Quantum fluctuations around low-dimensional topological defects

Details Quantum fluctuations around low-dimensional topological defects Quantum fluctuations around low-dimensional topological defects

2009-09-11

arxiv.org/abs/0909.2107v1

PoS ISFTG 2009:013,2009

Physics

High Energy Physics

High Energy Physics - Theory

63 pages, 14 figures, expanded version of two lectures given by J.M.G. in 5th International School on Field Theory and Gravita

Scientific paper

In these Lectures a method is described to analyze the effect of quantum fluctuations on topological defect backgrounds up to the one-loop level. The method is based on the spectral heat kernel/zeta function regularization procedure, and it is first applied to various types of kinks arising in several deformed linear and non-linear sigma models with different numbers of scalar fields. In the second part, the same conceptual framework is constructed for the topological solitons of the planar semilocal Abelian Higgs model, built from a doublet of complex scalar fields and one U(1) gauge field.

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