Quantum fluctuations of the relativistic scalar plasma in the Hartree-Vlasov approximation (original) (raw)

Covariant Wigner function approach for relativistic quantum plasmas

Physical Review A, 1978

In this paper a general formalism for the treatment of relativistic quantum plasmas is given. It is manifestly covariant and rests on the use of a (covariant) relativistic Wigner. function. Here it is applied to the particular case where spin effects are neglected (in most astrophysical applications this is a good approximation): a relativistic quantum Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy is given. The Vlasov approximation (Hartree approximation) is then considered and dispersion relations are obtained. Limiting cases (relativistic nonquantum high-temperature plasma @nd relativistic degenerate zero-temperature plasma) obtained previously by other authors are found anew. Finally, the formalism given appears to be much simpler and physically more transparent than many-body techniques used elsewhere,

Fermion pairing dynamics in the relativistic scalar plasma

Physical Review D, 1999

Using many-body techniques we obtain the time-dependent Gaussian approximation for interacting fermion-scalar field models. This method is applied to an uniform system of relativistic spin-1/2 fermion field coupled, through a Yukawa term, to a scalar field in 3+1 dimensions, the so-called quantum scalar plasma model. The renormalization for the resulting Gaussian mean-field equations, both static and dynamical, are examined and initial conditions discussed. We also investigate solutions for the gap equation and show that the energy density has a single minimum.

Initial-value problem in quantum field theory: an application to the relativistic scalar plasma

Physical Review D, 1998

A framework to describe the real-time evolution of interacting fermion-scalar field models is set up. On the basis of the general dynamics of the fields, we derive formal equations of kinetic-type to the set of one-body dynamical variables. A time-dependent projection technique is used then to generate a nonperturbative mean-field expansion leading to a set of self-consistent equations of motion for these observable, where the lowest order corresponds to the Gaussian approximation. As an application, we consider an uniform system of relativistic spin-1/2 fermion field coupled, through a Yukawa term, to a scalar field in 3+1 dimensions, known as quantum scalar plasma. The renormalizability for the Gaussian mean-field equations, both static and dynamical, are examined and initial conditions discussed. We also investigate solutions for the gap equation and show that the energy density has a single minimum.

Some remarks on the thermal and vacuum fluctuations of a massive scalar field

2001

Thermal fluctuations of a massive scalar field in the Rindler wedge have been recently obtained. As a by product, the Minkowski vacuum fluctuations seen by a uniformly accelerated observer have been determined and confronted with the corresponding Minkowski thermal fluctuations of the same field, seen by an inertial observer. Since some of the calculations of this previous work have not been detailed on it, and they present some important subtleties , they are explicitly done here. These subtleties have to do with the leading order behaviour of certain parameter dependent integrals. Some of the leading order expansions are derived using the Riemann-Lebesgue lemma.

Sudden change in the bulk properties of nucleon-antinucleon plasma at a certain temperature in the relativistic Hartree approximations

Physical Review D, 1985

The purpose of this paper is to study the bulk properties of nucleon-antinucleon plasma as a function of temperature in the relativistic Hartree approximation which takes into account the contribution of vacuum-fluctuation energy using both Walecka's model and the chirally symmetric a model. This paper is an extension of previous work of Theis et al. based on Walecka's model and carried out in the mean-field-theory approximation. In our calculation the effective nucleon mass M* can be both greater and less than the free-nucleon mass M. When we consider the M* < M branch of the solution, we find that there is a peak in the specific heat of the plasma divided by its limiting analytic Stefan-Boltzmann form around T=225 MeV in the case of Walecka's model. This fact may be interpreted by saying that the hadron phase of nuclear matter alone undergoes an abrupt change in the bulk properties around p,-0 and T=225 MeV. We also find the surprising result that the energy density corresponding to the M * > M branch of the solution is less than that of the M * < M branch of solution beyond a certain temperature. In the case of the a model, the solution for nonzero M * < M does not exist beyond a certain temperature.

Kinetic theory of chiral relativistic plasmas and energy density of their gauge collective excitations

Physical Review D, 2014

We use the recently developed kinetic theory with Berry curvature to describe the fermions and antifermions of a chiral relativistic plasma. We check that this transport approach allows to reproduce the chiral anomaly equation of relativistic quantum field theory at finite temperature. We also check that it allows to describe the anomalous gauge polarization tensor that appears in the Hard Thermal (and/or Dense) effective field theory. We also construct a Hamiltonian associated to the gauge collective modes of the chiral relativistic plasma, valid in the case of small couplings or weak fields, which can be the basis for the study of their dynamical evolution.

Kinetic Theory of Quantum Electrodynamic Plasma in a Strong Electromagnetic Field: I. The Covariant Formalism

Theoretical and Mathematical Physics

A covariant kinetic equation for the matrix Wigner function is derived in the mean-field approximation from a general kinetic equation for the fermionic subsystem of a quantum electrodynamic plasma. We show that in the semiclassical limit, the equations for the components of the Wigner function can be transformed into closed kinetic equations for the Lorentz-invariant distribution functions of particles and antiparticles.