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

7 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

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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.",

author = "Pimentel, {Guilherme L.} and Polyakov, {Alexander M.} and Tarnopolsky, {Grigory M.}",

note = "Funding Information: We thank T. Banks, D. Baumann, J. Cardy, G. Dunne, R. Flauger, A. Kisil, I. Klebanov, C. Mafra, N. Nekrasov, H. Osborn, M. Rangamani, H. Reall, S. Shenker, H. Verlinde and A. Zhiboedov for helpful discussions. We also thank D. Baumann for comments on a draft. G.L.P. thanks the Aspen Center for Physics (supported in part by NSF Grant PHY10-66293 ) and the University of Amsterdam for their hospitality. He also thanks the KITP for hospitality during the program {\textquoteleft}Quantum Gravity Foundations: UV to IR{\textquoteright}. Research at the KITP is supported in part by the National Science Foundation under Grant No. NSF PHY11-25915 . G.L.P. acknowledges support from a Starting Grant of the European Research Council ( ERC STG grant 279617 ). Thework of A.M.P. and G.M.T. was supported in part by the US NSF under Grant No. PHY-1314198 . Publisher Copyright: {\textcopyright} 2016.",

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AU - Polyakov, Alexander M.

AU - Tarnopolsky, Grigory M.

N1 - Funding Information: We thank T. Banks, D. Baumann, J. Cardy, G. Dunne, R. Flauger, A. Kisil, I. Klebanov, C. Mafra, N. Nekrasov, H. Osborn, M. Rangamani, H. Reall, S. Shenker, H. Verlinde and A. Zhiboedov for helpful discussions. We also thank D. Baumann for comments on a draft. G.L.P. thanks the Aspen Center for Physics (supported in part by NSF Grant PHY10-66293 ) and the University of Amsterdam for their hospitality. He also thanks the KITP for hospitality during the program ‘Quantum Gravity Foundations: UV to IR’. Research at the KITP is supported in part by the National Science Foundation under Grant No. NSF PHY11-25915 . G.L.P. acknowledges support from a Starting Grant of the European Research Council ( ERC STG grant 279617 ). Thework of A.M.P. and G.M.T. was supported in part by the US NSF under Grant No. PHY-1314198 . Publisher Copyright: © 2016.

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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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Vacuum decay in CFT and the Riemann-Hilbert problem

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