Geodesic
The Propagator of a Massive Field of Spin $s=2$ in the Anti-de Sitter Space
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 81-92 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We construct the propagator of the massive tensor field of the second rank on the Euclidean continuation of the anti-de Sitter (AdS) space. We find the explicit expression for the propagator in the limit where the field takes values at the boundary of the AdS space. We show that the limiting expression yields the correct Green's function and two-point correlation function of the boundary conformal field theory, as predicted by the AdS/CFT correspondence hypothesis. We thus obtain one more piece of evidence in favor of the interpretation of operators of the boundary conformal field theory as certain limits of quantum fields propagating in the AdS space.
Keywords: Green's function, conformal field theory, AdS/CFT correspondence. 
@article{TMF_2004_138_1_a6,
     author = {A. V. Polishchuk},
     title = {The {Propagator} of {a~Massive} {Field} of {Spin} $s=2$ in the {Anti-de} {Sitter} {Space}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {81--92},
     year = {2004},
     volume = {138},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a6/}
}
TY  - JOUR
AU  - A. V. Polishchuk
TI  - The Propagator of a Massive Field of Spin $s=2$ in the Anti-de Sitter Space
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2004
SP  - 81
EP  - 92
VL  - 138
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a6/
LA  - ru
ID  - TMF_2004_138_1_a6
ER  - 
%0 Journal Article
%A A. V. Polishchuk
%T The Propagator of a Massive Field of Spin $s=2$ in the Anti-de Sitter Space
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2004
%P 81-92
%V 138
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a6/
%G ru
%F TMF_2004_138_1_a6
A. V. Polishchuk. The Propagator of a Massive Field of Spin $s=2$ in the Anti-de Sitter Space. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 81-92. http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a6/

[1] O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri, Y. Oz, Phys. Rep., 323 (2000), 183 ; E-print hep-th/9905111 | DOI | MR

[2] C. Fronsdal, Phys. Rev. D, 10 (1974), 589 | DOI | MR

[3] C. P. Burgess, C. A. Lutken, Phys. Lett. B, 153 (1985), 137 | DOI | MR

[4] C. Dullemond, E. van Beveren, J. Math. Phys., 26 (1985), 2050 | DOI | MR

[5] C. P. Burges, D. Z. Freedman, S. Davis, G. W. Gibbons, Ann. Phys., 167 (1986), 285 | DOI | MR | Zbl

[6] B. Allen, T. Jacobson, Commun. Math. Phys., 103 (1986), 669 | DOI | MR | Zbl

[7] B. Allen, M. Turyn, Nucl. Phys. B, 292 (1987), 813 | DOI

[8] M. Turyn, J. Math. Phys., 31 (1990), 669 | DOI | MR | Zbl

[9] I. Antoniadis, E. Mottola, J. Math. Phys., 32 (1991), 1037 | DOI | MR | Zbl

[10] A. A. Tseytlin, Hong Liu, Phys. Rev. D, 59 (1999), 086002 ; E-print hep-th/9807097 | DOI | MR

[11] E. D'Hoker, D. Z. Freedman, Gauge boson exchange in $AdS_{d+1}$, E-print hep-th/9809179 | MR

[12] E. D'Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis, L. Rastelli, Nucl. Phys. B, 544 (1999), 612 ; E-print hep-th/9902042 | DOI | MR | Zbl

[13] H. J. Kim, L. J. Romans, P. van Nieuwenhuizen, Phys. Rev. D, 32 (1985), 389 | DOI | MR

[14] A. Polishchuk, JHEP, 9907 (1999), 007 ; E-print hep-th/9905048 | DOI | MR

[15] W. Mück, K. S. Viswanathan, Phys. Rev. D, 58 (1998), 106006 ; E-print hep-th/9805145 | DOI | MR

[16] I. L. Buchbinder, V. A. Krykhtin, V. D. Pershin, Phys. Lett. B, 466 (1999), 216 ; E-print hep-th/9908028 | DOI | MR | Zbl

[17] T. Banks, M. Douglas, G. Horowitz, E. Martinec, AdS dynamics from conformal field theory, ; U. Chicago preprint EFI-98-30, Chicago Univ., Chicago, 1998 E-print hep-th/9808016

[18] I. R. Klebanov, E. Witten, Nucl. Phys. B, 556 (1999), 89 ; E-print hep-th/9905104 | DOI | MR | Zbl

[19] J. Polchinski, S-matrices from AdS spacetime, E-print hep-th/9901076

[20] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, T. 1, 1973 ; Т. 2, Наука, М., 1974 | MR