Geodesic
Nonperturbative conditions for local Weyl invariance on a curved world sheet
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 361-384 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We investigate Weyl anomalies on a curved world sheet to second order in a weak field expansion. Using a local version of the exact renormalization group equations, we obtain nonperturbative results for the tachyon/graviton/dilaton system. We discuss the elimination of redundant operators, which play a crucial role for the emergence of target space covariance. Performing the operator product expansion on a curved world sheet allows us to obtain the nonperturbative contributions to the dilaton $\beta$ function. We find the $\beta$ functions, after suitable field redefinitions, to be related to a target space effective action through a $\kappa$ function involving derivatives. Also we can establish a nonperturbative Curci–Paffuti relation including the tachyon $\beta$ function. 
@article{TMF_1993_95_2_a18,
     author = {J. Schnittger and U. Ellwanger},
     title = {Nonperturbative conditions for local {Weyl} invariance on a~curved world sheet},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {361--384},
     year = {1993},
     volume = {95},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a18/}
}
TY  - JOUR
AU  - J. Schnittger
AU  - U. Ellwanger
TI  - Nonperturbative conditions for local Weyl invariance on a curved world sheet
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1993
SP  - 361
EP  - 384
VL  - 95
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a18/
LA  - en
ID  - TMF_1993_95_2_a18
ER  - 
%0 Journal Article
%A J. Schnittger
%A U. Ellwanger
%T Nonperturbative conditions for local Weyl invariance on a curved world sheet
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1993
%P 361-384
%V 95
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a18/
%G en
%F TMF_1993_95_2_a18
J. Schnittger; U. Ellwanger. Nonperturbative conditions for local Weyl invariance on a curved world sheet. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 361-384. http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a18/

[1] Fradkin E., Tseytlin A. A., Phys. Lett., 158B (1985), 316 | DOI | MR | Zbl

[2] Callan C., Friedan D., Martinec E., Perry M., Nucl. Phys., B262 (1985), 593 | DOI | MR

[3] Sen A., Phys. Rev., D32 (1985), 2102 ; Phys. Rev. Lett., 55 (1985), 1846 ; Lovelace C., Nucl. Phys., B273 (1986), 413 | DOI | MR | DOI | MR

[4] Tseytlin A. A., Int. J. Mod. Phys., A4 (1989), 1257 | DOI | MR

[5] Curci G., Paffuti G., Nucl. Phys., B286 (1987), 399 | DOI

[6] Callan C., Klebanov I., Perry M., Nucl. Phys., B278 (1986), 78 | DOI | MR

[7] Das S., Sathiapalan B., Phys. Rev. Lett., 56 (1986), 2664 | DOI | MR

[8] Akhoury R., Okada Y., Phys. Lett., 198B (1987), 65 ; Nucl. Phys., B318 (1989), 176 | DOI | MR | DOI | MR

[9] Jain S., Mandal G., Wadia S., Phys. Rev., D35 (1987), 3116 | MR

[10] Itoi C., Watabiki Y, Phys. Lett., 198B (1987), 486 | DOI | MR

[11] Brustein R., Nemeschansky D., Yankielowicz S., Nucl. Phys., B301 (1988), 224 | DOI | MR

