Limit transition to the~light-front QCD and a~quark--antiquark
Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 456-464
Voir la notice de l'article provenant de la source Math-Net.Ru
We consider a transition to the light-front quantum chromodynamics from theories quantized on spacelike planes that approach the light front. This limit transition differs for zero and nonzero modes, which leads to the appearance of a semiphenomenological parameter that can be used to describe confinement effects. As an illustration, we consider the problem of the bound states of a quark–antiquark pair in $2{+}1$ dimensions. We use a lattice gauge-invariant regularization in the transverse space and consequently obtain an analogue of the 't Hooft equation. We also discuss the possibility of calculating the spectrum of bound states in $3{+}1$ dimensions.
Keywords:
Hamiltonian approach, quantum chromodynamics, mass spectrum, light front.
@article{TMF_2015_184_3_a9,
author = {R. A. Zubov and E. V. Prokhvatilov and M. Yu. Malyshev},
title = {Limit transition to the~light-front {QCD} and a~quark--antiquark},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {456--464},
publisher = {mathdoc},
volume = {184},
number = {3},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a9/}
}
TY - JOUR AU - R. A. Zubov AU - E. V. Prokhvatilov AU - M. Yu. Malyshev TI - Limit transition to the~light-front QCD and a~quark--antiquark JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2015 SP - 456 EP - 464 VL - 184 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a9/ LA - ru ID - TMF_2015_184_3_a9 ER -
%0 Journal Article %A R. A. Zubov %A E. V. Prokhvatilov %A M. Yu. Malyshev %T Limit transition to the~light-front QCD and a~quark--antiquark %J Teoretičeskaâ i matematičeskaâ fizika %D 2015 %P 456-464 %V 184 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a9/ %G ru %F TMF_2015_184_3_a9
R. A. Zubov; E. V. Prokhvatilov; M. Yu. Malyshev. Limit transition to the~light-front QCD and a~quark--antiquark. Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 456-464. http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a9/