Ginsparg-Wilson relation and lattice chiral symmetry in fermionic interacting theories

✍ Scribed by Yuji Igarashi; Hiroto So; Naoya Ukita

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 227 KB
• Volume: 119
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/s0920-5632(03)80465-6

✦ Synopsis

We apply the antifield formalism with an auxiliary method to construction of a lattice chiral symmetry in theories with self-interacting fermions.

The quantum master equation (QME) of the antifield formalism which leads to Ginsparg-Wilson (GW) relation in interacting theories can be solved in a closed form. These solutions are used, after suitable canonical transformations, to discuss lattice chiral symmetry.