One loop corrections to the mass of self-dual semi-local planar topological solitons

Details One loop corrections to the mass of self-dual semi-local planar topological solitons One loop corrections to the mass of self-dual semi-local planar topological solitons

2007-07-31

arxiv.org/abs/0707.4592v3

Nucl.Phys.B797:431-463,2008

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 29 pages, 10 Tables, 10 Figures. Version to appear in Nuclear Physics B

Scientific paper

10.1016/j.nuclphysb.2007.11.023

A formula is derived that allows the computation of one-loop mass shifts for self-dual semilocal topological solitons. These extended objects, which in three spatial dimensions are called semi-local strings, arise in a generalized Abelian Higgs model with a doublet of complex Higgs fields. Having a mixture of global, SU(2), and local (gauge), U(1), symmetries, this weird system may seem bizarre, but it is in fact the bosonic sector of electro-weak theory when the weak mixing angle is of 90 degrees. The procedure for computing the semi-classical mass shifts is based on canonical quantization and heat kernel/zeta function regularization methods.

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