Finite size corrections in two dimensional gauge theories and a quantitative chiral test of the overlap

Abstract

An argument is presented for a certain universality of finite size corrections in two dimensional gauge theories. In the abelian case a direct calculation is carried out for a particular chiral model. The analytical result confirms the above universality and that the 't Hooft vertex previously measured using the overlap smoothly approaches the correct continuum limit within statistical errors.

11 pages, 1 figure, TeX, epsf

Cited by in corpus (32)

• Exactly massless quarks on the lattice
• Vector like gauge theories with almost massless fermions on the lattice
• Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit
• Overlap in odd dimensions
• Chiral Symmetry, Quark Mass, and Scaling of the Overlap Fermions
• Geometrical aspects of chiral anomalies in the overlap
• Gap Domain Wall Fermions
• Chiral Logs in Quenched QCD
• Exact Chiral Symmetry on the Lattice
• Domain wall fermions in vector gauge theories
• Monte Carlo evaluation of a fermion number violating observable in 2D
• Chiral Properties of Pseudoscalar Mesons on a Quenched $20^4$ Lattice with Overlap Fermions
• Chiral Lattice Gauge Theories and The Strong Coupling Dynamics of a Yukawa-Higgs Model with Ginsparg-Wilson Fermions
• Calculation of the strange quark mass using domain wall fermions
• Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
• Global obstructions to gauge-invariance in chiral gauge theory on the lattice
• Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model
• Overlap formula for the chiral multiplet
• Lattice chirality and the decoupling of mirror fermions
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• CPT anomaly in two-dimensional chiral U(1) gauge theories
• Solving the local cohomology problem in U(1) chiral gauge theories within a finite lattice
• A simple construction of fermion measure term in U(1) chiral lattice gauge theories with exact gauge invariance
• A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance
• Renormalizability of a lattice chiral fermion in the overlap formulation
• A numerical solution to the local cohomology problem in U(1) chiral gauge theories
• Weak coupling expansion of a chiral gauge theory on a lattice in the overlap formulation
• Lattice perturbation theory in the overlap formulation for the Yukawa and gauge interactions
• Comments on ``Lattice Formulation of the Standard Model'' by Creutz. et. al
• The overlap passes a chiral dynamical test in two dimensions
• Lattice chiral fermions in the background of non-trivial topology