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

Journal Article · Tue May 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.3179· OSTI ID:6940442

Papavassiliou, J ^[1]

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1. Department of Physics, University of California, Los Angeles, California 90024-1547 (US)

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.

• OSTI ID: 6940442
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELECTROMAGNETIC FORM FACTORS
ELEMENTARY PARTICLES
ENERGY
FERMIONS
FIELD THEORIES
FORM FACTORS
FUNCTIONS
GAUGE INVARIANCE
GOLDSTONE BOSONS
GREEN FUNCTION
HIGGS BOSONS
INVARIANCE PRINCIPLES
LEPTONS
LIE GROUPS
MASS SPECTRA
MASSLESS PARTICLES
MATRICES
NEUTRINOS
PARTICLE PROPERTIES
PERTURBATION THEORY
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
S MATRIX
SELF-ENERGY
SPECTRA
SU GROUPS
SU-2 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
WARD IDENTITY