On quantization in background scalar fields

Abstract

We consider (0+1) and (1+1) dimensional Yukawa theory in various scalar field backgrounds, which are solving classical equations of motion: ${\ddot{\varphi }}_{cl}=0$ or $\square {\varphi }_{cl}=0$, correspondingly. The (0+1)--dimensional theory we solve exactly. In (1+1)--dimensions we consider background fields of the form ${\varphi }_{cl}=Et$ and ${\varphi }_{cl}=Ex$, which are inspired by the constant electric field. Here $E$ is a constant. We study the backreaction problem by various methods, including the dynamics of a coherent state. We also calculate loop corrections to the correlation functions in the theory using the Schwinger--Keldysh diagrammatic technique.

54 pages, 12 figures. v3: mistake in the section 4 is corrected, new appendix is added

References in corpus (20)

• Introduction to Nonequilibrium Quantum Field Theory
• Non-Equilibrium Quantum Fields in the Large N Expansion
• Infrared Sensitivity of Unstable Vacua
• Lecture notes on interacting quantum fields in de Sitter space
• Hawking radiation and secularly growing loop corrections
• Characters of different secular effects in various patches of de Sitter space
• Many-body theory of non-equilibrium systems
• Interacting Field Theories in de Sitter Space are Non-Unitary
• Infrared dynamics of massive scalars from the complementary series in de Sitter space
• Wick's Theorem at Finite Temperature
• Secularly growing loop corrections in strong electric fields
• De Sitter space and perpetuum mobile
• Dynamical Casimir effect and surprises with loop corrections to it
• Comments on QED with background electric fields
• A quantum heating as an alternative of reheating
• Massless scalar field in two-dimensional de Sitter universe
• Comments on the adiabatic theorem
• Massive quantum scalar field theory in the presence of moving mirrors
• Out of equilibrium two-dimensional Yukawa theory in a strong scalar wave background
• Analytic regularization of the Yukawa Model at Finite Temperature

Cited by in corpus (8)

• Particle creation in nonstationary large N quantum mechanics
• Dynamical Casimir effect in nonlinear vibrating cavities
• Nonlinear dynamical Casimir effect at weak nonstationarity
• Characters, quasinormal modes, and Schwinger pairs in $d{S}_2$ with flux
• Secularly growing loop corrections in scalar wave background
• Loop corrections to a cosmological particle creation
• Detecting the massive bosonic zero-mode in expanding cosmological spacetimes
• Currents of created pairs in strong electric fields