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String theory at nonzero temperature and two-dimensional gravity

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References

  1. R. Hagedorn:Suppl. Nuavo Gimento,3, 147 (1965).

    Google Scholar 

  2. Yu. B. Rumer:Z. Eksp. Theor. Phys.,38, 1899 (1960).

    MathSciNet  Google Scholar 

  3. K. Huang andS. Weinberg:Phys. Rev. Lett.,25, 895 (1970).

    Article  ADS  Google Scholar 

  4. S. Fubini andG. Veneziano:Nuovo Cimento A,64, 1640 (1969).

    Article  Google Scholar 

  5. C. E. Vayonakis:Phys. Lett. B,116, 223 (1982).

    Article  ADS  Google Scholar 

  6. E. Alvarez:Phys. Rev. D,31, 419 (1985);Nucl. Phys. B,269, 596 (1986).

    ADS  Google Scholar 

  7. R. Rohm:Nucl. Phys. B,237, 553 (1984).

    Article  ADS  Google Scholar 

  8. K. Kikkawa andM. Yamasaki:Phys. Lett. B,149, 357 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  9. M. J. Bowick andL.C.R. Wijewardhana:Phys. Rev. Lett.,54, 2485 (1985);Gen. Relat. Grav.,18, 59 (1986);S.-H. H. Tye:Phys. Lett. B,158, 388 (1985).

    Article  ADS  Google Scholar 

  10. M. Gleiser andJ. G. Taylor:Phys. Lett. B,164, 36 (1985).

    Article  ADS  Google Scholar 

  11. B. Sundborg:Nucl. Phys. B,254, 583 (1985).

    Article  ADS  Google Scholar 

  12. H. Okada:Progr. Theor. Phys.,77, 1987 (1987).

    Google Scholar 

  13. E. Alvarez andM. Osorio:Phys. Rev. D,36, 1175 (1987);Physica A,158, 449 (1989).

    Article  ADS  Google Scholar 

  14. P. Salomonson andB. S. Skagerstam:Nucl. Phys. B,268, 349 (1986);Physica A,158, 499 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  15. P. Olesen:Nucl. Phys. B,267, 539 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  16. N. Turok:Physica A,158, 516 (1989).

    Article  ADS  Google Scholar 

  17. K. Shiraishi:Nuovo Cimento A,100, 683 (1988).

    Article  ADS  Google Scholar 

  18. P. Ditsas andE. G. Floratos:Phys. Lett. B,201, 49 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  19. K. Zalewski:Phys. Lett. B,196, 481 (1987).

    Article  ADS  Google Scholar 

  20. M. Spiegelglas:Phys. Lett. B,220, 391 (1989).

    Article  ADS  Google Scholar 

  21. S. D. Odintsov:Europhys. Lett.,8, 207 (1989);Yad. Fiz. (Sov. J. Nucl. Phys.),50, 249 (1989).

    Article  ADS  Google Scholar 

  22. R. Brandenberger andC. Vafa:Nucl. Phys. B,316, 391 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  23. N. Sakai andI. Senda:Progr. Theor. Phys.,75, 692 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  24. J. J. Atick andE. Witten:Nucl. Phys. B,310, 291 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  25. G. C. Athanasiu andJ. J Atick: inStrings,88, edited byS. J. Gates et al. (World Scientific, Singapore, 1989).

  26. J. Polchinski:Commun. Math. Phys.,104, 37 (1986).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. B. Mc Clain andB. D. B. Roth:Commun. Math. Phys.,111, 539 (1987).

    Article  ADS  Google Scholar 

  28. K. H. O’Brien andC.-I. Tan:Phys. Rev. D,36, 1184 (1987).

    Article  ADS  Google Scholar 

  29. E. Alvarez andM. A. R. Osorio:Nucl. Phys. B,304, 327 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  30. M. J. Bowick andS. B. Giddins:Nucl. Phys. B,325, 631 (1989).

    Article  ADS  Google Scholar 

  31. M. Deo, S. Jain andC.-I. Tan:Phys. Rev. D,40, 2626 (1989); Harward preprint NUTP-91/A025.

    Article  ADS  Google Scholar 

  32. B. Sathiapalan:Phys. Rev. Lett.,58, 1597 (1987).Ya.I. Kogan:JETP Lett.,45, 709 (1987).

    Article  MathSciNet  Google Scholar 

  33. M. Mc Guigan:Phys. Rev. D,38, 552 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  34. I. M. Lichtzier andS. D. Odintsov:Yad. Fiz. Sov. J. Nucl. Phys.,51, 1473 (1990).

