Geodesic
Ultraviolet finiteness of nonlinear two-dimensional sigma models on affine-metric manifolds
Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 3, pp. 471-474 
V. V. Belokurov; V. E. Tarasov. Ultraviolet finiteness of nonlinear two-dimensional sigma models on affine-metric manifolds. Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 3, pp. 471-474. http://geodesic.mathdoc.fr/item/TMF_1989_78_3_a15/
@article{TMF_1989_78_3_a15,
     author = {V. V. Belokurov and V. E. Tarasov},
     title = {Ultraviolet finiteness of~nonlinear two-dimensional sigma models on~affine-metric manifolds},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {471--474},
     year = {1989},
     volume = {78},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_78_3_a15/}
}
TY  - JOUR
AU  - V. V. Belokurov
AU  - V. E. Tarasov
TI  - Ultraviolet finiteness of nonlinear two-dimensional sigma models on affine-metric manifolds
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1989
SP  - 471
EP  - 474
VL  - 78
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1989_78_3_a15/
LA  - ru
ID  - TMF_1989_78_3_a15
ER  - 
%0 Journal Article
%A V. V. Belokurov
%A V. E. Tarasov
%T Ultraviolet finiteness of nonlinear two-dimensional sigma models on affine-metric manifolds
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1989
%P 471-474
%V 78
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1989_78_3_a15/
%G ru
%F TMF_1989_78_3_a15

Voir la notice de l'article provenant de la source Math-Net.Ru

Two-loop counterterms are calculated in the nonlinear two-dimensional bosonic sigma model for which the target-space is an arbitrary affine-metric manifold. Some examples of nonflat target-manifolds resulting in ultraviolet-finite sigma models are exhibited.

[1] Candelas P., Horowitz G., Strominger A., Witten E., Nucl. Phys., B258 (1985), 46–74 | DOI | MR

[2] Nemeschansky D., Yankielowicz S., Phys. Rev. Lett., 54 (1985), 620–623 | DOI | MR

[3] Callan C. G., Friedan D., Martinec E. J., Perry M. J., Nucl. Phys., B262 (1985), 593–609 | DOI | MR

[4] Fradkin E. S., Tseytlin A. A., Phys. Lett., B158 (1985), 316–319 | DOI | MR

[5] Sen A., Phys. Rev., D32 (1985), 2102–2112

[6] Friedan D. H., Ann. Phys., 163 (1985), 318–319 | DOI | MR

[7] Alvarez-Gaume L., Freedman D. Z., Mukhi S., Ann. Phys., 134 (1981), 85–109 | DOI | MR

[8] Mukhi S., Nucl. Phys., B264 (1986), 640–652 | DOI | MR

[9] Mukhi S., Phys. Lett., B162 (1985), 345–348 | DOI | MR