Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2001-11-21
Nucl.Phys.Proc.Suppl. 106 (2002) 763-765
Physics
High Energy Physics
High Energy Physics - Lattice
Lattice2001(chiral), 3 pages
Scientific paper
Based on the Ginsparg-Wilson relation, a gauge invariant formulation of electroweak SU(2)xU(1) gauge theory on the lattice is considered. If the hypercharge gauge coupling is turned off in the vacuum sector of the U(1) gauge fields, the theory consists of four left-handed SU(2) doublets and it is possible, as in vector-like theories, to make the fermion measure defined globally in all topological sectors of SU(2). We then try to incorporate U(1) gauge field, following L\"uscher's reconstruction theorem. The global integrability condition is proved for ``gauge loops'' in the space of the U(1) gauge fields with arbitrary SU(2) gauge field fixed in the background. For ``non-gauge loops'', however, the proof is given so far only for the classical SU(2) instanton backgrounds.
Kikukawa Yoshio
Nakayama Yoichi
Suzuki Hiroshi
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