Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density
arXiv:hep-th/0305162 · doi:10.1016/j.physletb.2003.06.005
Abstract
The Renormalization Group flow equations obtained by means of a proper time regulator are used to analyze the restoration of the discrete chiral symmetry at non-zero density and temperature in the Gross-Neveu model in d=2+1 dimensions. The effects of the wave function renormalization of the auxiliary scalar field on the transition have been studied. The analysis is performed for a number of fermion flavors N_f=12 and the limit of large N_f is also considered. The results are compared with those coming from lattice simulations.
arXiv commentLatex file, 12 pages, 2 eps figures, minor changes, added references, published version
References in corpus (37)
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- Optimised Renormalisation Group Flows
- Lattice determination of the critical point of QCD at finite T and μ
- A new method to study lattice QCD at finite temperature and chemical potential
- Exact Renormalization Group Equations. An Introductory Review
- Effective Action for the Quark-Meson Model
- Four - Fermi Theories in Fewer Than Four Dimensions
- Completeness and consistency of renormalisation group flows
- Two flavor chiral phase transition from nonperturbative flow equations
- On the Connection Between Momentum Cutoff and Operator Cutoff Regularizations
- Derivative expansion and renormalisation group flows
- Wilsonian flows and background fields
- Phase transition and critical behaviour of the d=3 Gross-Neveu model
- Critical exponents of the Gross-Neveu model from the effective average action
- Renormalization Group Flow and Equation of State of Quarks and Mesons
- Towards an accurate determination of the critical exponents with the Renormalization Group flow equations
- Perturbation theory and renormalisation group equations
- The Four-Fermi Model in Three Dimensions at Non-Zero Density and Temperature
- Predictive power of renormalisation group flows: a comparison
- Improving the Renormalization Group approach to the quantum-mechanical double well potential
- On the Convergence of the Expansion of Renormalization Group Flow Equation
- Operator Cutoff Regularization and Renormalization Group in Yang-Mills Theory
- Proper time regulator and Renormalization Group flow
- Chiral symmetry restoration in the three-dimensional four-fermion model at non-zero temperature and density
- The Chiral Phase Transition at High Baryon Density from Nonperturbative Flow Equations
- Two loop results from the derivative expansion of the blocked action
- Wegner-Houghton equation and derivative expansion
- The U(1) Gross-Neveu Model at Non-Zero Chemical Potential
- Non-perturbative renormalization group approach for a scalar theory in higher-derivative gravity
- Renormalization Group Flow Equation at Finite Density
- Perturbative and non-perturbative aspects of the proper time renormalization group
- Application of the Heat Kernel Method to the Constituent Quark Model at Finite Temperature
- Renormalization Group Flow in large N_c
- Dynamics of the chiral phase transition in the 2+1 dimensional Gross-Neveu model
- Four Fermion Models at Non-Zero Density
- Fixed point analysis of a scalar theory with an external field
- Chiral symmetry breaking in the Wegner-Houghton approach
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- Fermion Interactions and Universal Behavior in Strongly Interacting Theories
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- Asymptotic safety: a simple example
- Ising exponents from the functional renormalisation group
- Lectures on renormalization and asymptotic safety
- Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model
- Many-flavor Phase Diagram of the (2+1)d Gross-Neveu Model at Finite Temperature
- The Staggered Fermion for the Gross-Neveu Model at Non-zero Temperature and Density