Cutoff effects of Wilson fermions in the absence of spontaneous chiral symmetry breaking

Michele Della Morte, Magdalena Luz

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

We simulate two dimensional QED with two degenerate Wilson fermions and plaquette gauge action. As a consequence of the Mermin-Wagner theorem, in the continuum limit chiral symmetry is realized a la Wigner. This property affects also the size of the cutoff effects. That can be understood in view of the fact that the leading lattice artifacts are described, in the continuum Symanzik effective theory, by chirality breaking terms. In particular, vacuum expectation values of non-chirality-breaking operators are expected to be O(a) improved in the chiral limit. We provide a numerical confirmation of this expectation by performing a scaling test.
OriginalsprogUdefineret/Ukendt
TidsskriftPhys.Lett. B
DOI
StatusUdgivet - 20. okt. 2005

Bibliografisk note

8 pages, 2 figures. Eq. 9 corrected, accepted for publication in Physics Letters B

Emneord

  • hep-lat

Citer dette

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Cutoff effects of Wilson fermions in the absence of spontaneous chiral symmetry breaking. / Morte, Michele Della; Luz, Magdalena.

I: Phys.Lett. B, 20.10.2005.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Cutoff effects of Wilson fermions in the absence of spontaneous chiral symmetry breaking

AU - Morte, Michele Della

AU - Luz, Magdalena

N1 - 8 pages, 2 figures. Eq. 9 corrected, accepted for publication in Physics Letters B

PY - 2005/10/20

Y1 - 2005/10/20

N2 - We simulate two dimensional QED with two degenerate Wilson fermions and plaquette gauge action. As a consequence of the Mermin-Wagner theorem, in the continuum limit chiral symmetry is realized a la Wigner. This property affects also the size of the cutoff effects. That can be understood in view of the fact that the leading lattice artifacts are described, in the continuum Symanzik effective theory, by chirality breaking terms. In particular, vacuum expectation values of non-chirality-breaking operators are expected to be O(a) improved in the chiral limit. We provide a numerical confirmation of this expectation by performing a scaling test.

AB - We simulate two dimensional QED with two degenerate Wilson fermions and plaquette gauge action. As a consequence of the Mermin-Wagner theorem, in the continuum limit chiral symmetry is realized a la Wigner. This property affects also the size of the cutoff effects. That can be understood in view of the fact that the leading lattice artifacts are described, in the continuum Symanzik effective theory, by chirality breaking terms. In particular, vacuum expectation values of non-chirality-breaking operators are expected to be O(a) improved in the chiral limit. We provide a numerical confirmation of this expectation by performing a scaling test.

KW - hep-lat

U2 - 10.1016/j.physletb.2005.11.036

DO - 10.1016/j.physletb.2005.11.036

M3 - Tidsskriftartikel

JO - Phys.Lett. B

JF - Phys.Lett. B

ER -