Vacuum Energies of Non--Abelian String--Configurations in 3+1 Dimensions

Details Vacuum Energies of Non--Abelian String--Configurations in 3+1 Dimensions Vacuum Energies of Non--Abelian String--Configurations in 3+1 Dimensions

2009-12-17

arxiv.org/abs/0912.3463v2

Nucl. Phys. B 831 (2010) 306

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 5 tables, matches version accepted by Nucl Phys B

Scientific paper

10.1016/j.nuclphysb.2010.01.020

We develop a method to compute the fermion contribution to the vacuum polarization energy of string--like configurations in a non--abelian gauge theory. This calculation has been hampered previously by a number of technical obstacles. We use gauge invariance of the energy and separation of length scales in the energy density to overcome these obstacles. We present a proof-of-principle investigation that shows that this energy is small in the MS-bar renormalization scheme. The generalization to other schemes is straightforward.

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