Models of dynamically broken gauge theories

Journal Article · Tue Apr 15 00:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.2336· OSTI ID:5388626

Pagels, H

We examine dynamical symmetry breaking in gauge theories with special emphasis on the solutions to the Hammerstein integral equations. Various simple gauge models are examined. In vector electrodynamics U/sub V/(1) we show there is no Schwinger mechanism in 3+1 dimensions if the coupling is below a fixed point. Likewise, in axial-vector electrodynamics U/sub A/(1) there is no dynamical Higgs mechanism. For the U/sub V/(1) x U/sub A/(1) model of Cornwall and Norton and Jackiw and Johnson we have the known result that for the irregular solution to the Bethe-Salpeter equation the fermion--gauge-boson mass ratio is m/sub F//sup 2//m/sub A//sup 2/ approx. O(1); however, for the regular solution there is an interesting new result that m/sub F//sup 2//m/sub A//sup 2/ approx. O(g/sup 2//8..pi../sup 2/), where g is a gauge coupling. For right-left--symmetric gauge theories, m/sub F//sup 2//m/sub B//sup 2/ approx. exp(-b/g/sup 2/) and the self-consistent integral equations are Fredholm type. We also discuss non-Abelian models SU/sub V/(n) and SU/sub R/(2) x SU/sub L/(2) and some implications of the renormalization group. Dynamical ..gamma../sub 5/ breaking in quantum chromodynamics is briefly reviewed. We show how the weak interactions of heavy quarks interacting with light quarks can give rise to the current-quark mass matrix with current-quark masses of a few MeV and larger. Finally, we discuss the possibility of dynamically broken vacuum T invariance in gauge theories without scalars. No attempt is made in this article to construct a realistic dynamically broken gauge theory of quarks and leptons. However, what this work suggests is that the leptoquark spectrum may be the manifestation of a dynamical rather than kinematic symmetry.

• Research Organization: The Rockefeller University, New York, New York 10021
• OSTI ID: 5388626
• Journal Information: Phys. Rev., D; (United States), Vol. 21:8
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRODYNAMICS
SYMMETRY BREAKING
QUANTUM CHROMODYNAMICS
QUARKS
MASS
T INVARIANCE
BOUND STATE
CHIRAL SYMMETRY
GAUGE INVARIANCE
HIGGS BOSONS
INTEGRAL EQUATIONS
MASS SPECTRA
P INVARIANCE
QUARK-QUARK INTERACTIONS
RENORMALIZATION
SU GROUPS
WEAK INTERACTIONS
BASIC INTERACTIONS
BOSONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
INTERACTIONS
INTERMEDIATE BOSONS
INVARIANCE PRINCIPLES
LIE GROUPS
PARTICLE INTERACTIONS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
SPECTRA
SYMMETRY
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory
645302 - High Energy Physics- Particle Invariance Principles & Symmetries- Applications to Electromagnetic & Weak Interactions- (-1987)