Nonperturbative Yukawa theory at finite density and temperature

Abstract

In-medium Yukawa theory is part of the thermodynamics of the Standard Model of particle physics and is one of the main building blocks of most effective field theories of fermionic systems. By computing its pressure we investigate the nonperturbative thermodynamics at finite temperature and density using the optimized perturbation theory (OPT) framework. Our calculations are valid for arbitrary fermion and scalar masses, temperature, chemical potential, and not restricted to weak coupling. The model is considered in the presence as well as in the absence of condensates. Comparison with nonperturbative results shows that second order perturbation theory (PT) fails in the first case but performs rather well when condensates are absent, even at high-temperature regimes.

18 pages, 15 figures; v2: references added, improved discussion in the Conclusions, matches published version

References in corpus (8)

• Color superconductivity in dense quark matter
• Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model
• Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
• Asymptotically Improved Convergence of Optimized Perturbation Theory in the Bose-Einstein Condensation Problem
• Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
• Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N
• Applicability of the Linear delta Expansion for the lambda phi^4 Field Theory at Finite Temperature in the Symmetric and Broken Phases
• Perturbative Yukawa theory at finite density: the role of masses and renormalization group flow at two loops