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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 184, No. 3, pp. 456–464, September, 2015.
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Zubov, R.A., Prokhvatilov, E.V. & Malyshev, M.Y. Limit transition to the light-front QCD and a quark–antiquark approximation. Theor Math Phys 184, 1287–1294 (2015). https://doi.org/10.1007/s11232-015-0336-5
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DOI: https://doi.org/10.1007/s11232-015-0336-5