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 (35)

• Color superconductivity in dense quark matter
• The Quark-Gluon Plasma in Equilibrium
• Chiral Phase Transition within Effective Models with Constituent Quarks
• Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma. I. Entropy and density
• Small, Dense Quark Stars from Perturbative QCD
• Effective Field Theory of Nuclear Forces
• Temperature dependence of antiferromagnetic order in the Hubbard model
• Addendum to paper: Strong-Coupling Behavior of ${\varphi }^4$-Theories and Critical Exponents [Phys. Rev. D 57, 2264 (1998)]
• Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model
• First-Order Chiral Phase Transition in High-Energy Collisions: Can Nucleation Prevent Spinodal Decomposition?
• Transition Temperature for Weakly Interacting Homogeneous Bose Gases
• The Equation of State for Dense QCD and Quark Stars
• Convergent resummed linear delta expansion in the critical O(N) (ϕ_i^2)^2_{3d} model
• A new improved optimization of perturbation theory: applications to the oscillator energy levels and Bose-Einstein critical temperature
• Strong-Coupling ${\varphi }^4$-Theory in $4-\epsilon$ Dimensions and Critical Exponents
• New Class of Compact Stars at High Density
• Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
• Chiral Fluid Dynamics and Collapse of Vacuum Bubbles
• High Temperature Resummation in the Linear $\delta$-Expansion
• Chiral phase transition in an expanding quark antiquark plasma
• Asymptotically Improved Convergence of Optimized Perturbation Theory in the Bose-Einstein Condensation Problem
• Convergence of the Linear Delta Expansion in the Critical O(N) Field Theory
• Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
• First-order chiral phase transition may naturally lead to the ``quenched'' initial condition and strong soft-pion fields
• Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N
• The Chiral Fermion Meson Model at Finite Temperature
• Applicability of the Linear delta Expansion for the lambda phi^4 Field Theory at Finite Temperature in the Symmetric and Broken Phases
• On the Convergence of the Linear Delta Expansion for the Shift in T_c for Bose-Einstein Condensation
• Antiferromagnetic gap in the Hubbard model
• Coherent amplification of classical pion fields during the cooling of droplets of quark plasma
• Spontaneous symmetry breaking in the colored Hubbard model
• Perturbative Yukawa theory at finite density: the role of masses and renormalization group flow at two loops
• Optimized $\delta$ expansion for the Walecka model
• Exact 1/N and Optimized Perturbative Evaluation of mu_c for Homogeneous Interacting Bose Gases
• Fermion mass and the pressure of dense matter

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