A nonperturbative determination of C-A

Citation
S. Collins et Cth. Davies, A nonperturbative determination of C-A, NUCL PH B-P, 94, 2001, pp. 608-612
Citations number
3
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
94
Year of publication
2001
Pages
608 - 612
Database
ISI
SICI code
0920-5632(200103)94:<608:ANDOC>2.0.ZU;2-K
Abstract
We describe a non-perturbative determination of c(A) using correlators cont aining the axial-vector and pseudoscalar currents at zero and non-zero mome ntum. We apply the method of Bhattacharya et al to extract c(A) from the re quirement that the ratio of appropriate correlators for the PCAC relation b ecomes independent of time in the excited state region. We find that the re sult depends strongly on the order of the derivatives used in the PCAC rela tion. We also find that, using the lowest order derivatives, we cannot get a consistent value of c(A) between zero and non-zero momentum cases. The c( A) values that we obtain as we improve the derivatives are consistent and d ecrease in magnitude heading towards the perturbative result.