Energy-momentum tensor in thermal strong-field QED with unstable vacuum

Abstract

The mean value of the one-loop energy-momentum tensor in thermal QED with electric-like background that creates particles from vacuum is calculated. The problem differes essentially from calculations of effective actions (similar to that of Heisenberg--Euler) in backgrounds that do not violate the stability of vacuum. The role of a constant electric background in the violation of both the stability of vacuum and the thermal character of particle distribution is investigated. Restrictions on the electric field and its duration under which one can neglect the back-reaction of created particles are established.

arXiv comment7 pages, Talk presented at Workshop "Quantum Field Theory under the Influence of External Conditions", Leipzig, September 17-21, 2007; introduction extended, version accepted for publication in J.Phys.A

References in corpus (6)

• Vacuum instability in external fields
• QED effective action at finite temperature and density
• Real-Time Thermal Propagators and the QED Effective Action for an External Magnetic Field
• Temperature Expansions for Magnetic Systems
• One-loop energy-momentum tensor in QED with electric-like background
• Effective energy-momentum tensor of strong-field QED with unstable vacuum

Cited by in corpus (6)

• Exactly solvable cases in QED with t-electric potential steps
• Scattering and pair creation by a constant electric field between two capacitor plates
• Finite temperature Schwinger pair production in coexistent electric and magnetic fields
• Regularization, renormalization and consistency conditions in QED with x-electric potential steps
• Loop corrections to the current of created pairs in the lengthy electric pulse
• Calculations of vacuum mean values of spinor field current and energy-momentum tensor in a constant electric background