Work

Self-Energy approximation for the running coupling constant in thermal ϕ4 theory using Imaginary Time Formalism

Year: 2025

Type: article

Abstract: A bstract We investigate the temperature dependence of the mass scale, running coupling constant, and running mass in thermal ϕ 4 theory using the Imaginary Time Formalism (ITF). Employing dimensional regularization and the minimal subtraction scheme, we compute the self-energy up to two-loop order. We introduce a novel Self-Energy Approximation (SEA), which equates the thermal and non-thermal self-energies in the zero external momentum limit. This approximation, combined with the renormalization group equation, imposes constraints that naturally lead to a temperature-dependent mass scale, μ ( T ), ensuring consistent behavior of the running coupling constant and running mass at finite temperatures. Using these results, the free energy density is evaluated at two-loop order and compared with the quasiparticle model.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep04(2025)178

Authors: K. Arjun, A. M. Vinodkumar, Vishnu Mayya Bannur, Munshi G. Mustafa

Institutions: University of Calicut, KSCSTE-Srinivasa Ramanujan Institute for Basic Sciences, Indian Institute of Technology Bombay

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Indian Institute of Technology Bombay, Kerala State Council for Science, Technology and Environment

OpenAlex ID: W4409769475