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Title: 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:
 [1];  [2];  [3]
  1. Department of Physics, New York University, New York, New York 10003 (United States)
  2. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
  3. 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}
}