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Small oscillations of a chiral Gross-Neveu system
Phys. Rev. D 55, 3403 – Published 15 March, 1997
DOI: https://doi.org/10.1103/PhysRevD.55.3403
Abstract
We study the small oscillations regime (random-phase 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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