Inertial mechanism: Dynamical mass as a source of particle creation

Abstract

A kinetic theory of vacuum particle creation under the action of an inertial mechanism is constructed within a nonpertrubative dynamical approach. At the semi-phenomenological level, the inertial mechanism corresponds to quantum field theory with a time-dependent mass. At the microscopic level, such a dependence may be caused by different reasons: The non-stationary Higgs mechanism, the influence of a mean field or condensate, the presence of the conformal multiplier in the scalar-tensor gravitation theory etc. In what follows, a kinetic theory in the collisionless approximation is developed for scalar, spinor and massive vector fields in the framework of the oscillator representation, which is an effective tool for transition to the quasiparticle description and for derivation of non-Markovian kinetic equations. Properties of these equations and relevant observables (particle number and energy densities, pressure) are studied. The developed theory is applied here to describe the vacuum matter creation in conformal cosmological models and discuss the problem of the observed number density of photons in the cosmic microwave background radiation. As other example, the self-consistent evolution of scalar fields with non-monotonic self-interaction potentials (the Wpotential and Witten-Di Vecchia -Veneziano model) is considered. In particular, conditions for appearance of tachyonic modes and a problem of the relevant definition of a vacuum state are considered.

Transient and pretransient stages in a field induced phase transition of the vacuum state

“…Using the quantum kinetic equations in the form of 3-coupled ordinary differential equations [25,27,29,32,36] for the single particle distribution function f (p,…”

“…For the one dimensional spatially uniform time dependent electric, the equivalence between these representations of the kinetic equation was shown in [28]. We use here the quasi-particle representation of the quantum kinetic equation (QKE) formalism [25,26,[29][30][31][32] for the evolution of the quasi-particle vacuum in the presence of a time dependent electric field in the mean field approximation wherein the collisional effects of the created particles and back reaction force on the external electric field are neglected.…”

Nonequilibrium meson production in strong fields

“…Strong and time-dependent fields govern also the particle production in ultrarelativistic heavy-ion collisions. Here the kinetic theory approach has been developed, e.g., for studying the role of time-dependent masses (the socalled "inertial mechanism" [3]) in the course of the chiral symmetry breaking transition for pion production [4] and photon production [5]. In the present work we develop the kinetic approach to nonequilibrium pion production in a time-dependent chiral symmetry breaking homogeneous field and investigate the question to what extent the low-momentum pion enhancement observed in heavy-ion collisions at CERN -LHC being discussed as Bose-Einstein condensation of pions [6] can be described within this formalism.…”

A novel quantum field approach to photoexcited insulators

“…Applications of QED to analysis of light-matter interaction to a large extent are based on fundamentals developed by Schwinger [4], Schmidt [5] and the mathematical techniques [6][7][8], where the model system is characterized by macroscopic dispersion relations for noninteracting electrons and holes (however, correlated in momentum and energy) [9][10][11].…”

“…is the amplitude of interband transitions [8] and each of equations (33)-(36) describe some mixture of positive and negative energy states [22].…”