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We prove gauge-independence of one-loop path integral for on-shell quantum gravity obtained in a framework of modified geometric approach. We use projector on pure gauge directions constructed via quadratic form of the action. This enables…

High Energy Physics - Theory · Physics 2009-10-28 Dmitri V. Vassilevich

The aim of this paper is to give a firm and clear proof of the existence in the background field framework of a gauge invariant effective action for any gauge theory ({\it background gauge equivalence}). Here by effective action we mean a…

High Energy Physics - Theory · Physics 2008-11-26 Carlo Becchi , Renzo Collina

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

We show that in a spontaneously broken effective gauge field theory, quantized in a general background $R_\xi$-gauge, also the background fields undergo a non-linear (albeit background-gauge invariant) field redefinition induced by…

High Energy Physics - Theory · Physics 2021-02-23 Andrea Quadri

We consider radiation emitted by colour-charged and massive particles crossing strong plane wave backgrounds in gauge theory and gravity. These backgrounds are treated exactly and non-perturbatively throughout. We compute the back-reaction…

High Energy Physics - Theory · Physics 2020-10-28 Tim Adamo , Anton Ilderton

Using the pinch technique we construct at one-loop order a neutrino charge radius, which is finite, depends neither on the gauge-fixing parameter nor on the gauge-fixing scheme employed, and is process-independent. This definition stems…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bernabeu , L. G. Cabral-Rosetti , J. Papavassiliou , J. Vidal

In spontaneously broken gauge theories, transition amplitudes describing dark-matter (DM) annihilation processes through a resonance may become highly inaccurate close to a production threshold, if a Breit-Wigner (BW) ansatz with a constant…

High Energy Physics - Phenomenology · Physics 2019-03-27 Mateusz Duch , Bohdan Grzadkowski , Apostolos Pilaftsis

The pinch technique (PT) is applied to obtain the gauge-independent resummed gluon self-energy in a hot Yang-Mills gas. Calculation is performed at one- loop level in linear gauges which preserve rotational invariance and the res ummed…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ken Sasaki

We consider generating functionals of Green's functions with external fields in the framework of BV and BLT quantization schemes for general gauge theories. The corresponding Ward identities are obtained, and the gauge dependence is…

High Energy Physics - Theory · Physics 2009-10-30 S. Falkenberg , B. Geyer , P. Lavrov , P. Moshin

The gauge dependence in the anomalous dimension of the gauge-invariant-canonical-energy-momentum tensor for proton is studied by the background field method. The naive calculation shows the problem, the absence of the counter term in the…

High Energy Physics - Phenomenology · Physics 2017-03-17 Yoshio Kitadono , Pengming Zhang

The magnetic polarisability of the neutral pion has been calculated using the background field method in lattice QCD. These early results do not consider the effect of the disconnected loop contractions arising from the breaking of charge…

High Energy Physics - Lattice · Physics 2022-04-21 Ryan Bignell , Waseem Kamleh , Derek Leinweber

We re-examine the perturbative properties of four-dimensional non-commutative QED by extending the pinch techniques to the theta-deformed case. The explicit independence of the pinched gluon self-energy from gauge-fixing parameters, and the…

High Energy Physics - Theory · Physics 2009-11-11 Nicola Caporaso , Sara Pasquetti

We review the Pinch Technique - Background Field Method (PT-BFM) framework for formulating and solving the Schwinger-Dyson equations of Yang-Mills theories. In particular, we show how within this framework it is possible to write a new set…

High Energy Physics - Phenomenology · Physics 2011-03-10 Daniele Binosi

In an earlier paper [arXiv:1408.0484] gauge invariant and background covariant equations for closed string modes were obtained from the exact renormalization group equation of the world sheet theory. The background metric (but not the…

High Energy Physics - Theory · Physics 2015-08-06 B. Sathiapalan

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

The background field method has been used successfully to determine hadron electromagnetic polarizabilities. Recently questions have been raised regarding the proper way to deal with the electric field on the lattice. In this paper, we show…

High Energy Physics - Lattice · Physics 2010-01-21 Andrei Alexandru , Frank X. Lee

The generating functionals of Green's functions with composite and external fields are considered in the framework of BV and BLT quantization methods for general gauge theories. The corresponding Ward identities are derived and the gauge…

High Energy Physics - Theory · Physics 2009-10-30 S. Falkenberg , B. Geyer , P. Moshin

In a previous paper we have shown how, for bosonic fields, the generating functional in both relativistic quantum field theory and thermal field theory can be evaluated by use of a standard quantum mechanical path integral. In this paper we…

High Energy Physics - Theory · Physics 2009-10-22 D G C McKeon , a K Rebhan

The $S$-matrix is known to be independent of the gauge fixing parameter to all orders in perturbation theory. In this paper by employing the pinch technique we prove at one loop a stronger version of this independence. In particular we show…

High Energy Physics - Phenomenology · Physics 2009-10-28 Joannis Papavassiliou , Kostas Philippides

It is shown that the fundamental properties of gauge-independence, gauge-invariance, unitarity, and analyticity of the $S$-matrix lead to the unambiguous generalization of the pinch technique algorithm to two loops.

High Energy Physics - Phenomenology · Physics 2008-11-26 Joannis Papavassiliou