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Related papers: Algebraic Aspects of the Background Field Method

200 papers

The applicability of the background field method in spontaneously broken gauge theories is examined with new features emphasized. An explicit one loop analysis in the electroweak theory shows that the method can be consistently implemented…

High Energy Physics - Phenomenology · Physics 2009-09-25 Xiaoyuan Li , Yi Liao

A cutoff regularization for a pure Yang-Mills theory is implemented within the background field method keeping explicit the gauge invariance of the effective action. The method has been applied to compute the beta function at one loop…

High Energy Physics - Theory · Physics 2011-07-19 M. Bonini , E. Tricarico

We reconsider the Equivalence Theorem from an algebraic viewpoint, using an extended BRST symmetry. This version of the Equivalence Theorem is then used to reexpress the Abelian Higgs model action, originally written in terms of undesirable…

High Energy Physics - Theory · Physics 2024-12-23 Bram Boeykens , David Dudal , Thomas Oosthuyse

We study the non-linear background field redefinitions arising at the quantum level in a spontaneously broken effective gauge field theory. The non-linear field redefinitions are crucial for the symmetric (i.e. fulfilling all the relevant…

High Energy Physics - Theory · Physics 2021-09-28 Andrea Quadri

A framework for background independent open-string field theory is proposed. The approach involves using the BV formalism -- in a way suggested by recent developments in closed-string field theory -- to implicitly define a gauge invariant…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

Exact construction of superstring field theory in some background fields is very important. We construct the low energy NS-NS sector of superstring field action in the pp-wave background with the flux of NS-NS antisymmetric tensor field…

High Energy Physics - Theory · Physics 2011-03-02 Yoichi Chizaki , Shigeaki Yahikozawa

We show that for open gauge theories, it is possible to build an off-shell Becchi-Rouet-Stora-Tyutin (BRST) algebra together with an invariant extension of the classical action. This is based on the introduction of auxiliary fields, after…

High Energy Physics - Theory · Physics 2015-06-17 N. Djeghloul , A. Meziane , M. Tahiri

In the framework of osp(1,2)-symmetric quantization of irreducible massive gauge theories the background field method is studied for the simplest case of a linear splitting of the gauge field into a background configuration and the quantum…

High Energy Physics - Theory · Physics 2009-10-31 Bodo Geyer , Dietmar Mülsch

We derive a general relation between the background effective actions, which directly proves that the two formulations of the Einstein-Hilbert theory with background fields are equivalent at the quantum level. This basic result has been…

High Energy Physics - Theory · Physics 2026-01-13 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon

We study gauge theories of background fields associated to BRST quantized spinning particle models and identify background-independent algebraic structures which allow to systematically reduce the spectrum of fields and subject some of them…

High Energy Physics - Theory · Physics 2023-01-03 Maxim Grigoriev , Adiel Meyer , Ivo Sachs

Gauge-invariant descriptions for a free bosonic scalar field of continuous spin in a $d$-dimensional Minkowski space-time using a metric-like formulation are constructed on the basis of a constrained BRST-BFV approach we propose. The…

High Energy Physics - Theory · Physics 2020-09-10 C. Burdik , V. K. Pandey , A. Reshetnyak

We analyze the problem of general covariance for quantum gravity theories in the background field formalism with respect to gauge fixing procedure. We prove that the background effective action is not invariant under general coordinate…

High Energy Physics - Theory · Physics 2018-12-11 Peter M. Lavrov

The dependence of the effective action for gauge theories on the background field obeys an exact identity. We argue that for Abelian theories the Ward identity follows from the more general background field identity. This observation is…

High Energy Physics - Theory · Physics 2009-10-30 F. Freire , C. Wetterich

We study the general theory of Englert-Brout-Higgs mechanism without assuming Lorentz invariance. In the presence of a finite expectation value of non-Abelian matter charges, gauging those symmetries always results in spontaneous breaking…

High Energy Physics - Theory · Physics 2015-06-26 Haruki Watanabe , Hitoshi Murayama

We develop BRST quantization of gauge theories with a soft gauge algebra on spaces with asymptotic boundaries. The asymptotic boundary conditions are imposed on background fields, while quantum fluctuations about these fields are described…

High Energy Physics - Theory · Physics 2018-10-17 Bernard de Wit , Sameer Murthy , Valentin Reys

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

We show that the BRST identities can be used to control the renormalization of the background gauge in QCD, in spite of the fact that one-particle reducible graphs have to be omitted. We obtain the all orders renormalized affective action…

High Energy Physics - Theory · Physics 2018-02-14 J Frenkel , J C Taylor

A $\theta$-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter $\theta$. We…

High Energy Physics - Theory · Physics 2009-11-11 D. M. Gitman , P. Yu. Moshin , A. A. Reshetnyak

We study the renormalization of non-semisimple gauge models quantized in the `t Hooft-background gauge to all orders. We analyze the normalization conditions for masses and couplings compatible with the Slavnov-Taylor and Ward-Takahashi…

High Energy Physics - Theory · Physics 2008-11-26 Pietro Antonio Grassi

In this letter we make use of the Background Field Method (BFM) to compute the effective potential of an SU(2) gauge field theory, in the presence of chemical potential and temperature. The main idea is to consider the chemical potential as…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. Loewe , S. Mendizabal , J. C. Rojas