Gauge fields in nonlinear group realizations involving two-dimensional space-time symmetry

Journal Article · Tue Jul 15 04:00:00 EDT 1975 · Phys. Rev., D, v. 12, no. 2, pp. 531-537

DOI:https://doi.org/10.1103/PhysRevD.12.531· OSTI ID:4143623

Machacek, M E; McCliment, E R

It is shown that gauge fields may be consistently introduced into a model Lagrangian previously considered by the authors. The model is suggested by the spontaneous breaking of a Lorentz-type group into a quasiphysical two- dimensional space-time and one internal degree of freedom, loosely associated with charge. The introduction of zero-mass gauge fields makes possible the absorption via the Higgs mechanism of the Goldstone fields that appear in the model despite the fact that the Goldstone fields do not transform as scalars. Specifically, gauge invariance of the Yang-Mills type requires the introduction of two sets of massless gauge fields. The transformation properties in two- dimensional space-time suggest that one set is analogous to a charge doublet that behaves like a second-rank tensor in real four-dimensional space time. The other set suggests a spin-one-like charge triplet. Via the Higgs mechanism, the first set absorbs the Goldstone fields and acquires mass. The second set remains massless. If massive gauge fields are introduced, the associated currents are not conserved and the Higgs mechanism is no longer fully operative. The Goldstone fields are not eliminated, but coupling between the Goldstone fields and the gauge fields does shift the mass of the antisymmetric second-rank-tensor gauge field components.

• Research Organization: Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-004583
• OSTI ID: 4143623
• Journal Information: Phys. Rev., D, v. 12, no. 2, pp. 531-537, Journal Name: Phys. Rev., D, v. 12, no. 2, pp. 531-537; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*LAGRANGIAN FIELD THEORY-- GAUGE INVARIANCE
641300*
GOLDSTONE BOSONS
LAGRANGIAN FUNCTION
N76200* --Physics (Theoretical)--Quantum Field Theories
SPACE-TIME
SYMMETRY BREAKING
TWO-DIMENSIONAL CALCULATIONS