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

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 confi...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2015-09, Vol.184 (3), p.1287-1294
Main Authors: Zubov, R. A., Prokhvatilov, E. V., Malyshev, M. Yu
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-015-0336-5