Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
Abstract
We discuss how to construct anomalyfree chiral gauge theories on the lattice with exact gauge invariance in the framework of a domain wall fermion. Chiral gauge coupling is realized by introducing a fivedimensional gauge field which interpolates between two different fourdimensional gauge fields at boundaries. The fivedimensional dependence is compensated by a local and gaugeinvariant counterterm. The cohomology problem to obtain the counterterm is formulated in (5+1)dimensional space, using the ChernSimons current induced from the fivedimensional Wilson fermion. We clarify the connection to the invariant construction based on the GinspargWilson relation using the overlap Dirac operator. The formulas for the measure and the effective action of Weyl fermions are obtained in terms of fivedimensional lattice quantities.
 Publication:

Physical Review D
 Pub Date:
 April 2002
 DOI:
 10.1103/PhysRevD.65.074504
 arXiv:
 arXiv:heplat/0105032
 Bibcode:
 2002PhRvD..65g4504K
 Keywords:

 11.15.Ha;
 12.38.Gc;
 Lattice gauge theory;
 Lattice QCD calculations;
 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 46 pages, LaTeX, references added and updated, minor text corrections