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Title: Minimal Doubling and Point Splitting

Minimally-doubled chiral fermions have the unusual property of a single local field creating two fermionic species. Spreading the field over hypercubes allows construction of combinations that isolate specific modes. Combining these fields into bilinears produces meson fields of specific quantum numbers. Minimally-doubled fermion actions present the possibility of fast simulations while maintaining one exact chiral symmetry. They do, however, introduce some peculiar aspects. An explicit breaking of hyper-cubic symmetry allows additional counter-terms to appear in the renormalization. While a single field creates two different species, spreading this field over nearby sites allows isolation of specific states and the construction of physical meson operators. Finally, lattice artifacts break isospin and give two of the three pseudoscalar mesons an additional contribution to their mass. Depending on the sign of this mass splitting, one can either have a traditional Goldstone pseudoscalar meson or a parity breaking Aoki-like phase.
Authors:
Publication Date:
OSTI Identifier:
992572
Report Number(s):
BNL--94065-2010-CP
KA1401020; TRN: US1007808
DOE Contract Number:
DE-AC02-98CH10886
Resource Type:
Conference
Resource Relation:
Conference: The XXVIII International Symposium on Lattice Field Theory; Villasimius, Sardinia, Italy; 20100614 through 20100619
Research Org:
BROOKHAVEN NATIONAL LABORATORY (BNL)
Sponsoring Org:
DOE - Office Of Science
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CONSTRUCTION; FERMIONS; ISOSPIN; LATTICE FIELD THEORY; MESONS; PARITY; PSEUDOSCALAR MESONS; QUANTUM NUMBERS; RENORMALIZATION; SYMMETRY chiral fermions; Minimally-doubled; hypercubes