Chiral symmetry on the lattice

Abstract

I review some of the difficulties associated with chiral symmetry in the context of a lattice regulator. I discuss the structure of Wilson Fermions when the hopping parameter is in the vicinity of its critical value. Here one flavor contrasts sharply with the case of more, where a residual chiral symmetry survives anomalies. I briefly discuss the surface mode approach, the use of mirror Fermions to cancel anomalies, and finally speculate on the problems with lattice versions of the standard model.

Eleven pages, uuencoded compressed tar file. Contribution to Lat94, 27 Sep -- 1 Oct 1994, Bielefeld, Germany. Also available at http://penguin.phy.bnl.gov/www/papers/61011.ps.Z

References in corpus (8)

• A Method for Simulating Chiral Fermions on the Lattice
• Chiral Fermions from Lattice Boundaries
• Chiral Determinant as an Overlap of Two Vacua
• Infinitely many regulator fields for chiral fermions
• Chiral Fermions on the Lattice
• Chern-Simons Currents and Chiral Fermions on the Lattice
• Removing fermion doublers in chiral gauge theories on the lattice
• Spontaneous Breaking of Flavor Symmetry and Parity in the Nambu-Jona-Lasinio Model with Wilson Fermions

Cited by in corpus (27)

• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit
• Aspects of Chiral Symmetry and the Lattice
• Quark Masses and Chiral Symmetry
• Super Yang-Mills on the lattice with domain wall fermions
• The finite temperature QCD phase transition with domain wall fermions
• Density Matrix Renormalization Group Approach to the Massive Schwinger Model
• The domain wall fermion chiral condensate in quenched QCD
• A possible scaling region of chiral fermions on a lattice
• Computing the Mass Shift of Wilson and Staggered Fermions in the Lattice Schwinger Model with Matrix Product States
• Confinement and Fermion Doubling Problem in Dirac-like Hamiltonians
• Domain wall fermions and applications
• Quantum Computation of Phase Transition in the Massive Schwinger Model
• Chiral gauged fermions on a lattice
• On the renormalization of the bosonized multi-flavor Schwinger model
• A further study of the possible scaling region of lattice chiral fermions
• First-Order Phase Transition of the Schwinger Model with a Quantum Computer
• Domain wall fermion zero modes on classical topological backgrounds
• Fermion-scalar interactions with domain wall fermions
• QCD $\theta$-vacua from the chiral limit to the quenched limit
• Dynamical Wilson fermions and the problem of the chiral limit in compact lattice QED
• The Phase Structure of the Schwinger Model on the Lattice with Wilson Fermions in the Hartree-Fock Approximation
• Temperature in Fermion Systems and the Chiral Fermion Determinant
• New Regularization Using Domain Wall
• Hidden symmetries in two dimensional field theory
• Surface modes and parity violation in Schwinger model on the lattice
• The staggered domain wall fermion method