    Google Scholar 

  35. D. Gross, J. Harvey, E. Martinec andR. Rohm:Nucl. Phys. B,256, 253 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  36. E. Alvarez andM. A. R. Osorio:Phys. Rev. D,40, 150 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  37. I. Antoniadis, J. Ellis andD. V. Nanoupoulos:Phys. Lett. B,199, 402 (1987).

    Article  ADS  Google Scholar 

  38. Y. Aharonov, F. Englert andJ. Orloff:Phys. Lett. B,199, 366 (1987).

    Article  ADS  Google Scholar 

  39. M. Axenides, S. D. Ellis andC. Kounnas:Phys. Rev. D,37, 2964 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  40. F. Englert andJ. Orloff: Preprint ULB-TH-89HO8, 1989;Nucl. Phys. B,334, 472 (1990).

  41. N. Matsuo:Z. Phys. C,36, 289 (1987).

    Article  ADS  Google Scholar 

  42. Y. Leblanc:Phys. Rev. D,10, 3087 (1988).

    Article  ADS  Google Scholar 

  43. H. Nishimura andM. Tabuse:Mod. Phys. Lett. A,2, 299 (1987).

    Article  ADS  Google Scholar 

  44. M. Hellmund andJ. Kripfganz:Phys. Lett. B,241, 211 (1990).

    Article  ADS  Google Scholar 

  45. E. Alvarez andM. Osorio:Int. J. Theor. Phys.,28, 949 (1989).

    Article  MATH  Google Scholar 

  46. A. A. Tseytlin andC. Vafa: Preprint HTP-91/A049, 1991;A. A. Tseytlin: DAMTP-37-1991 preprint.

  47. L. Dolan andR. Jackiw:Phys. Rev. D,9, 3320 (1974).

    Article  ADS  Google Scholar 

  48. M. B. Green, J. H. Schwarz andE. Witten:Superstring theory, vol. 1, 2. (Cambridge University Press, 1987).

  49. A. M. Polyakov:Phys. Lett. B,103, 207 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  50. M. Osorio: Preprint HTP/91-AOIO, 1991;Int. J. Mod. Phys. A in press.

  51. G. Springer:Introduction to the Riemann surfaces (Addison-Wesley Publishing, 1957).

  52. D. Mumford:Tata Lectures on Theta, vol. 1, 2 (Birkhauser, 1983).

  53. H. Bateman andA. Erdelyi:Higher transcendental functions, (Mc Graw-Hill, N. Y., 1955).

    MATH  Google Scholar 

  54. S. Lang:Introduction to modular forms, (Springer, Berlin, 1976).

    MATH  Google Scholar 

  55. N. Koblitz:Introduction to elliptic curves and modular forms (Springer, Berlin, 1973).

    Google Scholar 

  56. E. D’Hoker andD. H. Phong:Rev. Mod. Phys. 60, 917 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  57. W. Lerche, A. N. Schellekens andN. P. Warner:Phys. Rep.,177, 1 (1989).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  58. S. D. Odintsov:Phys. Lett. B,252, 573 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  59. A. A. Bytsenko andS. D. Odintsov: Preprint FTUAM-28, 1991;Fortschr. Phys., to appear;Phys. Lett. B,245, 21 (1990).

  60. L. Alvarez-Gaume, G. Moore andC. Vafa:Commun Math. Phys.,106, 40 (1986).

    Article  MathSciNet  Google Scholar 

  61. E. Verlinde andH. Verlinde:Nucl. Phys. B,288, 357 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  62. P. Ginsparg andC. Vafa:Nucl. Phys. B,289, 414 (1987);T. Banks, M. Dine, H. Dijkstra andW. Fischer:Phys. Lett. B,12, 45 (1988);G. Horowitz andA. A. Steif:Phys. Lett. B,250, 49 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  63. E. Smith andJ. Polchinski:Phys. Lett. B,263, 51 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  64. G. Veneziano: preprint CERN-TH-6077/91.

  65. V. P. Nair, A. Shapere, A. Strominger andF. Wilczek:Nucl. Phys. B,287, 402 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  66. K. S. Narain, M. H. Sarmadi andE. Witten:Nucl. Phys. B,279, 369 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  67. H. Itoyama andT. R. Taylor:Phys. Lett. B,186, 129 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  68. E. Alvarez andT. Ortin:Phys. Lett. B,241, 215 (1990).

    Article  ADS  Google Scholar 

  69. A. Belavin andV. Knizhnik:Phys. Lett. B,168, 201 (1986).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  70. A. M. Polyakov:Mod. Phys. Lett. A,2, 893 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  71. V. G. Knizhnik, A. M. Polyakov andA. B. Zamolodchikov:Mod. Phys. Lett. A,3, 819 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  72. J. Distler andH. Kawai:Nucl. Phys. B,321, 509 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  73. F. David:Mod. Phys. Lett. A,3, 1651 (1988).

