Elementary Excitations of a Relativistic Scalar Plasma System

TL;DR

This paper studies the elementary excitations in a relativistic scalar plasma system, deriving RPA equations and revealing bound states and excitation spectra through linearized equations.

Contribution

It introduces a novel application of RPA to a relativistic scalar plasma, providing explicit solutions and identifying bound states in the phase diagram.

Findings

Existence of bound states in certain phase regions

Derivation of closed-form RPA equations for the model

Identification of one-meson and two-fermion excitation modes

Abstract

We investigate the physics of elementary excitations for the so called relativistic scalar plasma system. Following the standard many-body procedure we have obtained the RPA equations for this model by linearizing the TDHFB equations of motion around equilibrium and shown that these oscillation modes give one-meson and two-fermion state of the theory. The resulting equations have a closed solution, from which one can examinate the spectrum of excitation modes. In partticular, our results indicate existence of bound state for certain region of phase diagram.