This article is cited in 5 papers

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

R. A. Zubov, E. V. Prokhvatilov, M. Yu. Malyshev

St. Petersburg State University, St. Petersburg, Russia

Abstract: 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.

Received: 28.02.2015

DOI: 10.4213/tmf8919

 English version: Theoretical and Mathematical Physics, 2015, 184:3, 1287–1294

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