Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$
| dc.creator | Capitani, Stefano | |
| dc.date | 2006-06-30 | |
| dc.date.accessioned | 2026-07-07T10:24:44Z | |
| dc.date.available | 2026-07-07T10:24:44Z | |
| dc.description | We present perturbative calculations made with domain-wall fermions which possess a finite number of points $N_s$ in the extra fifth dimension. We have derived the required propagator functions, investigated the one-loop properties of quark amplitudes at finite $N_s$ and evaluated three quantities that can provide insights on chirality-breaking effects from the perturbative side. First we have computed the residual mass for various choices of $N_s$ and of the domain-wall height $M$. We have found that this radiatively induced mass approaches zero reasonably fast with the extent of the fifth dimension, depending on $M$ and on a lesser extent on the coupling $g_0$. We have also computed the differences of the renormalization constants of the vector and axial-vector currents and of the scalar and pseudoscalar densities. Finally we have calculated the chirally-forbidden mixing (which at finite $N_s$ is suppressed only partially) of an operator which describes the lowest moment of the $g_2$ structure function. In general we see that at $M=1.8$, where simulations are usually performed, values of $N_s=20$ or larger would be desirable in order for chiral violations to be negligible. The quantities that we have studied turn out to lose gauge invariance when $N_s$ is not infinite. We have also found that anomalous dimensions of operators at finite $N_s$ generally depend on $N_s$ and $M$. In particular, the vector and axial-vector currents have in general a nonzero anomalous dimension at finite $N_s$. | |
| dc.description | REVTeX 4, 25 pages, XXV figures | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0606022 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0606022 | |
| dc.identifier | Phys.Rev.D75:054505,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.75.054505 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/176292 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$ | |
| dc.type | text |