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

高能物理 - 理论 · 物理学 2014-11-18 A. A. Slavnov

We continue the investigation of quantized Yang-Mills theories coupled to matter fields in the framework of causal perturbation theory which goes back to Epstein and Glaser. In this approach gauge invariance is expressed by a simple…

高能物理 - 理论 · 物理学 2015-06-26 Michael Duetsch

In the paper, within the background-field method, the structure of renormalizations is studied as for Yang-Mills fields interacting with a multiplet of spinor fields. By extending the Faddeev-Popov action with extra fields and parameters,…

高能物理 - 理论 · 物理学 2018-08-15 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

The first order formalism for 3D Yang-Mills theory is considered and two different formulations are introduced, in which the gauge theory appears to be a deformation of the topological BF theory. We perform the quantization and the…

高能物理 - 理论 · 物理学 2014-11-18 Alberto Accardi , Andrea Belli , Maurizio Martellini , Mauro Zeni

We prove by explicit calculation that Feynman graphs in noncommutative Yang-Mills theory made of repeated insertions into itself of arbitrarily many one-loop ghost propagator corrections are renormalizable by local counterterms. This…

高能物理 - 理论 · 物理学 2007-05-23 Harald Grosse , Thomas Krajewski , Raimar Wulkenhaar

We present a minimal version for the renormalization of softly broken Super-Yang-Mills theories using the extended model with a local gauge coupling. It is shown that the non-renormalization theorems of the case with unbroken supersymmetry…

高能物理 - 唯象学 · 物理学 2009-11-07 Elisabeth Kraus , Dominik Stöckinger

It has been argued that a certain large $N$ matrix model may provide a non-perturbative definition of $M$-theory. This model is the truncation to $0+1$ dimensions of ten-dimensional supersymmetric Yang-Mills theory. It is crucial to this…

高能物理 - 理论 · 物理学 2008-02-03 Michael Dine

We apply differential renormalization method to the study of three-dimensional topologically massive Yang-Mills and Chern-Simons theories. The method is especially suitable for such theories as it avoids the need for dimensional…

高能物理 - 理论 · 物理学 2016-08-24 W. F. Chen , H. C. Lee , Z. Y. Zhu

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…

高能物理 - 理论 · 物理学 2007-05-23 Ze-sen Yang , Zhining Zhou , Yushu Zhong , Xianhui Li

Essential to QCD applications of the operator product expansion, etc., is a knowledge of those operators that mix with gauge-invariant operators. A standard theorem asserts that the renormalization matrix is triangular: Gauge-invariant…

高能物理 - 唯象学 · 物理学 2009-10-28 John C. Collins , Randall J. Scalise

In this work we discuss a class of nonlinear covariant gauges for Yang-Mills theories which enjoy the property of being multiplicatively renormalizable to all orders. This property follows from the validity of a linearly broken identity,…

高能物理 - 理论 · 物理学 2008-11-26 V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella

The Yang-Mills theory with noncommutative fields is constructed following Hamiltonian and lagrangean methods. This modification of the standard Yang-Mills theory shed light on the confinement mechanism viewed as a Lorentz invariance…

高能物理 - 理论 · 物理学 2009-11-11 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , A. J. da Silva

To control supersymmetry and gauge invariance in super-Yang-Mills theories we introduce new fields, called shadow fields, which enable us to enlarge the conventional Faddeev-Popov framework and write down a set of useful Slavnov-Taylor…

高能物理 - 理论 · 物理学 2008-11-26 Laurent Baulieu , Guillaume Bossard , Silvio Paolo Sorella

We study the theory of noncommutative U(N) Yang-Mills field interacting with scalar and spinor fields in the fundamental and the adjoint representations. We include in the action both the terms describing interaction between the gauge and…

高能物理 - 理论 · 物理学 2009-11-07 I. L. Buchbinder , V. A. Krykhtin

We consider some typical gauge models in the causal approach: Yang-Mills and pure massless gravity up to the second order of the perturbation theory. We prove that the loop contributions are coboundaries, up to super-renormalizable terms in…

高能物理 - 理论 · 物理学 2013-01-15 Dan-Radu Grigore

The possibility that nonlocal operators might be added to the Yang-Mills action is investigated. We point out that there exists a class of nonlocal operators which lead to renormalizable gauge theories. These operators turn out to be…

高能物理 - 理论 · 物理学 2008-11-26 M. A. L. Capri , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , R. Thibes

The correlation functions of Yang-Mills theories formulated in the background field method satisfy linear Slavnov-Taylor identities, which are naive generalizations of simple tree level relations, with no deformations originating from the…

高能物理 - 理论 · 物理学 2023-02-15 A. C. Aguilar , M. N. Ferreira , D. Ibañez , B. M. Oliveira , J. Papavassiliou

We evaluate the longitudinal or (chromo-)electric Yang-Mills gluon propagator in the recently proposed center-symmetric Landau gauge at finite temperature [1]. To model the effect of the Gribov copies in the infrared, we use the…

高能物理 - 唯象学 · 物理学 2022-06-09 Duifje Maria van Egmond , Urko Reinosa

${\cal N}=4$ Super Yang-Mills theory is a highly constrained theory, and therefore a valuable tool to test the understanding of less constrained Yang-Mills theories. Our aim is to use it to test our understanding of both the Landau gauge…

高能物理 - 唯象学 · 物理学 2016-03-09 Axel Maas , Stefan Zitz

In this talk we consider the mass-deformed Yang-Mills theory in the covariant gauge which is obtained by just adding a gluon mass term to the Yang-Mills theory with the covariant gauge fixing term and the associated Faddeev-Popov ghost…

高能物理 - 理论 · 物理学 2018-12-04 Kei-Ichi Kondo , Yutaro Suda , Masaki Ohuchi , Ryutaro Matsudo , Yui Hayashi