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Advances in High Energy Physics
Volume 2017 (2017), Article ID 1486912, 10 pages
https://doi.org/10.1155/2017/1486912
Research Article

Emerging Translational Variance: Vacuum Polarization Energy of the Kink

Institute for Theoretical Physics, Physics Department, Stellenbosch University, Matieland 7602, South Africa

Correspondence should be addressed to H. Weigel

Received 19 May 2017; Accepted 8 June 2017; Published 30 July 2017

Academic Editor: Ralf Hofmann

Copyright © 2017 H. Weigel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow decomposition into symmetric and antisymmetric channels in one space dimension. In particular, we compute the vacuum polarization energy of the kink soliton in the model. We link the dependence of this energy on the position of the center of the soliton to the different masses of the quantum fluctuations at negative and positive spatial infinity.