Vacuum decay in CFT and the Riemann-Hilbert problem

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

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 languageEnglish (US)
Pages (from-to)617-632
Number of pages16
JournalNuclear Physics B
StatePublished - Jun 1 2016

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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