Small oscillations of a chiral Gross-Neveu system
P.L. Natti, A.F.R. de Toledo Piza
TL;DR
This paper analyzes small oscillations in a chiral Gross-Neveu system using RPA approximation, providing analytical solutions for one-body dynamics and exploring bound state conditions.
Contribution
It offers an analytical solution for the time evolution of one-body variables in a chiral Gross-Neveu system within the RPA approximation, advancing understanding of its dynamical behavior.
Findings
Analytical solutions for one-body dynamical variables
Conditions for bound state existence
Insights into two-fermion physics
Abstract
We study the small oscillations regime (RPA approximation) of the time-dependent mean-field equations, obtained in a previous work, which describe the time evolution of one-body dynamical variables of a uniform Chiral Gross-Neveu system. In this approximation we obtain an analytical solution for the time evolution of the one-body dynamical variables. The two-fermion physics can be explored through this solution. The condition for the existence of bound states is examined.
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