Topological mass generation in 3 + 1 dimensions

Journal Article · Thu Mar 07 04:00:00 EST 1991 · Modern Physics Letters A; (United States)

DOI:https://doi.org/10.1142/S0217732391000580· OSTI ID:5006573

Allen, T J; Bowick, M J; Lahiri, A ^[1]

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1. Syracuse Univ., NY (United States). Dept. of Physics

In this paper, the 4-dimensional theory of a 1-form Abelian gauge field A coupled to a 2-form (antisymmetric tensor) potential B. The two gauge invariances of the theory admit a coupling mB F where F is the field strength (F = dA) of A. It is shown that this theory is a unitary, renormalizable theory of a massive spin-one field with no additional degrees of freedom. In this sense, it is a generalization to four dimensions of topological mechanisms in two dimensions (the Schwinger model) and three dimensions (Chern-Simons theory). The issue of spontaneous symmetry breaking is also examined.

• OSTI ID: 5006573
• Journal Information: Modern Physics Letters A; (United States), Journal Name: Modern Physics Letters A; (United States) Vol. 6:7; ISSN 0217-7323; ISSN MPLAE
• 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
COUPLING
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MATHEMATICS
POTENTIALS
RENORMALIZATION
SYMMETRY BREAKING
TOPOLOGY