Lattice Regularization of Gauge Theories Without Loss of Chiral Symmetry

Abstract

A lattice regularization procedure for gauge theories is proposed in which fermions are given a special treatment such that all chiral flavor symmetries that are free of Adler-Bell-Jackiw anomalies are kept intact. There is no doubling of fermionic degrees of freedom. A price paid for this feature is that the number of fermionic degrees of freedom per unit cell is still infinite, although finiteness of the complete functional integrals can be proven (details are outlined in an Appendix). Therefore, although perhaps of limited usefulness for numerical simulations, our scheme can be applied for studying aspects such as analytic convergence questions, spontaneous symmetry breakdown and baryon number violation in non-Abelian gauge theories.

Correction of formula in Appendix, and extra references added

References in corpus (4)

• Chiral Determinant as an Overlap of Two Vacua
• Infinitely many regulator fields for chiral fermions
• Chiral Fermions on the Lattice
• Continuum Gauge Fields from Lattice Gauge Fields

Cited by in corpus (40)

• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Exact chiral symmetry, topological charge and related topics
• Topology and the axial anomaly in abelian lattice gauge theories
• Aspects of Chiral Symmetry and the Lattice
• A Perturbative Construction of Lattice Chiral Fermions
• A Lattice Construction of Chiral Gauge Theories
• Lattice Chiral Gauge Theories
• On the Overlap Prescription for Lattice Regularization of Chiral Fermions
• Topological Charge and $U(1{)}_A$ Symmetry in the High Temperature Phase of QCD
• Lattice Formulation of the Standard Model
• Multiscale Monte Carlo equilibration: Pure Yang-Mills theory
• Lattice Chiral Fermions
• Noncompact chiral U(1) gauge theories on the lattice
• The Standard Model from a New Phase Transition on the Lattice
• A possible scaling region of chiral fermions on a lattice
• Chiral gauged fermions on a lattice
• Interpolation of Non-abelian Lattice Gauge Fields
• A further study of the possible scaling region of lattice chiral fermions
• Vacuum Polarization and Chiral Lattice Fermions
• A Lattice Formulation of Chiral Gauge Theories
• Scaling properties of multiscale equilibration
• The Phase Diagram and Spectrum of Gauge-Fixed Abelian Lattice Gauge Theory
• Warped Domain Wall Fermions
• Finite-volume analysis of N_f-induced chiral phase transitions
• Multiscale Monte Carlo equilibration: Two-color QCD with two fermion flavors
• Lattice Schwinger Model with interpolated Gauge Fields
• Factorization of Fermion Doubles on the Lattice
• A generalized Ginsparg-Wilson relation
• Progress in lattice chiral gauge theories
• Regularized overlap and the chiral determinant
• A Wilson-Majorana Regularization for Lattice Chiral Gauge Theories
• The overlap passes a chiral dynamical test in two dimensions
• Lattice Chiral Schwinger Model in the Continuum Formulation
• Regularisation of Chiral Gauge Theories
• Lattice Regularization of the Chiral Schwinger Model
• A Wilson-Yukawa model with a chiral spectrum in 2D
• Desperately Seeking Chiral Fermions
• Lattice chiral fermions in the background of non-trivial topology
• Species doubling and effective Lagrangians
• Is the chiral U(1) theory trivial?