TY - JOUR
T1 - Vacuum decay in CFT and the Riemann-Hilbert problem
AU - Pimentel, Guilherme L.
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.
PY - 2016/6/1
Y1 - 2016/6/1
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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U2 - 10.1016/j.nuclphysb.2016.03.039
DO - 10.1016/j.nuclphysb.2016.03.039
M3 - Article
AN - SCOPUS:84964402826
SN - 0550-3213
VL - 907
SP - 617
EP - 632
JO - Nuclear Physics B
JF - Nuclear Physics B
ER -