Gauge Invariance and Vacuum Energies of Non-Abelian String-Configurations

Details Gauge Invariance and Vacuum Energies of Non-Abelian String-Configurations Gauge Invariance and Vacuum Energies of Non-Abelian String-Configurations

2010-04-20

arxiv.org/abs/1004.3495v2

Phys. Lett. B690 (2010) 514

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 2 figures, matches version to be published in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2010.05.070

We improve on a method to compute the fermion contribution to the vacuum polarization energy of string-like configurations in a non-Abelian gauge theory. We establish the new method by numerically verifying the invariance under (a subset of) local gauge transformations. This also provides further support for the use of spectral methods to compute vacuum polarization energies in general. We confirm that the vacuum energy in the MS-bar renormalization scheme is tiny as compared to the mass of the fluctuating fermion field. Numerical results for the physical on-shell scheme are also presented.

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