# 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 $\beta\simeq6.0$.
Originalsprog Udefineret/Ukendt Nuclear and Particle Physics Proceedings 2405-6014 https://doi.org/10.1016/S0920-5632(03)02600-8 Udgivet - 26. sep. 2003

### Bibliografisk note

3 pages, Lattice2003(improve)

• hep-lat

### Citer dette

@article{96347d66d3a64aaa8bf434cef5f9c3d5,
title = "Exploring two non-perturbative definitions of $c_A$",
abstract = "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 $\beta\simeq6.0$.",
keywords = "hep-lat",
author = "S. D{\"u}rr and Morte, {M. Della}",
note = "3 pages, Lattice2003(improve)",
year = "2003",
month = "9",
day = "26",
doi = "10.1016/S0920-5632(03)02600-8",
language = "Udefineret/Ukendt",
journal = "Nuclear and Particle Physics Proceedings",
issn = "2405-6014",
publisher = "Heinemann",

}

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

ER -