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Integration theory for kinks and sphalerons in one dimension

Published version
Peer-reviewed

Repository DOI


Change log

Abstract

jats:titleAbstract</jats:title> jats:pThe static kink, sphaleron and kink chain solutions for a single scalar field jats:italicφ</jats:italic> in one spatial dimension are reconsidered. By integration of the Euler–Lagrange equation, or through the Bogomolny argument, one finds that each of these solutions obeys a first-order field equation, an autonomous ODE that can always be formally integrated. We distinguish the BPS case, where the required integral is along a contour in the jats:italicφ</jats:italic>-plane, from the semi-BPS case, where the integral is along a contour in the Riemann surface double-covering the jats:italicφ</jats:italic>-plane, and is generally more complicated.</jats:p>

Description

Keywords

4902 Mathematical Physics, 49 Mathematical Sciences

Journal Title

Journal of Physics A: Mathematical and Theoretical

Conference Name

Journal ISSN

1751-8113
1751-8121

Volume Title

57

Publisher

IOP Publishing
Sponsorship
UK Science and Technology Facilities Council (ST/T000694/1)