Vacuum decay in CFT and the Riemann-Hilbert problem

  title={Vacuum decay in CFT and the Riemann-Hilbert problem},
  author={G. Pimentel and A. Polyakov and G. Tarnopolsky},
  journal={Nuclear Physics},
  • G. Pimentel, A. Polyakov, G. Tarnopolsky
  • Published 2015
  • Physics
  • Nuclear Physics
  • 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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