# Topologically massive gauge theories

## Abstract

Gauge vector and gravity models are studied in three-dimensional space-time, where novel, gauge invariant, P and T odd terms of topological origin give rise to masses for the gauge fields. In the vector case, the massless Maxwell excitation, which is spinless, becomes massive with spin 1. When interacting with fermions, the quantum theory is infrared and ultraviolet finite in perturbation theory. For non-Abelian models, topological considerations lead to a quantization condition on the dimensionless coupling constant-mass ratio. Ordinary Einstein gravity is trivial, but when augmented by our mass term, it acquires a propagating, massive, spin 2 mode. This theory is ghost-free and causal, although of third-derivative order. Quantum calculations are presented in both the Abelian and non-Abelian vector models, to exhibit some of the delicate aspects of infrared behavior, and regularization dependence.

- Authors:

- Publication Date:

- Research Org.:
- Department of Physics, Brandis University, Waltham, Massachusetts 02254

- OSTI Identifier:
- 5015585

- DOE Contract Number:
- AC02-76ER03069

- Resource Type:
- Journal Article

- Journal Name:
- Ann. Phys. (N.Y.); (United States)

- Additional Journal Information:
- Journal Volume: 140:2

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GRAVITATION; GAUGE INVARIANCE; TOPOLOGY; VECTOR FIELDS; PROPAGATOR; LAGRANGIAN FUNCTION; P INVARIANCE; PERTURBATION THEORY; QUANTUM FIELD THEORY; T INVARIANCE; THREE-DIMENSIONAL CALCULATIONS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICS; 645400* - High Energy Physics- Field Theory

### Citation Formats

```
Deser, S., Jackiw, R., and Templeton, S.
```*Topologically massive gauge theories*. United States: N. p., 1982.
Web. doi:10.1016/0003-4916(82)90164-6.

```
Deser, S., Jackiw, R., & Templeton, S.
```*Topologically massive gauge theories*. United States. doi:10.1016/0003-4916(82)90164-6.

```
Deser, S., Jackiw, R., and Templeton, S. Sat .
"Topologically massive gauge theories". United States. doi:10.1016/0003-4916(82)90164-6.
```

```
@article{osti_5015585,
```

title = {Topologically massive gauge theories},

author = {Deser, S. and Jackiw, R. and Templeton, S.},

abstractNote = {Gauge vector and gravity models are studied in three-dimensional space-time, where novel, gauge invariant, P and T odd terms of topological origin give rise to masses for the gauge fields. In the vector case, the massless Maxwell excitation, which is spinless, becomes massive with spin 1. When interacting with fermions, the quantum theory is infrared and ultraviolet finite in perturbation theory. For non-Abelian models, topological considerations lead to a quantization condition on the dimensionless coupling constant-mass ratio. Ordinary Einstein gravity is trivial, but when augmented by our mass term, it acquires a propagating, massive, spin 2 mode. This theory is ghost-free and causal, although of third-derivative order. Quantum calculations are presented in both the Abelian and non-Abelian vector models, to exhibit some of the delicate aspects of infrared behavior, and regularization dependence.},

doi = {10.1016/0003-4916(82)90164-6},

journal = {Ann. Phys. (N.Y.); (United States)},

number = ,

volume = 140:2,

place = {United States},

year = {1982},

month = {5}

}