arxiv: 1512.06721 · v2 · pith:GTIWNP4Hnew · submitted 2015-12-21 · ✦ hep-th · gr-qc

Vacuum Decay in CFT and the Riemann-Hilbert problem

Guilherme L. Pimentel , Alexander M. Polyakov , Grigory M. Tarnopolsky This is my paper

classification ✦ hep-th gr-qc

keywords two-formvacuumbackgrounddecayfieldsriemann-hilbertaddedboundary

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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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Vacuum Decay in CFT and the Riemann-Hilbert problem

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