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Fermion Pairing Dynamics in the Relativistic Scalar Plasma

E. R. Takano Natti·Chi-Yong Lin·A. F. R de Toledo Piza·P. L. Natti
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Abstract

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.

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E. R. Takano Natti, Chi-Yong Lin, A. F. R de Toledo Piza, P. L. Natti. 1999-07-23. Fermion Pairing Dynamics in the Relativistic Scalar Plasma. https://doi.org/10.1103/physrevd.60.125013

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