Emerging Translational Variance: Vacuum Polarization Energy of the ${\varphi }^6$ kink

Abstract

We propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow a decomposition into symmetric and anti-symmetric channels in one space dimension. In particular we compute the vacuum polarization energy of the kink soliton in the ${\varphi }^6$ 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.

13 pages, changes made to match journal version (including title)

References in corpus (1)

• Vacuum Polarization Energy for General Backgrounds in One Space Dimension

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