Vacuum decay in CFT and the Riemann–Hilbert problem
Copyright policy )Vacuum decay in CFT and the Riemann–Hilbert problem
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.
16 pages, 3 figures
- THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE United Kingdom
- University of Cambridge United Kingdom
- National Oceanic and Atmospheric Administration United States
- Princeton University United States
- University of Amsterdam Netherlands
High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Riemann-Hilbert problems in context of PDEs, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), 530, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, General Relativity and Quantum Cosmology, Yang-Mills and other gauge theories in quantum field theory, Gravitational interaction in quantum theory
High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Riemann-Hilbert problems in context of PDEs, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), 530, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, General Relativity and Quantum Cosmology, Yang-Mills and other gauge theories in quantum field theory, Gravitational interaction in quantum theory
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