Effective Lagrangian in spontaneously broken gauge theories

Journal Article · Fri Dec 01 04:00:00 EST 1978 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523651· OSTI ID:6679138

Incoul, R

In gauge theories of weak and electromagnetic interactions, it is generally assumed that the addition of extra groups (simple or U(1)) commuting with the standard Weinberg--Salam SU(2) X U(1) group, generates new degrees of freedom for the model, simply because there are new coupling constants in the game. This assertion is not true in general. When looking at the effective Lagrangian of the physical system (-q/sup 2/ much smaller than any mass of the massive vector bosons), we see that a coupling constant completely disappears if the generators of its corresponding group do not enter in any surviving unbroken subgroup (U(1) for Weinberg--Salam model). In those cases, the novelties are provided only by the quantum numbers of the fields and especially by the arbitrariness on the choice of ''unphysical'' Higgs fields. This effective Lagrangian is defined and constructed in the case where the initial and final symmetry groups are direct products of simple groups and U(1) groups. Some of its remarkable properties are investigated.

• Research Organization: Faculte des Sciences, Universite de l'Etat a Mons, B-7000 Mons, Belgium
• OSTI ID: 6679138
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 19:12; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645301 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HIGGS MODEL
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM NUMBERS
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS