Treating divergence in quark matter by using energy projectors

Autor: Huang, Guojun, Zhuang, Pengfei
Rok vydání: 2021
Předmět:
Zdroj: Phys. Rev. D 104, 074001 (2021)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.104.074001
Popis: We calculate gluon self-energy using quark energy projectors in a general quark-gluon plasma. By separating the quark field into a positive- and a negative-energy mode, the quark loop constructed with the same mode is always convergent, and the divergence appears only in the mixed loop with different modes and is medium independent. After removing the divergence in vacuum, we obtain the one-loop gluon self-energy at finite temperature, chemical potential and quarks mass without approximation. With the method of quark loop resummation, we calculate non-perturbatively the gluon Debye mass and thermodynamic potential. In the limit of small gluon momentum in comparison with temperature, chemical potential and quark mass, our calculation comes back to the known HTL/HDL results in literature.
Comment: 10 pages, 2 figures
Databáze: arXiv