Abstract
Gauge theories embedded into higher-dimensional spaces with certain topologies acquire inductance terms, which reflect the energy cost of topological charges accumulated in the extra dimensions. We compute topological susceptibility in the strongly-coupled two-flavor massive Schwinger model with such an inductance term and find that it vanishes, due to the contribution of a global low-energy mode (a "global axion"). This is in accord with the general argument on the absence of theta dependence in such topologies. Because the mode is a single oscillator, there is no corresponding particle, and the solution to the U(1) problem is unaffected.
Published in:
Physical Review D 74,8 (2006) 085007;
Link to original published article:
http://dx.doi.org/10.1103/PhysRevD.74.085007
Keywords
cp conservation;; invariance;; vacuum
Date of Version
January 2006
Recommended Citation
Khlebnikov, S., "Massive Schwinger model with a finite inductance: theta (in)dependence, the U(1)
problem, and low-energy theorems" (2006). Department of Physics and Astronomy Faculty Publications. Paper 295.
https://docs.lib.purdue.edu/physics_articles/295