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Particle production induced by vacuum decay in real time dynamics

Soichiro Hashiba1,2,*, Yusuke Yamada1,†, and Jun’ichi Yokoyama1,2,3,4,‡

  • 1Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan
  • 2Department of Physics, Graduate School of Science, The University of Tokyo, Hongo 7-3-1 Bunkyo-ku, Tokyo 113-0033, Japan
  • 3Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU), UTIAS, WPI, The University of Tokyo, Kashiwa, Chiba 277-8568, Japan
  • 4Trans-scale Quantum Science Institute, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan

  • *sou16.hashiba@resceu.s.u-tokyo.ac.jp
  • yamada@resceu.s.u-tokyo.ac.jp
  • yokoyama@resceu.s.u-tokyo.ac.jp

Phys. Rev. D 103, 045006 – Published 5 February, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.045006

Abstract

We discuss particle production associated with vacuum decay, which changes the mass of a scalar field coupled to a background field which induces the decay. By utilizing the Stokes phenomenon, we can optimally track the time evolution of the mode function and hence calculate particle production properly. In particular, we use real time formalisms for vacuum decay in Minkowski and de Sitter spacetime together with the Stokes phenomenon method. For each case, we consider the flyover vacuum decay model and stochastic inflation, respectively. Within the real time formalism, the particle production can be viewed as that caused by nontrivial external fields. This gives us a novel perspective of the real time formalism of vacuum decay.

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