Exploring two non-perturbative definitions of $c_A$

S. Dürr, M. Della Morte

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

We present two determinations of the coefficient $c_A$ in quenched QCD, needed to build the $O(a)$ improved axial current. The first condition used is the requirement that the PCAC quark mass, as a function of $x_0$, stays flat for a non-trivial spatial phase for the fermions in the Schr\"odinger functional. The second condition is that the PCAC relation for the ground-state and the first excited state at finite L give the same quark mass. Our results confirm previous findings that in the quenched theory the intrinsic $O(a)$ ambiguity of $c_A$ gets relevant around $\beta\simeq6.0$.
OriginalsprogUdefineret/Ukendt
TidsskriftNuclear and Particle Physics Proceedings
ISSN2405-6014
DOI
StatusUdgivet - 26. sep. 2003

Bibliografisk note

3 pages, Lattice2003(improve)

Emneord

  • hep-lat

Citer dette

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Exploring two non-perturbative definitions of $c_A$. / Dürr, S.; Morte, M. Della.

I: Nuclear and Particle Physics Proceedings, 26.09.2003.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Exploring two non-perturbative definitions of $c_A$

AU - Dürr, S.

AU - Morte, M. Della

N1 - 3 pages, Lattice2003(improve)

PY - 2003/9/26

Y1 - 2003/9/26

N2 - We present two determinations of the coefficient $c_A$ in quenched QCD, needed to build the $O(a)$ improved axial current. The first condition used is the requirement that the PCAC quark mass, as a function of $x_0$, stays flat for a non-trivial spatial phase for the fermions in the Schr\"odinger functional. The second condition is that the PCAC relation for the ground-state and the first excited state at finite L give the same quark mass. Our results confirm previous findings that in the quenched theory the intrinsic $O(a)$ ambiguity of $c_A$ gets relevant around $\beta\simeq6.0$.

AB - We present two determinations of the coefficient $c_A$ in quenched QCD, needed to build the $O(a)$ improved axial current. The first condition used is the requirement that the PCAC quark mass, as a function of $x_0$, stays flat for a non-trivial spatial phase for the fermions in the Schr\"odinger functional. The second condition is that the PCAC relation for the ground-state and the first excited state at finite L give the same quark mass. Our results confirm previous findings that in the quenched theory the intrinsic $O(a)$ ambiguity of $c_A$ gets relevant around $\beta\simeq6.0$.

KW - hep-lat

U2 - 10.1016/S0920-5632(03)02600-8

DO - 10.1016/S0920-5632(03)02600-8

M3 - Tidsskriftartikel

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

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