Gaugeinvariant proper selfenergies 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 nonAbelian gauge theory, proper selfenergies and vertices which are fully gauge invariant when one or more momenta are off shell. Explicit calculations are carried out at the oneloop level for gaugeboson selfenergies and fermiongaugeboson vertices in a simple SU(2) gauge theory with a Higgs boson. The same technique allows us to calculate, at oneloop order, a neutrino electromagnetic form factor which is gauge invariant at all photon momenta, thus resolving a longstanding 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:

 Department of Physics, University of California, Los Angeles, California 900241547 (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 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM CHROMODYNAMICS; SELFENERGY; ELECTROMAGNETIC FORM FACTORS; FERMIONS; GAUGE INVARIANCE; GOLDSTONE BOSONS; GREEN FUNCTION; HIGGS BOSONS; MASS SPECTRA; NEUTRINOS; PERTURBATION THEORY; RENORMALIZATION; S MATRIX; SU2 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. Gaugeinvariant proper selfenergies and vertices in gauge theories with broken symmetry. United States: N. p., 1990.
Web. doi:10.1103/PhysRevD.41.3179.
Papavassiliou, J. Gaugeinvariant proper selfenergies and vertices in gauge theories with broken symmetry. United States. https://doi.org/10.1103/PhysRevD.41.3179
Papavassiliou, J. Tue .
"Gaugeinvariant proper selfenergies and vertices in gauge theories with broken symmetry". United States. https://doi.org/10.1103/PhysRevD.41.3179.
@article{osti_6940442,
title = {Gaugeinvariant proper selfenergies 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 nonAbelian gauge theory, proper selfenergies and vertices which are fully gauge invariant when one or more momenta are off shell. Explicit calculations are carried out at the oneloop level for gaugeboson selfenergies and fermiongaugeboson vertices in a simple SU(2) gauge theory with a Higgs boson. The same technique allows us to calculate, at oneloop order, a neutrino electromagnetic form factor which is gauge invariant at all photon momenta, thus resolving a longstanding 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 = {05562821},
number = ,
volume = 41:10,
place = {United States},
year = {1990},
month = {5}
}