# Topological mass generation in 3 + 1 dimensions

## Abstract

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.

- Authors:

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

- Publication Date:

- OSTI Identifier:
- 5006573

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Modern Physics Letters A; (United States); Journal Volume: 6:7

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FIELD THEORIES; GAUGE INVARIANCE; COUPLING; FOUR-DIMENSIONAL CALCULATIONS; POTENTIALS; RENORMALIZATION; SYMMETRY BREAKING; TOPOLOGY; INVARIANCE PRINCIPLES; MATHEMATICS; 645300* - High Energy Physics- Particle Invariance Principles & Symmetries; 645400 - High Energy Physics- Field Theory

### Citation Formats

```
Allen, T.J., Bowick, M.J., and Lahiri, A.
```*Topological mass generation in 3 + 1 dimensions*. United States: N. p., 1991.
Web. doi:10.1142/S0217732391000580.

```
Allen, T.J., Bowick, M.J., & Lahiri, A.
```*Topological mass generation in 3 + 1 dimensions*. United States. doi:10.1142/S0217732391000580.

```
Allen, T.J., Bowick, M.J., and Lahiri, A. Thu .
"Topological mass generation in 3 + 1 dimensions". United States.
doi:10.1142/S0217732391000580.
```

```
@article{osti_5006573,
```

title = {Topological mass generation in 3 + 1 dimensions},

author = {Allen, T.J. and Bowick, M.J. and Lahiri, A.},

abstractNote = {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.},

doi = {10.1142/S0217732391000580},

journal = {Modern Physics Letters A; (United States)},

number = ,

volume = 6:7,

place = {United States},

year = {Thu Mar 07 00:00:00 EST 1991},

month = {Thu Mar 07 00:00:00 EST 1991}

}

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