Vacuum Decay in CFT and the Riemann-Hilbert problem
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2015
- arXiv:
- arXiv:1512.06721
- Bibcode:
- 2015arXiv151206721P
- Keywords:
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- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 16 pages, 3 figures