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Titolo:
Translational anomaly in chiral gauge theories on a torus and the overlap formalism
Autore:
Izubuchi, T; Nishimura, J;
Indirizzi:
Univ Tsukuba, Inst Phys, Tsukuba, Ibaraki 3058571, Japan Univ Tsukuba Tsukuba Ibaraki Japan 3058571 sukuba, Ibaraki 3058571, Japan Nagoya Univ, Dept Phys, Chikusa Ku, Nagoya, Aichi 4648602, Japan Nagoya Univ Nagoya Aichi Japan 4648602 a Ku, Nagoya, Aichi 4648602, Japan Univ Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen, Denmark Univ Copenhagen Copenhagen Denmark DK-2100 , DK-2100 Copenhagen, Denmark
Titolo Testata:
JOURNAL OF HIGH ENERGY PHYSICS
fascicolo: 10, , anno: 1999,
pagine: NIL_19 - NIL_47
SICI:
1029-8479(199912):10<NIL_19:TAICGT>2.0.ZU;2-6
Fonte:
ISI
Lingua:
ENG
Soggetto:
EXACTLY MASSLESS QUARKS; LATTICE; FERMIONS;
Keywords:
lattice quantum field theory; nonperturbative effects; lattice gauge field theories;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
20
Recensione:
Indirizzi per estratti:
Indirizzo: Izubuchi, T Univ Tsukuba, Inst Phys, Tsukuba, Ibaraki 3058571, Japan Univ Tsukuba Tsukuba Ibaraki Japan 3058571 aki 3058571, Japan
Citazione:
T. Izubuchi e J. Nishimura, "Translational anomaly in chiral gauge theories on a torus and the overlap formalism", J HIGH EN P, (10), 1999, pp. NIL_19-NIL_47

Abstract

We point out that a fermion determinant of a chiral gauge theory on a 2D torus has a phase ambiguity proportional to the Polyakov loops along the boundaries, which can be reproduced by the overlap formalism. We show that therequirement on the fermion determinant that a singularity in the gauge field can be absorbed by a change of the boundary condition for the fermions, is not compatible with translational invariance in general. As a consequence, the gauge anomaly for singular gauge transformations discovered by Narayanan-Neuberger actually exists in any 2D U(1) chiral gauge theory unless the theory is vector-like. We argue that the gauge anomaly is peculiar to theoverlap formalism with the Wigner-Brillouin phase choice and that it is not necessarily a property required in the continuum. We also generalize our results to any even dimension.

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Documento generato il 10/04/20 alle ore 02:01:00