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arXiv · 1512.06721

Vacuum Decay in CFT and the Riemann-Hilbert problem

Guilherme L. Pimentel·Alexander M. Polyakov·Grigory M. Tarnopolsky
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Abstract

We study vacuum stability in 1+1 dimensional Conformal Field Theories with external background fields. We show that the vacuum decay rate is given by a non-local two-form. This two-form is a boundary term that must be added to the effective in/out Lagrangian. The two-form is expressed in terms of a Riemann-Hilbert decomposition for background gauge fields, and its novel "functional" version in the gravitational case.

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Guilherme L. Pimentel, Alexander M. Polyakov, Grigory M. Tarnopolsky. 2016-03-24. Vacuum Decay in CFT and the Riemann-Hilbert problem. https://arxiv.org/abs/1512.06721

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