Geodesic
Nontransversality of the gluon polarization tensor in a chromomagnetic
Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 1, pp. 42-56 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We investigate the problem of the transversality of the gluon polarization tensor in a homogeneous Abelian chromomagnetic background field. Using the Slavnov–Taylor identities, we rederive the nontransversality known from a one-loop calculation in the Feynman gauge. In addition, we generalize the whole procedure to an arbitrary gauge-fixing parameter $\xi$ and calculate the $\xi$-dependent part of the polarization tensor.
Keywords: polarization tensor, chromomagnetic field, Slavnov–Taylor identity, gauge parameter.
Mots-clés : gluon 
@article{TMF_2006_148_1_a3,
     author = {M. Bordag and Yu. O. Grebenyuk and V. V. Skalozub},
     title = {Nontransversality of the gluon polarization tensor in a chromomagnetic},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {42--56},
     year = {2006},
     volume = {148},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_148_1_a3/}
}
TY  - JOUR
AU  - M. Bordag
AU  - Yu. O. Grebenyuk
AU  - V. V. Skalozub
TI  - Nontransversality of the gluon polarization tensor in a chromomagnetic
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2006
SP  - 42
EP  - 56
VL  - 148
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2006_148_1_a3/
LA  - ru
ID  - TMF_2006_148_1_a3
ER  - 
%0 Journal Article
%A M. Bordag
%A Yu. O. Grebenyuk
%A V. V. Skalozub
%T Nontransversality of the gluon polarization tensor in a chromomagnetic
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2006
%P 42-56
%V 148
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2006_148_1_a3/
%G ru
%F TMF_2006_148_1_a3
M. Bordag; Yu. O. Grebenyuk; V. V. Skalozub. Nontransversality of the gluon polarization tensor in a chromomagnetic. Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 1, pp. 42-56. http://geodesic.mathdoc.fr/item/TMF_2006_148_1_a3/

[1] V. V. Skalozub, A. V. Strelchenko, Eur. Phys. J. C, 33 (2004), 105 ; 40 (2005), 121 | DOI | DOI

[2] A. O. Starinets, A. S. Vshivtsev, V. C. Zhukovsky, Phys. Lett. B, 322 (1994), 403 ; V. Skalozub, M. Bordag, Nucl. Phys. B, 576 (2000), 430 ; V. I. Demchik, V. V. Skalozub, Eur. Phys. J. C, 27 (2003), 601 | DOI | DOI | DOI | Zbl

[3] N. O. Agasian, Phys. Lett. B, 562 (2003), 257 | DOI | Zbl

[4] M. Bordag, V. Skalozub, Eur. Phys. J. C, 45 (2006), 159 ; hep-th/0507141 | DOI

[5] L. F. Abbott, Acta Phys. Polon. B, 13 (1982), 33 | MR

[6] B. S. DeWitt, Phys. Rev., 162 (1967), 1195 | DOI | Zbl

[7] I. Ya. Arefeva, A. A. Slavnov, L. D. Faddeev, TMF, 21:3 (1975), 311

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

[9] H. Kluberg-Stern, J.-B. Zuber, Phys. Rev. D, 12 (1975), 482 | DOI

[10] J. S. Schwinger, Phys. Rev. D, 7 (1973), 1696 | DOI