[12] Watabiki Y., Z. Phys., C38 (1988), 411 | MR

[13] Klebanov I., Susskind L., Phys. Lett., 200B (1988), 446 | DOI | MR

[14] Watabiki Y., Phys. Lett., 210B (1988), 113 | DOI | MR

[15] Labastida J., Vozmediano M., Nucl. Phys., B312 (1989), 308 | DOI | MR

[16] Sakai K., Nucl. Phys., B326 (1989), 237 | DOI

[17] Sathiapalan B., Nucl. Phys., B326 (1989), 376 | DOI | MR

[18] Ohya T., Watabiki Y., Mod. Phys. Lett., A4 (1989), 543 | DOI

[19] Jain S., Jevicki A., Phys. Lett., 220B (1989), 379 | DOI | MR

[20] Hayashi N., Phys. Lett., 238B (1990), 50 | DOI | MR

[21] Banks T., Martinec E., Nucl. Phys., B294 (1987), 733 | DOI | MR | Zbl

[22] Das S., Phys. Rev., D38 (1988), 3105

[23] Redlich A., Phys. Lett., 213B (1988), 285 | DOI | MR

[24] Ellwanger U., Fuchs J., Nucl. Phys., B312 (1989), 95 | DOI | MR

[25] Hughes J., Liu J., Polchinski J., Nucl. Phys., B316 (1989), 15 | DOI | Zbl

[26] Tseytlin A. A., Int. J. Mod. Phys., A4 (1989), 4249 | DOI | MR

[27] Sakai K., Osaka preprint OU-HET 1271989

[28] Tseytlin A. A., Phys. Lett., 185B (1987), 59 | DOI | MR

[29] Tseytlin A. A., Phys. Lett., 264B (1991), 311 | DOI | MR

[30] Cooper A., Susskind L., Thorlacius L., Nucl. Phys., B363 (1991), 132 | DOI

[31] Mandal G., Sengupta A., Wadia S., Mod. Phys. Lett., A6 (1991), 543, 1685 | MR

[32] De Alwis S., Lykken J., Phys. Lett., 269B (1991), 264 | DOI

[33] Ellwanger U., Schnittger J., Int. J. Mod. Phys., A7 (1992), 3389 | DOI | MR

[34] Arakelov S., Math. USSR Izv., 8 (1974), 1167 ; D'Hoker E., Phong D., Commun. Math. Phys., 124 (1989), 629 | DOI | Zbl | DOI | MR | Zbl

[35] D'Hoker E., Phong D., Rev. Mod. Phys., 60 (1988), 917 | DOI | MR

[36] Friedan D., Ann. Phys., 163 (1985), 318 | DOI | MR | Zbl

[37] De Alwis S., Phys. Rev., D34 (1986), 3760

[38] Fridling B., van de Ven A., Nucl. Phys., B268 (1986), 719 | DOI | MR

[39] Hull C., Townsend P., Nucl. Phys., B274 (1986), 349 | DOI | MR

[40] Tseytlin A. A., Phys. Lett., 178B (1986), 34 | DOI | MR

[41] Shore G., Nucl. Phys., B286 (1987), 349 | DOI | MR

[42] De Alwis S., Phys. Lett., 168B (1986), 59 | DOI

[43] Ichinose I., Sakita B., Phys. Lett., 175B (1986), 423 | DOI | MR

[44] D'Hoker E., Phong D., Phys. Rev., D35 (1987), 3890 | MR

[45] Polchinski J., Nucl. Phys., B289 (1987), 465 | DOI | MR

[46] Tanii Y., Watabiki Y., Nucl. Phys., B316 (1989), 171 | DOI | MR

[47] Wegner F., Z. Phys., B78 (1990), 33 | DOI | MR | Zbl

[48] Banks T., Nucl. Phys., B361 (1991), 166 | DOI | MR

[49] Zamolodchikov A. B., JETP Lett., 43 (1986), 731 ; Sov. J. Nucl. Phys., 46 (1987), 109 ; Polyakov A., Physica Scripta, T15 (1987), 191 | MR | MR | DOI | MR

[50] Tseytlin A. A., Phys. Lett., 194B (1987), 63 ; Osborn H., Nucl. Phys., B308 (1988), 629 ; Mavromatos N., Miramontes J., Phys. Lett., 212B (1988), 33 | DOI | MR | DOI | MR | DOI | MR

[51] Cappelli A., Friedan D., Latorre J., Nucl. Phys., B352 (1991), 616 | DOI | MR

[52] De Alwis S., Phys. Lett., 217B (1989), 3467

[53] Jack I., Jones D. R. T., Ross D. A., Nucl. Phys., B307 (1988), 130 | DOI | MR

[54] Ellwanger U., Fuchs J., Schmidt M. G., Nucl. Phys., B314 (1989), 175 | DOI | MR

[55] Bento M. C., Bertolami O., Romao J. C., Phys. Lett., 252B (1990), 401 | DOI

[56] Ellwanger U., Phys. Lett., 243B (1990), 93 | DOI

[57] Honerkamp J., Nucl. Phys., B36 (1972), 130 ; Randjbar-Daemi S., Salam A., Strathdee J. A., Int. J. Mod. Phys., A2 (1987), 667 ; Tseytlin A., Phys. Lett., 223B (1989), 165 ; Andreev O., Metsaev R., Tseytlin A., Sov. J. Nucl. Phys., 51(2) (1990), 359 | DOI | DOI | MR | Zbl | DOI | MR | MR