Limit transition to the light-front QCD and a quark–antiquark approximation

Autor: E. V. Prokhvatilov, R. A. Zubov, M. Yu. Malyshev
Rok vydání: 2015
Předmět:
Zdroj: Theoretical and Mathematical Physics. 184:1287-1294
ISSN: 1573-9333
0040-5779
DOI: 10.1007/s11232-015-0336-5
Popis: 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.
Databáze: OpenAIRE