Renormalization of 2PI resummation: a renormalization scheme approach

Abstract

A practical method is suggested for performing renormalized 2PI resummation at finite temperature using specific momentum dependent renormalization schemes. In this method there is no need to solve Bethe-Salpeter equations for 2PI resummation. We examine the consistency of such schemes in the paper. The proposed method is used to perform a two-loop renormalized 2PI resummation in the finite temperature Phi^4 model.

14 pages revtex, 8 figures

References in corpus (21)

• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• Screened Perturbation Theory
• Nonperturbative renormalization for 2PI effective action techniques
• Renormalization in Self-Consistent Approximations schemes at Finite Temperature I: Theory
• Renormalization in Self-Consistent Approximation schemes at Finite Temperature III: Global Symmetries
• Renormalization of Self-consistent Approximation schemes Finite Temperature II: Applications to the Sunset Diagram
• Renormalization of Φ-derivable approximations in scalar field theories
• Renormalizability of Phi-derivable approximations in scalar phi^4 theory
• The Plasmon in Hot ${\varphi }^4$ Theory
• Renormalizing the Schwinger-Dyson equations in the auxiliary field formulation of $\lambda {\varphi }^4$ field theory
• Environmentally Friendly Renormalization
• Nonperturbative calculation of the shear viscosity in hot phi**4 theory in real time
• 2PI effective action for gauge theories: Renormalization
• Thermodynamics of O(N) sigma models: 1/N corrections
• Ultraviolet cascade in the thermalization of the classical phi^4 theory in 3+1 dimensions
• Summation and renormalization of bubble graphs to all orders
• Nonperturbative renormalization of Phi-derivable approximations in theories with fermions
• Renormalization and resummation in finite temperature field theories
• The renormalized and Renormalization-Group invariant Hartree-Fock approximation
• Phantom field fluctuation induced Higgs effect
• Renormalization in momentum dependent resummations

Cited by in corpus (12)

• 2PI functional techniques for gauge theories: QED
• Renormalisability of the 2PI-Hartree approximation of multicomponent scalar models in the broken symmetry phase
• Renormalised nonequilibrium quantum field theory: scalar fields
• Hadron melting and QCD thermodynamics
• Local potential approximation for the renormalization group flow of fermionic field theories
• Counterterm resummation for 2PI-approximation in constant background
• Non-universal lower bound for the shear viscosity to entropy density ratio
• Resummations in the Bloch-Nordsieck model
• Representation of spectral functions and thermodynamics
• Padé approximants and analytic continuation of Euclidean Phi-derivable approximations
• Broken symmetry phase solution of the phi^4 model at two-loop level of the Phi-derivable approximation
• Renormalization and resummation in the O(N) model