TY - JOUR
T1 - Light-front QCD. II. Two-component theory
AU - Zhang, Wei Min
AU - Harindranath, Avaroth
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1993
Y1 - 1993
N2 - The light-front gauge Aa+=0 is known to be a convenient gauge in practical QCD calculations for short-distance behavior, but there are presistent concerns about its use because of its "singular" nature. The study of nonperturbative field theory quantizing on a light-front plane for hadronic bound states requires one to gain a priori systematic control of such gauge singularities. In the second paper of this series we study the two-component old-fashioned perturbation theory and various severe infrared divergences occurring in old-fashioned light-front Hamiltonian calculations for QCD. We also analyze the ultraviolet divergences associated with a large transverse momentum and examine three currently used regulators: an explicit transverse cutoff, transverse dimensional regularization, and a global cutoff. We discuss possible difficulties caused by the light-front gauge singularity in the applications of light-front QCD to both old-fashioned perturbative calculations for short-distance physics and upcoming nonperturbative investigations for hadronic bound states.
AB - The light-front gauge Aa+=0 is known to be a convenient gauge in practical QCD calculations for short-distance behavior, but there are presistent concerns about its use because of its "singular" nature. The study of nonperturbative field theory quantizing on a light-front plane for hadronic bound states requires one to gain a priori systematic control of such gauge singularities. In the second paper of this series we study the two-component old-fashioned perturbation theory and various severe infrared divergences occurring in old-fashioned light-front Hamiltonian calculations for QCD. We also analyze the ultraviolet divergences associated with a large transverse momentum and examine three currently used regulators: an explicit transverse cutoff, transverse dimensional regularization, and a global cutoff. We discuss possible difficulties caused by the light-front gauge singularity in the applications of light-front QCD to both old-fashioned perturbative calculations for short-distance physics and upcoming nonperturbative investigations for hadronic bound states.
UR - http://www.scopus.com/inward/record.url?scp=17144406735&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=17144406735&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.48.4881
DO - 10.1103/PhysRevD.48.4881
M3 - Article
AN - SCOPUS:17144406735
SN - 0556-2821
VL - 48
SP - 4881
EP - 4902
JO - Physical Review D
JF - Physical Review D
IS - 10
ER -