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

H. Weigel

doi:10.1155/2017/1486912

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arXiv · 1706.02657

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

H. Weigel

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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 $\phi^6$ 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.

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H. Weigel. 2017-06-08. Emerging Translational Variance: Vacuum Polarization Energy of the $\mathbf{\phi^6}$ kink. https://doi.org/10.1155/2017%2F1486912

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