Renormalizable massive Yang-Mills theory with intrinsic symmetry breakdown

Journal Article · Tue Jul 15 04:00:00 EDT 1975 · Phys. Rev., D, v. 12, no. 2, pp. 620-625

DOI:https://doi.org/10.1103/PhysRevD.12.620· OSTI ID:4153831

Hsu, J P; Underwood, J A

We use the method of the Lagrange multiplier field to construct, within the framework of indefinite-metric field theory, a model of a massive Yang-Mills field, the mass of which derives from an intrinsic symmetry breakdown, rather than a spontaneous symmetry breakdown. The rules for the Feynman diagrams are given. The dynamical structure of the interacting fields is intrinsically related to a local non-Abelian gauge symmetry which renders the theory renormalizable by standard power counting. The part of the amplitude due to the interaction of unphysical particles in the intermediate states, which violates unitarity and gauge symmetry, is isolated and removed, leaving the unitary physical S matrix. The unitarity of the resulting theory, together with its independence with respect to the parameter xi, is demonstrated in calculations at the one-loop and the two-loop levels.

• Research Organization: Center for Particle Theory, The University of Texas, Austin, Texas 78712
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-004580
• OSTI ID: 4153831
• Journal Information: Phys. Rev., D, v. 12, no. 2, pp. 620-625, Journal Name: Phys. Rev., D, v. 12, no. 2, pp. 620-625; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*YANG-MILLS THEORY-- SYMMETRY BREAKING
641300*
FEYNMAN DIAGRAM
GAUGE INVARIANCE
GREEN FUNCTION
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
N76200* --Physics (Theoretical)--Quantum Field Theories
PROPAGATOR
S MATRIX
SCALAR FIELDS
SCATTERING AMPLITUDES
UNITARITY