills theory, where the matrix-propagator of the gluon and the complementary fields is diagonal. This procedure involves scalings as well as non-linear mixings of…

High Energy Physics - Theory · Physics 2018-08-15 F T Brandt , J Frenkel , D G C McKeon

We prove the perturbative renormalisability of pure SU(2) Yang-Mills theory in the abelian gauge supplemented with mass terms. Whereas mass terms for the gauge fields charged under the diagonal U(1) allow to preserve the standard form of…

High Energy Physics - Theory · Physics 2009-11-07 U. Ellwanger , N. Wschebor

A long-standing conjecture on the structure of renormalized, gauge invariant, integrated operators of arbitrary dimension in Yang-Mills theory is established. The general solution of the consistency condition for anomalies with sources…

High Energy Physics - Theory · Physics 2009-10-22 G. Barnich , M. Henneaux

We perform a systematic one-loop renormalization of a general renormalizable Yang-Mills theory coupled to scalars and fermions using a regularization scheme with a smooth momentum cutoff $\Lambda$ (implemented through an exponential damping…

High Energy Physics - Phenomenology · Physics 2016-12-21 Piotr H. Chankowski , Adrian Lewandowski , Krzysztof A. Meissner

By using the exact renormalization group formulation we prove perturbatively the Slavnov-Taylor (ST) identities in SU(2) Yang-Mills theory. This results from two properties: {\it locality}, i.e. the ST identities are valid if their local…

High Energy Physics - Theory · Physics 2009-10-28 M. Bonini , M. D'Attanasio , G. Marchesini

Wilson's exact renormalization group equations are derived and integrated for the relevant part of the pure Yang-Mills action. We discuss in detail how modified Slavnov-Taylor identities controle the breaking of BRST invariance in the…

High Energy Physics - Theory · Physics 2007-05-23 U. Ellwanger , M. Hirsch , A. Weber

In this paper the stability and the renormalizability of Yang-Mills theory in the Background Field Gauge are studied. By means of Ward Identities of Background gauge invariance and Slavnov-Taylor Identities the stability of the classical…

High Energy Physics - Theory · Physics 2009-10-28 Pietro Antonio Grassi

Using the shadow dependent decoupled Slavnov-Taylor identities associated to gauge invariance and supersymmetry, we discuss the renormalization of the N=4 super-Yang-Mills theory and of its coupling to gauge-invariant operators. We specify…

High Energy Physics - Theory · Physics 2008-11-26 Laurent Baulieu , Guillaume Bossard

Using the background field method, we study in a general covariant gauge the renormalization of the 6-dimensional Yang-Mills theory. This requires background gauge invariant counterterms, some of which do not vanish on shell. Such…

High Energy Physics - Theory · Physics 2019-01-09 F. T. Brandt , J. Frenkel , D. G. C. McKeon

We study the algebraic renormalization of $N=2$ Supersymmetric Yang--Mills theories coupled to matter. A regularization procedure preserving both the BRS invariance and the supersymmetry is not known yet, therefore it is necessary to adopt…

High Energy Physics - Theory · Physics 2016-09-06 Nicola Maggiore

We show that pure Yang-Mills theories with Lorentz violation are renormalizable to all orders in perturbation theory. To do this, we employ the algebraic renormalization technique. Specifically, we control the breaking terms with a suitable…

High Energy Physics - Theory · Physics 2015-01-14 T. R. S. Santos , R. F. Sobreiro

In the present letter, a particular form of Slavnov-Taylor identities for the Curci-Ferrari model is deduced. This model consist of Yang-Mills theory in a particular non-linear covariant gauge, supplemented with mass terms for gluons and…

High Energy Physics - Theory · Physics 2010-10-27 Nicolas Wschebor

The extended BRST cohomology of N=2 super Yang-Mills theory is discussed in the framework of Algebraic Renormalization. In particular, N=2 supersymmetric descent equations are derived from the cohomological analysis of linearized…

High Energy Physics - Theory · Physics 2009-11-10 K. Ulker

The Slavnov-Taylor identities of Coulomb gauge Yang-Mills theory are derived from the (standard, second order) functional formalism. It is shown how these identities form closed sets from which one can in principle fully determine the…

High Energy Physics - Theory · Physics 2010-02-11 P. Watson , H. Reinhardt

We show that in Yang-Mills theory the Slavnov-Taylor (ST) identity, extended in the presence of a background gauge connection, allows to fix in a unique way the dependence of the vertex functional on the background, once the 1-PI amplitudes…

High Energy Physics - Theory · Physics 2011-12-09 Andrea Quadri

The problem of renormalisability of the SU(n) theory with massive gauge bosons is reinverstigated in the present work. We expound that the quantization under the Lorentz condition caused by the mass term of the gauge fields leads to a ghost…

High Energy Physics - Theory · Physics 2007-05-23 Ze-sen Yang , Zhining Zhou , Yushu Zhong , Xianhui Li
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