    Article  ADS  Google Scholar 

  74. J. Distler, Z. Hlousek andH. Kawai:Int. J. Mod. Phys. A,5, 391, 1093 (1190).

    Article  MathSciNet  Google Scholar 

  75. J. Ambjorn, J. Durhuus andJ. Fröhlich:Nucl. Phys. B,257, 433 (1985).

    Article  ADS  Google Scholar 

  76. V. A. Kazakov:Phys. Lett. B,150, 282 (1985);Mod. Phys. Lett. A,4, 2125 (1989);F. David:Nucl. Phys. B,257, 45 (1985);J. Ambjørn, B. Durhuus, J. Fröhlich andP. Orland:Nucl. Phys. B,270, 457 (1986);D. Boulatov, V. Kazakov, I. Kostov andA. A. Migdal:Nucl. Phys. B,275, 641 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  77. E. Brezin andV. Kazakov:Phys. Lett B,236, 144 (1990);D. J. Gross andA. A. Midgal:Phys. Rev. Lett.,64, 27 (1990);Nucl. Phys. B,340, 333 (1990);M. Douglas andS. Shenker:Nucl. Phys. B,335, 635 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  78. D. J Gross andM. Miljkovic:Phys. Lett. B,328, 217 (1990);E. Brezin, V. A. Kazakov andA. Zamolodchikov:Nucl. Phys. B,338, 673 (1990);P. Ginsparg andJ. Zinn-Justin:Phys. Lett. B,240, 333 (1990);G. Parisi:Phys. Lett. B,238, 209 (1990);D. J. Gross andI. R. Klebanov:Nucl. Phys. B,354, 451 (1991);J. Ambjørn, J. Jurkiewicz andA. Krzywcki:Phys. Lett. B,243, 373 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  79. S. D. Odintsov:Phys. Lett. B,327, 63 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  80. I. M. Lichtzier andS. D. Odintsov:Yad. Fiz.(Sov. J. Nucl. Phys),51, 309 (1991).

    Google Scholar 

  81. K. Fujikawa, T. Inagaki andH. Suzuki:Phys. Lett. B,213, 279 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  82. H. Suzuki:Mod. Phys. Lett. A,4, 2085 (1989).

    Article  ADS  Google Scholar 

  83. A. A. Abouelsaood, C. G. Callan, C. R. Nappi andS. A. Yost:Nucl. Phys. B,294, 427 (1987)

    Article  MathSciNet  Google Scholar 

  84. C. P. Burgess:Nucl. Phys. B,294, 427 (1987).

    Article  ADS  Google Scholar 

  85. H. Kanasugi andH. Okada:Progr. Ther. Phys.,79, 1197 (1988).

    Article  ADS  Google Scholar 

  86. V. V. Nesterenko:Int. J. Mod. Phys. A,4, 2627 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  87. E. J. Ferrer, E. S. Fradkin andV. de la Incera: ICTP preprint 90/162, 1990.

  88. S. D. Odintsov, I. M. Lichtzier andA. A. Bytsenko:Yad. Fiz. (Sov. J. Nucl. Phys.), No. 11 (1991);Acta Physica Polon.,22, 761 (1991).

  89. R. Jackiw: inQuantum Theory of Gravity, edited byS. Christensen, A. Hilger, 1984;C. Teitelboim:ibid.

  90. A. H. Chamseddine:Phys. Lett. B,256, 379 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  91. A. H. Chamseddine andD. Wyler:Nucl. Phys. B,340, 595 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  92. I. M. Lichtzier andS. D. Odintsov:Mod. Phys. Lett. A,6, 1953 (1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  93. S. D. Odintsov andI. L. Shapiro:Phys. Lett. B.,263, 183 (1991);Europhys. Lett.,15, 575 (1991); Preprint FTUAM-91-33, 1991.

    Article  MathSciNet  ADS  Google Scholar 

  94. F. D. Mazzitelli andN. Mohammedi: ICTP preprint IC/91/238, 1991.

  95. D. J. Gross andI. R. Klebanov:Nucl. Phys. B,344, 475 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  96. M. Bershadsky andI. R. Klebanov:Phys. Rev. Lett.,65, 3088 (1990).

