Thermal corrections to the gluon magnetic Debye mass

Autor: Cesareo A. Dominguez, Marcelo Loewe, R. Zamora, Jorge David Castaño-Yepes, Alejandro Ayala, D. Manreza-Paret, Saul Hernandez-Ortiz, Luis Hernández
Rok vydání: 2020
Předmět:
Zdroj: Revista Mexicana de Física. 66:446-461
ISSN: 2683-2224
0035-001X
DOI: 10.31349/revmexfis.66.446
Popis: We compute the gluon polarization tensor in a thermo-magnetic environment in the strong magnetic field limit at zero and high temperature. The magnetic field effects are introduced using Schwinger's proper time method. Thermal effects are computed in the HTL approximation. At zero temperature, we reproduce the well-known result whereby for a non-vanishing quark mass, the polarization tensor reduces to the parallel structure and its coefficient develops an imaginary part corresponding to the threshold for quark-antiquark pair production. This coefficient is infrared finite and simplifies considerably when the quark mass vanishes. Keeping always the field strength as the largest energy scale, in the high temperature regime we analyze two complementary hierarchies of scales: $q^2\ll m_f^2\ll T^2$ and $m_f^2\ll q^2\ll T^2$. In the latter, we show that the polarization tensor is infrared finite as $m_f$ goes to zero. In the former, we discuss the thermal corrections to the magnetic Debye mass.
Comment: 17 pages, 3 figures. Version published in Rev. Mex. Fis
Databáze: OpenAIRE