The Three Dimensional Thirring Model for Small N_f

Abstract

We formulate the three dimensional Thirring model on a spacetime lattice and study it for various even numbers of fermion flavors N_f by Monte Carlo simulation. We find clear evidence for spontaneous chiral symmetry breaking at strong coupling, contradicting the predictions of the 1/N_f expansion. The critical point appears to correspond to an ultra-violet fixed point of the renormalisation group; a fit to a RG-inspired equation of state in the vicinity of the fixed point yields distinct critical exponents for N_f=2 and N_f=4, while no fit is found for N_f=6, suggesting there is a critical number N_fc<6 beyond which no chiral symmetry breaking occurs. The spectrum of the N_f=2 theory is studied; the states examined vary sharply but continuously across the transition.

50 pages LaTeX, including 16 tables and 20 figures - uses style file ldd_art.sty (included)

Cited by in corpus (50)

• Quantum Critical Behaviour in a Graphene-like Model
• Monte Carlo Simulation of the Semimetal-Insulator Phase Transition in Monolayer Graphene
• Non-Compact QED_3 with N_f=1 and N_f=4
• The fermion bag approach to lattice field theories
• Non-compact QED_3 with N_f >=2
• On the Phase Structure of Many-Flavor QED${}_3$
• Quantum critical behavior in three dimensional lattice Gross-Neveu models
• Critical behavior of the (2+1)-dimensional Thirring model
• Fermion bags, duality and the three dimensional massless lattice Thirring model
• Fixed-point structure of low-dimensional relativistic fermion field theories: Universality classes and emergent symmetry
• Critical Flavor Number in the Three Dimensional Thirring Model
• Fermions at Finite Density in (2+1)d with Sign-Optimized Manifolds
• Monte Carlo simulation of monolayer graphene at non-zero temperature
• Lattice Simulation of Diquark Condensation in Dense Matter
• Critical flavour number of the Thirring model in three dimensions
• The Phase Diagram of the Three Dimensional Thirring Model
• The Three Dimensional Thirring Model for N_f=4 and N_f=6
• On the Critical Flavor Number in the 2+1$d$ Thirring Model
• Chiral Symmetry Restoration in Anisotropic QED(3)
• Numerical Portrait of a Relativistic Thin Film BCS Superfluid
• Towards Critical Physics in 2+1d with U(2N)-Invariant Fermions
• Momentum dependence of quantum critical Dirac systems
• Critical Behaviour in the Single Flavor Thirring Model in 2+1d
• Absence of chiral symmetry breaking in Thirring models in 1+2 dimensions
• QED${}_3$ with Dynamical Fermions in an External Magnetic Field
• Chiral Symmetry breaking in Three Dimensional QED
• Logarithmic Corrections to the Equation of State in the SU(2)xSU(2) Nambu - Jona-Lasinio Model
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Benchmark results in the 2D lattice Thirring model with a chemical potential
• Mesonic Wavefunctions in the three-dimensional Gross-Neveu model
• Effects of flavor-symmetry violation from staggered fermion lattice simulations of graphene
• Quantum critical point in the superconducting transition on the surface of topological insulator
• From Domain Wall to Overlap in 2+1d
• N=1 Supersymmetric Spin-Charge Separation in effective gauge theories of planar magnetic superconductors
• Four Fermion Models at Non-Zero Density
• Lattice-Constrained Parametrizations of Form Factors for Semileptonic and Rare Radiative B Decays
• Symmetries of Thirring models on 3d lattices
• The Planar Thirring Model with Kähler-Dirac Fermions
• The Perturbative Gross Neveu Model Coupled to a Chern-Simons Field: A Renormalization Group Study
• Four Fermion Field Theories and the Chern-Simons Field: A Renormalization Group Study
• Hamiltonian models of lattice fermions solvable by the meron-cluster algorithm
• Monte Carlo Study of Strongly-Interacting Degenerate Fermions: a Model for Voltage-Biased Bilayer Graphene
• Quantum Phase Transition in a Graphene Model
• The relevance of the three dimensional Thirring coupling at finite temperature and density
• Cascade of phase transitions in a planar Dirac material
• Chiral universality class of the normal-superconducting and the exciton condensation transition on the surface of topological insulator
• Spectroscopy in the 2+1$d$ Thirring Model with $N=1$ Domain Wall Fermions
• Evaluation of the Bilinear Condensate of the Planar Thirring Model in the Strongly Coupled Region
• Transition in the spectral gap of the massless overlap Dirac operator coupled to abelian fields in three dimensions
• Strong Interaction Effects at a Fermi Surface in a Model for Voltage-Biased Bilayer Graphene