Massive Schwinger model with a finite inductance: theta-(in)dependence, the U(1) problem, and low-energy theorems

Details Massive Schwinger model with a finite inductance: theta-(in)dependence, the U(1) problem, and low-energy theorems Massive Schwinger model with a finite inductance: theta-(in)dependence, the U(1) problem, and low-energy theorems

2006-08-10

arxiv.org/abs/hep-th/0608070v2

Phys.Rev.D74:085007,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure; accepted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.74.085007

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.

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