Vacuum Persistence and Inversion of Spin Statistics in Strong QED

Abstract

The vacuum persistence can be written as the Bose-Einstein distribution in spinor QED and as the Fermi-Dirac distribution in scalar QED exactly in a constant electric field and approximately in time-varying electric fields. The inverse temperature is determined by the period of charged particle in the Euclidean time and the negative chemical potential by the ratio of the worldline instanton to the inverse temperature. The negativity of chemical potential is due to the vacuum instability under strong electric fields. The inversion of spin statistics in the vacuum persistence is a consequence of the Bogoliubov relations for fermions and bosons.

RevTex, 6 pages, no figure; the relation between the inverse temperature and the periodicity in the Euclidean time clarified; references added; replaced by the version to be published in Phys. Rev. D

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• The Stokes Phenomenon and Quantum Tunneling for de Sitter Radiation in Nonstationary Coordinates
• Acceleration and vacuum temperature
• Phase control of Schwinger pair production by colliding laser pulses
• In-Out Formalism for One-Loop Effective Actions in QED and Gravity
• Electron response to radiation under linear acceleration: classical, QED and accelerated frame predictions
• Vacuum Polarization and Persistence on the Black Hole Horizon
• Probing the Vacuum Structure of Spacetime
• Transient and pre-transient stages in field induced phase transition of vacuum state
• Vacuum Structure and Dark Energy
• Temperature of Electron Fluctuations in an Accelerated Vacuum
• LHC card games: bringing about retrocausality?
• Emergence of periodic in magnetic moment effective QED action
• Lessons from Schwinger Effective Action for Black Holes