Quantum fluctuations around low-dimensional topological defects

Abstract

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.

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

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Cited by in corpus (5)

• Quantum-induced interactions in the moduli space of degenerate BPS domain walls
• Dissecting zero modes and bound states on BPS vortices in Ginzburg-Landau superconductors
• Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts
• Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons
• Quantum fluctuations of topological ${\mathbb{S}}^3$-kinks