Vacuum decay in CFT and the Riemann-Hilbert problem

Guilherme L. Pimentel; Alexander M. Polyakov; Grigory M. Tarnopolsky

doi:10.1016/j.nuclphysb.2016.03.039

Vacuum decay in CFT and the Riemann-Hilbert problem

Guilherme L. Pimentel, Alexander M. Polyakov, Grigory M. Tarnopolsky

Physics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English (US)
Pages (from-to)	617-632
Number of pages	16
Journal	Nuclear Physics B
Volume	907
DOIs	https://doi.org/10.1016/j.nuclphysb.2016.03.039
State	Published - Jun 1 2016

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2016.03.039

Cite this

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N2 - 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.

AB - 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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ER -

Vacuum decay in CFT and the Riemann-Hilbert problem

Abstract

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