Geodesic
Limit transition to the light-front QCD and a quark–antiquark
Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 456-464 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {R. A. Zubov and E. V. Prokhvatilov and M. Yu. Malyshev},
     title = {Limit transition to the~light-front {QCD} and a~quark{\textendash}antiquark},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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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/

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