Interpolation of Non-abelian Lattice Gauge Fields

Abstract

We propose a method for interpolating non-abelian lattice gauge fields to the continuum, or to a finer lattice, which satisfies the properties of (i) transverse continuity, (ii) (lattice) rotation and translation covariance, (iii) gauge covariance, (iv) locality. These are the properties required for use in our earlier proposal for non-perturbative formulation and simulation of chiral gauge theories.

A few typos corrected, a reference and a clarifying comment added. To appear in Nuclear Physics B. 16 pages, LateX, 1 figure. This interpolation scheme is intended for use in our formulation of lattice chiral gauge theory, Nucl. Phys. B455 (1990) 287, hep-ph/9506331

References in corpus (4)

• Lattice Regularization of Gauge Theories Without Loss of Chiral Symmetry
• A Lattice Construction of Chiral Gauge Theories
• Continuum Gauge Fields from Lattice Gauge Fields
• The relation between the waveguide and overlap implementations of Kaplan's domain wall fermions

Cited by in corpus (12)

• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Topology and the axial anomaly in abelian lattice gauge theories
• Lattice Chiral Gauge Theories
• The Standard Model from a New Phase Transition on the Lattice
• The Phase Diagram and Spectrum of Gauge-Fixed Abelian Lattice Gauge Theory
• On the index theorem for Wilson fermions
• A Wilson-Yukawa model with undoubled chiral fermions in 2D
• Simple ansatz for the lattice fermion determinant
• A Wilson-Majorana Regularization for Lattice Chiral Gauge Theories
• A New Lattice Action for Studying Topological Charge
• Lattice Gauge Field Interpolation for Chiral Gauge Theories
• A Wilson-Yukawa model with a chiral spectrum in 2D