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arXiv · 2104.11661

Size-effect at finite temperature in a quark-antiquark effective model in phase space

G. X. A. Petronilo·R. G. G. Amorim·S. C. Ulhoa·A. F. Santos·A. E. Santana·Faqir C. Khanna
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Abstract

A quark-antiquark effective model is studied in a toroidal topology at finite temperature. The model is described by a Schrödinger equation with linear potential which is embedded in a torus. The following aspects are analysed: (i) the nonclassicality structure using the Wigner function formalism; (ii) finite temperature and size-effects are studied by a generalization of Thermofield Dynamics written in phase space; (iii) in order to include the spin of the quark, Pauli-like Schrödinger equation is used; (iv) analysis of the size-effect is considered to observe the fluctuation in the ground state. The size effect goes to zero at zero, finite and high temperatures. The results emphasize that the spin is a central aspect for this quark-antiquark effective model.

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G. X. A. Petronilo, R. G. G. Amorim, S. C. Ulhoa, A. F. Santos, A. E. Santana, Faqir C. Khanna. 2021-04-23. Size-effect at finite temperature in a quark-antiquark effective model in phase space. https://doi.org/10.1142/s0217751x21501219

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