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Vacuum decay in CFT and the Riemann-Hilbert problem

Author(s): Pimentel, Guilherme L; Polyakov, Alexander M; Tarnopolsky, Grigory M

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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. Published by Elsevier B.V.
Publication Date: Jun-2016
Electronic Publication Date: 5-Apr-2016
Citation: Pimentel, Guilherme L, Polyakov, Alexander M, Tarnopolsky, Grigory M. (2016). Vacuum decay in CFT and the Riemann-Hilbert problem. NUCLEAR PHYSICS B, 907 (617 - 632. doi:10.1016/j.nuclphysb.2016.03.039
DOI: doi:10.1016/j.nuclphysb.2016.03.039
ISSN: 0550-3213
EISSN: 1873-1562
Pages: 617 - 632
Type of Material: Journal Article
Journal/Proceeding Title: NUCLEAR PHYSICS B
Version: Final published version. This is an open access article.



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