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Related papers: The background-field formulation of the electrowea…

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In this article we provide a manifestly gauge-invariant approach to charged particles. It involves (1) Green functions of gauge-invariant operators and (2) Feynman rules which do not depend on any kind of gauge-fixing condition. First, we…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Schenk

We show that with suitable choices of parametrization, gauge fixing and cutoff, the anomalous variation of the effective action under global rescalings of the background metric is identical to the derivative with respect to the cutoff, i.e.…

High Energy Physics - Theory · Physics 2017-03-08 Roberto Percacci , Gian Paolo Vacca

In the present paper, that is the second part devoted to the construction of an electroweak model based on a nonlinear realization of the gauge group SU(2) X U(1), we study the tree-level vertex functional with all the sources necessary for…

High Energy Physics - Theory · Physics 2010-11-22 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

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 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

We present a pedagogical and self contained account of the functional formulation of non-Abelian gauge theories, aimed at the construction of a process independent effective charge for Yang--Mills theory. Starting from the path integral…

High Energy Physics - Phenomenology · Physics 2026-03-17 Daniele Binosi

We use the S-matrix pinch technique to derive to one loop-order gauge independent $\gamma W^{+} W^{-} $ and Z $W^{+} W^{-}$ vertices in the context of the Standard Model,with all three incoming momenta off-shell. We show that the $\gamma…

High Energy Physics - Phenomenology · Physics 2009-10-22 Joannis Papavassiliou , Kostas Philippides

The electroweak model is formulated on the nonlinearly realized gauge group SU(2) X U(1). This implies that in perturbation theory no Higgs field is present. The paper provides the effective action at the tree level, the Slavnov Taylor…

High Energy Physics - Phenomenology · Physics 2010-11-22 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

We review our most recent results in formulating gauge theories in the presence of a background field on the basis of symmetry arguments only. In particular we show how one can gain full control over the dependence on the background field…

High Energy Physics - Theory · Physics 2014-01-16 Daniele Binosi

By using the enlarged BRS transformations we control the gauge parameter dependence of Green functions in the background field gauge. We show that it is unavoidable -- also if we consider the local Ward identity -- to introduce the…

High Energy Physics - Theory · Physics 2009-10-31 Rainer Haeussling , Elisabeth Kraus , Klaus Sibold

The definition of the locally covariant Dirac field is adapted such that it may be charged under a gauge group and in the presence of generic gauge and Yukawa background fields. We construct renormalized Wick powers and time-ordered…

Mathematical Physics · Physics 2014-01-16 Jochen Zahn

Electric charge, as defined in the Thomson limit of the electron--photon interaction vertex, is renormalized to all orders both in the Standard Model and in any spontaneously broken gauge theory with gauge group GxU(1) with a group factor…

High Energy Physics - Phenomenology · Physics 2021-09-09 Stefan Dittmaier

In this paper we reanalyze the electroweak chiral Lagrangian with particular focus on two issues related to gauge invariance. Our analysis is based on a manifestly gauge-invariant approach that we introduced recently. It deals with…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andreas Nyffeler , Andreas Schenk

The Standard Model of electroweak interactions has been recast as a gauge free theory where the fields present in the Lagrangian are made inert under $SU(2)_L \times U(1)_Y$ gauge transformations. Furthermore, the residual $U(1)_{em}$ gauge…

High Energy Physics - Phenomenology · Physics 2014-09-11 Srijit Bhattacharjee

Descriptions of the ground state in unbroken gauge theories with charged particles are discussed. In particular it is shown that the on-shell Green's functions and S-matrix elements corresponding to the scattering of these variables in QED…

High Energy Physics - Theory · Physics 2007-05-23 Emili Bagan , Martin Lavelle , David McMullan

We derive the finite one-loop counterterm required to restore the Ward Identities broken by the regularization scheme in chiral gauge theories. Our result is an analytic expression applicable to a wide class of regularizations satisfying a…

High Energy Physics - Phenomenology · Physics 2023-03-22 Claudia Cornella , Ferruccio Feruglio , Luca Vecchi

The concept of perturbative gauge invariance formulated exclusively by means of asymptotic fields is generalized to massive gauge fields. Applying it to the electroweak theory leads to a complete fixing of couplings of scalar and ghost…

High Energy Physics - Theory · Physics 2008-02-03 Michael Dutsch , Gunter Scharf

Gauge invariance is a powerful tool to determine the dynamics of the electroweak and strong forces. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to the many…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Pich

Gauge invariance is a powerful tool to determine the dynamics of the electroweak and strong forces. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to the many…

High Energy Physics - Phenomenology · Physics 2007-06-13 Antonio Pich

The "non-linear" self-consistent theory of classical fields in the electroweak model is proposed. Homogeneous boson ground state solutions in the GSW model at the presence of a non-zero extended fermionic charge densities are reviewed and…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Syska