Geodesic
Triplectic quantization of gauge theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 3, pp. 476-484 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We propose a modified version of the triplectic quantization method introduced by Batalin, Marnelius, and Semikhatov. The main difference from the previous approach consists in redefining the generating equations and the vacuum functional such that the original classical gauge-invariant action becomes the boundary condition for the triplectic quantization generating equations. 
@article{TMF_2000_123_3_a8,
     author = {B. Geyer and D. M. Gitman and P. M. Lavrov},
     title = {Triplectic quantization of gauge theories},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {476--484},
     year = {2000},
     volume = {123},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a8/}
}
TY  - JOUR
AU  - B. Geyer
AU  - D. M. Gitman
AU  - P. M. Lavrov
TI  - Triplectic quantization of gauge theories
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2000
SP  - 476
EP  - 484
VL  - 123
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a8/
LA  - ru
ID  - TMF_2000_123_3_a8
ER  - 
%0 Journal Article
%A B. Geyer
%A D. M. Gitman
%A P. M. Lavrov
%T Triplectic quantization of gauge theories
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2000
%P 476-484
%V 123
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a8/
%G ru
%F TMF_2000_123_3_a8
B. Geyer; D. M. Gitman; P. M. Lavrov. Triplectic quantization of gauge theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 3, pp. 476-484. http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a8/

[1] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1976 ; В. Н. Попов, Континуальные интегралы в квантовой теории поля и статистической физике, Атомиздат, М., 1976 ; А. А. Славнов, Л. Д. Фаддеев, Введение в квантовую теорию калибровочных полей, Наука, М., 1978 ; Д. М. Гитман, И. В. Тютин, Каноническое квантование полей со связями, Наука, М., 1986 | MR | MR | MR | MR

[2] L. D. Faddeev, V. N. Popov, Phys. Lett. B, 25 (1967), 29 | DOI

[3] C. Becchi, A. Rouet, R. Stora, Phys. Lett. B, 25 (1974), 344 ; Commun. Math. Phys., 42 (1975), 127 | DOI | DOI | MR

[4] I. V. Tyutin, Kalibrovochnaya invariantnost v teorii polya i statisticheskoi fizike v operatornoi formulirovke, Preprint No 39, FIAN SSSR, M., 1975

[5] J. Zinn-Justin, “Renormalization of gauge theories”, Trends in Elementary Particle Theory, Lectures Notes in Physics, 37, eds. H. Rollnik and K. Dietz, Springer-Verlag, Berlin, 1975, 2

[6] S. Ferrara, D. Z. Freedman, P. van Nieuwenhuizen, Phys. Rev. D, 13 (1976), 3214 | DOI | MR

[7] D. Z. Freedman, P. K. Townsend, Nucl. Phys. B, 177 (1981), 282 | DOI | MR

[8] I. A. Batalin, G. A. Vilkovisky, Phys. Lett. B, 102 (1981), 27 | DOI | MR

[9] I. A. Batalin, G. A. Vilkovisky, Phys. Rev. D, 28 (1983), 2567 | DOI | MR

[10] I. A. Batalin, P. M. Lavrov, I. V. Tyutin, J. Math. Phys., 31 (1990), 1487 | DOI | MR | Zbl

[11] I. A. Batalin, P. M. Lavrov, I. V. Tyutin, J. Math. Phys., 32 (1991), 532 | DOI | MR | Zbl

[12] I. A. Batalin, P. M. Lavrov, I. V. Tyutin, J. Math. Phys., 32 (1991), 2513 | DOI | MR

[13] G. Curci, R. Ferrari, Phys. Lett. B, 63 (1976), 91 | DOI | MR

[14] I. Ojima, Progr. Theor. Phys. Suppl., 64 (1979), 625 | DOI | MR

[15] I. A. Batalin, R. Marnelius, Phys. Lett. B, 350 (1995), 44 ; I. A. Batalin, R. Marnelius, A. Semikhatov, Nucl. Phys. B, 465 (1995), 249 ; I. A. Batalin, R. Marnelius, Nucl. Phys. B, 465 (1996), 521 | DOI | MR | DOI | MR | DOI | MR | Zbl

[16] P. M. Lavrov, Phys. Lett. B, 366 (1996), 160 | DOI | MR

[17] P. M. Lavrov, P. Yu. Moshin, A. A. Reshetnyak, Pisma v ZhETF, 62 (1995), 760 | MR

[18] B. Geyer, P. M. Lavrov, D. Mülsch, J. Math. Phys., 40 (1999), 674 | DOI | MR | Zbl

[19] R. E. Kallosh, I. V. Tyutin, YaF, 17 (1973), 190 ; I. V. Tyutin, Once again on the equivalence theorem, E-print hep-th/0001050 | MR | MR