    Article  ADS  Google Scholar 

  97. N. Sakai andI. Tanii:Int. J. Mod. Phys. A,6, 2743 (1991);Preprint TIT-HEP-168, 1991, TIT-HEP-179, 1991.

    Article  MathSciNet  ADS  Google Scholar 

  98. E. Witten:Nucl. Phys. B,311, 46 (1988);323, 113 (1989).

    Article  ADS  MATH  Google Scholar 

  99. A. H. Chamseddine:Phys. Lett. B,258, 97 (1991); Preprint ZU-TH-13/1991, Zürich.

    Article  MathSciNet  ADS  Google Scholar 

  100. S. D. Odintsov:Europhys. Lett,18, 7 (1992);JETP Lett,54, 60 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  101. S. Weinberg: inGeneral Relativity, edited byS. W. Hawking andW. Israel (Cambridge University Press 1979).

  102. H. Kawai andM. Ninomiya:Nucl. Phys. B,336, 115 (1990);I. Jack andD. R. T. Jones: Preprint CERN-TH-5945/90.

    Article  MathSciNet  ADS  Google Scholar 

  103. R. J. Reigert:Phys. Lett. B,134, 56 (1984);E. S. Fradkin andA. A. Tseytlin:Phys. Lett. B,134, 187 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  104. I. L. Buchbinder, S. D. Odintsov andI. L. Shapiro:Phys. Lett. B,162, 95 (1985).

    Article  ADS  Google Scholar 

  105. S. D. Odintsov: preprint DAMTP/R-90/28;Izv. VUZov. Fiz. (Sov. Phys. J.),34, 5 (1991).

  106. N. D. Birrell andP. C. W. Davies:Quantum Fields in Curved Space (Cambridge University Press, 1982).

  107. S. D. Odintsov andI. L. Shapiro:Class. Quantum Grav.,8 (1991), L57.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  108. I. Antoniadis andE. Mottola: Preprint LA-UR-91-1653;Phys. Rev. D,45, 2013 (1992).

  109. S. D. Odintsov:Mod. Phys. Lett. A,6, 3191 (1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  110. A. H. Chamseddine andM. Reuter:Nucl. Phys. B,317, 757 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  111. A. A. Belavin, A. M. Polyakov andA. B. Zamolodchikov:Nucl. Phys. B,241, 333 (1984).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  112. J. L. Gervais andA. Neveu:Nucl. Phys. B,209, 125 (1982);224, 329 (1983);238, 125 (1984);264, 577 (1986);E. Braaten, T. Curtright, G. Ghandhour andC, Thorn:Ann. Phys. (N. Y.),153, 147 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  113. E. D’Hoker andR. Jackiw:Phys. Rev. D,26, 3517 (1982);E. D’Hoker, D. Z. Freedman andR. Jackiw:Phys. Rev. D,28, 2583 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  114. N. Seiberg:Prog. Theor. Phys. Suppl.,102, 319 (1990);J. Polchinski: inStrings 90, edited byR. Arnowitt et al. (World Scientific, Singapore, 1991);Nucl. Phys. B,357, 241 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  115. C. J. Ahn, Y.-J. Park, K. Y. Kim, Y. Kim, W.-T. Kim andB.-H. Cho:Phys. Rev. D,42, 1144 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  116. A. Helayël-Neto, S. Mokhtari andA. W. Smith:Phys. Lett. B,236, 12 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  117. V. G Knizhnik andA. B. Zamolodchikov:Nucl. Phys. B,247, 83 (1984).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  118. I. L. Buchbinder, S. D. Odintsov andI. L. Shapiro:Riv. Nuovo Cimento,12, 9 (1989).

    MathSciNet  Google Scholar 

  119. E. Witten:Comm. Math. Phys.,117, 353 (1988); Preprint IASSNS-HEP-89/66, 1989.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  120. J. Labastida, M. Pernici andE. Witten:Nucl. Phys. B,310, 611 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  121. D. Montano andJ. Sonnenschein:Nucl. Phys. B,324, 348 (1990);313, 258 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  122. R. Myers andV. Periwal:Nucl. Phys. B,333, 536 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  123. I. Antoniadis andC. Kounnas: preprint LPTENS 90/29, 1991.

  124. I. Antoniadis, C. Bachas, J. Ellis andD. Nanopoulos,Nucl. Phys. B,328, 115 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  125. J. G. Russo andA. A. Tseylin: preprint DAMTP-1-1992.

  126. L. Alvarez-Gaume andE. Witten:Nucl. Phys. B,324, 269 (1983);H. Leutwyler,Phys. Lett. B,153, 65 (1985).

    MathSciNet  Google Scholar 

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    S. D. Odintsov

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On leave from Tomsk Pedagogical Institute, Tomsk, Russia.

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Odintsov, S.D. String theory at nonzero temperature and two-dimensional gravity. Riv. Nuovo Cim. 15, 1–64 (1992). https://doi.org/10.1007/BF02742978

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