# Topological Mass Generation in Four Dimensions

## Abstract

We show that in a large class of physically interesting systems the mass-generation phenomenon can be understood in terms of topological structures, without requiring a detailed knowledge of the underlying dynamics. This is first demonstrated by showing that Schwinger's mechanism for mass generation relies on topological structures of a two-dimensional gauge theory. In the same manner, corresponding four-dimensional topological entities give rise to topological mass generation in four dimensions. This formulation offers a unified topological description of some seemingly unrelated phenomena, such as two-dimensional superconductivity, and the generation of {eta}{sup '} and axion masses by QCD, and possibly by gravity.

- Authors:

- Department of Physics, New York University, New York, New York 10003 (United States)
- Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
- Department of Physics, Boston University, Boston, Massachusetts 02215 (United States)

- Publication Date:

- OSTI Identifier:
- 20777059

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevLett.96.081602; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AXIONS; CHIRAL SYMMETRY; ETA MESONS; GAUGE INVARIANCE; INTERMEDIATE BOSONS; MASS; QUANTUM CHROMODYNAMICS; QUANTUM ELECTRODYNAMICS; QUANTUM GRAVITY; RESONANCE; SUPERCONDUCTIVITY; TOPOLOGY; TWO-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Dvali, Gia, Jackiw, R., and Pi, So-Young.
```*Topological Mass Generation in Four Dimensions*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevLett.96.081602.

```
Dvali, Gia, Jackiw, R., & Pi, So-Young.
```*Topological Mass Generation in Four Dimensions*. United States. doi:10.1103/PhysRevLett.96.081602.

```
Dvali, Gia, Jackiw, R., and Pi, So-Young. Fri .
"Topological Mass Generation in Four Dimensions". United States.
doi:10.1103/PhysRevLett.96.081602.
```

```
@article{osti_20777059,
```

title = {Topological Mass Generation in Four Dimensions},

author = {Dvali, Gia and Jackiw, R. and Pi, So-Young},

abstractNote = {We show that in a large class of physically interesting systems the mass-generation phenomenon can be understood in terms of topological structures, without requiring a detailed knowledge of the underlying dynamics. This is first demonstrated by showing that Schwinger's mechanism for mass generation relies on topological structures of a two-dimensional gauge theory. In the same manner, corresponding four-dimensional topological entities give rise to topological mass generation in four dimensions. This formulation offers a unified topological description of some seemingly unrelated phenomena, such as two-dimensional superconductivity, and the generation of {eta}{sup '} and axion masses by QCD, and possibly by gravity.},

doi = {10.1103/PhysRevLett.96.081602},

journal = {Physical Review Letters},

number = 8,

volume = 96,

place = {United States},

year = {Fri Mar 03 00:00:00 EST 2006},

month = {Fri Mar 03 00:00:00 EST 2006}

}

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