Geodesic
Quantum fields on the light front, formulation in coordinates
Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 1, pp. 89-101 Cet article a éte moissonné depuis la source Math-Net.Ru

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We review the fundamental ideas of quantizing a theory on a light front including the Hamiltonian approach to the problem of bound states on the light front and the limiting transition from formulating a theory in Lorentzian coordinates (where the quantization occurs on spacelike hyperplanes) to the theory on the light front, which demonstrates the equivalence of these variants of the theory. We describe attempts to find such a form of the limiting transition for gauge theories on the Wilson lattice.
Keywords: gauge fields, light front, Hamiltonian approach, lattice. 
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E. M. Ilgenfriz; S. A. Paston; H. J. Pirner; E. V. Prokhvatilov; V. A. Franke. Quantum fields on the light front, formulation in coordinates. Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 1, pp. 89-101. http://geodesic.mathdoc.fr/item/TMF_2006_148_1_a7/

[1] P. A. M. Dirac, Rev. Mod. Phys., 21 (1949), 392 | DOI | MR | Zbl

[2] P. M. Stevenson, Phys. Rev. D, 32 (1985), 1389 | DOI | MR

[3] S. A. Paston, V. A. Franke, TMF, 112:3 (1997), 399 ; hep-th/9901110 | DOI

[4] S. A. Paston, E. V. Prokhvatilov, V. A. Franke, TMF, 120:3 (1999), 417 ; ; 131, No 1, 2002 ; hep-th/0002062hep-th/0302016 | DOI | Zbl | DOI | MR | Zbl

[5] E. V. Prokhvatilov, H. W. L. Naus, H.-J. Pirner, Phys. Rev. D, 51 (1995), 2933 ; hep-ph/9406275 | DOI

[6] E. V. Prokhvatilov, V. A. Franke, YaF, 59:11 (1996), 2105 | MR

[7] S. Dalley, G. McCartor, Annals Phys., 321 (2006), 402 ; hep-ph/0406287 | DOI | Zbl

[8] V. A. Franke, Yu. V. Novozhilov, E. V. Prokhvatilov, Lett. Math. Phys., 5:3 (1981), 239 ; 5, 437 | DOI | MR | DOI | MR | Zbl

[9] A. M. Annenkova, E. V. Prokhvatilov, V. A. Franke, Vestnik LGU, 1985, no. 4, 80; С. А. Пастон, Е. В. Прохватилов, В. А. Франке, ЯФ, 68:2 (2005), 1; ; S. J. Brodsky, H.-C. Pauli, S. S. Pinsky, Phys. Rep., 301 (1997), 299 ; hep-th/0501186hep-ph/9705477 | DOI | MR

[10] A. M. Annenkova, E. V. Prokhvatilov, V. A. Franke, YaF, 56:6 (1993), 179

[11] K. G. Wilson, T. Walhout, A. Harindranath, W. M. Zhang, R. J. Perry, S. Glazek, Phys. Rev. D, 49 (1994), 6720 ; ; S. J. Brodsky, V. A. Franke, J. R. Hiller, G. McCartor, S. A. Paston, E. V. Prokhvatilov, Nucl. Phys. B, 703 (2004), 333 ; hep-th/9401153hep-ph/0406325 | DOI | MR | DOI | Zbl

[12] K. Wilson, Phys. Rev. D, 10 (1974), 2445 | DOI

[13] M. Creutz, Phys. Rev. D, 15 (1977), 1128 | DOI

[14] A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1988 | MR | Zbl

[15] P. A. M. Dirak, Lektsii po kvantovoi mekhanike, Mir, M., 1968 | Zbl

[16] E. V. Prokhvatilov, V. A. Franke, YaF, 47:3 (1988), 882; 49:4 (1989), 1109 ; А. Б. Былев, Е. В. Прохватилов, В. А. Франке, Вестник ЛГУ, Сер. 4, Вып. 2, 1989, No 11, 66 | MR