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Title: Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry

Abstract

Using the pinch technique, we show how to recover, from the {ital S} matrix of a spontaneously broken non-Abelian gauge theory, proper self-energies and vertices which are fully gauge invariant when one or more momenta are off shell. Explicit calculations are carried out at the one-loop level for gauge-boson self-energies and fermion--gauge-boson vertices in a simple SU(2) gauge theory with a Higgs boson. The same technique allows us to calculate, at one-loop order, a neutrino electromagnetic form factor which is gauge invariant at all photon momenta, thus resolving a long-standing problem. We show how massless Goldstone bosons, not present in the {ital S} matrix, must be introduced into Green's functions in order to reconcile gauge invariance and renormalizability.

Authors:
 [1]
  1. Department of Physics, University of California, Los Angeles, California 90024-1547 (US)
Publication Date:
OSTI Identifier:
6940442
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (USA)
Additional Journal Information:
Journal Volume: 41:10; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM CHROMODYNAMICS; SELF-ENERGY; ELECTROMAGNETIC FORM FACTORS; FERMIONS; GAUGE INVARIANCE; GOLDSTONE BOSONS; GREEN FUNCTION; HIGGS BOSONS; MASS SPECTRA; NEUTRINOS; PERTURBATION THEORY; RENORMALIZATION; S MATRIX; SU-2 GROUPS; SYMMETRY BREAKING; WARD IDENTITY; BOSONS; ELEMENTARY PARTICLES; ENERGY; FIELD THEORIES; FORM FACTORS; FUNCTIONS; INVARIANCE PRINCIPLES; LEPTONS; LIE GROUPS; MASSLESS PARTICLES; MATRICES; PARTICLE PROPERTIES; POSTULATED PARTICLES; QUANTUM FIELD THEORY; SPECTRA; SU GROUPS; SYMMETRY GROUPS; 645300* - High Energy Physics- Particle Invariance Principles & Symmetries; 645400 - High Energy Physics- Field Theory

Citation Formats

Papavassiliou, J. Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry. United States: N. p., 1990. Web. doi:10.1103/PhysRevD.41.3179.
Papavassiliou, J. Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry. United States. https://doi.org/10.1103/PhysRevD.41.3179
Papavassiliou, J. Tue . "Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry". United States. https://doi.org/10.1103/PhysRevD.41.3179.
@article{osti_6940442,
title = {Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry},
author = {Papavassiliou, J},
abstractNote = {Using the pinch technique, we show how to recover, from the {ital S} matrix of a spontaneously broken non-Abelian gauge theory, proper self-energies and vertices which are fully gauge invariant when one or more momenta are off shell. Explicit calculations are carried out at the one-loop level for gauge-boson self-energies and fermion--gauge-boson vertices in a simple SU(2) gauge theory with a Higgs boson. The same technique allows us to calculate, at one-loop order, a neutrino electromagnetic form factor which is gauge invariant at all photon momenta, thus resolving a long-standing problem. We show how massless Goldstone bosons, not present in the {ital S} matrix, must be introduced into Green's functions in order to reconcile gauge invariance and renormalizability.},
doi = {10.1103/PhysRevD.41.3179},
url = {https://www.osti.gov/biblio/6940442}, journal = {Physical Review, D (Particles Fields); (USA)},
issn = {0556-2821},
number = ,
volume = 41:10,
place = {United States},
year = {1990},
month = {5}
}