The superstring Hagedorn temperature in a pp-wave background

Journal of High Energy Physics

Volumn 7, Issue 6, 2003, Pages 147-169

  Grignani, Gianluca ^a   Orselli, Marta ^a   Semenoff, Gordon W ^b   Trancanelli, Diego ^c  

^a UNIVERSITY OF PERUGIA   (Italy)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^c STONY BROOK UNIVERSITY   (United States)

Author keywords

Penrose limit and pp wave background; String Duality

Indexed keywords

EID: 23144437908     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/06/006     Document Type: Article

References (63)

1. R. Hagedorn, Statistical thermodynamics of strong interactions at high-energies, Nuovo Cim. Suppl. 3 (1965) 147.
2. K. Huang and S. Weinberg, Ultimate temperature and the early universe, Phys. Rev. Lett. 25 (1970) 895.
3. R.R. Metsaev, Type-IIB Green-Schwarz superstring in plane wave Ramond-Ramond background, Nucl. Phys. B 625 (2002) 70 [hep-th/0112044].
4. R.R. Metsaev and A.A. Tseytlin, Exactly solvable model of superstring in plane wave Ramond-Ramond background, Phys. Rev. D 65 (2002) 126004 [hep-th/0202109].
5. L.A. Pando Zayas and D. Vaman, Strings in RR plane wave background at finite temperature, Phys. Rev. D 67 (2003) 106006 [hep-th/0208066].
6. B.R. Greene, K. Schalm and G. Shiu, On the Hagedorn behaviour of PP-wave strings and N = 4 sym theory at finite R-charge density, Nucl. Phys. B 652 (2003) 105 [hep-th/0208163].
7. Y. Sugawara, Thermal amplitudes in dlcq superstrings on PP-waves, Nucl. Phys. B 650 (2003) 75 [hep-th/0209145].
8. R.C. Brower, D.A. Lowe and C.-I. Tan, Hagedorn transition for strings on PP-waves and tori with chemical potentials, Nucl. Phys. B 652 (2003) 127 [hep-th/0211201].
9. Y. Sugawara, Thermal partition function of superstring on compactified PP-wave, hep-th/0301035.
10. A.M. Polyakov, Gauge fields and strings, Harwood 1990, http://www.slac.stanford.edu/spires/find/hep/www?irn=1850164.
11. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200].
12. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109].
13. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
14. D. Berenstein, J.M. Maldacena and H. Nastase, Strings in flat space and PP waves from N = 4 super Yang-Mills, J. High Energy Phys. 04 (2002) 013 [hep-th/0202021].
15. M. Spradlin and A. Volovich, Superstring interactions in a PP-wave background, Phys. Rev. D 66 (2002) 086004 [hep-th/0204146].
16. C. Kristjansen, J. Plefka, G.W. Semenoff and M. Staudacher, A new double-scaling limit of N = 4 super Yang-Mills theory and PP-wave strings, Nucl. Phys. B 643 (2002) 3 [hep-th/0205033].
17. D.J. Gross, A. Mikhailov and R. Roiban, Operators with large r charge in N = 4 Yang-Mills theory, Ann. Phys. (NY) 301 (2002) 31 [hep-th/0205066].
18. N.R. Constable et al., PP-wave string interactions from perturbative Yang-Mills theory, J. High Energy Phys. 07 (2002) 017 [hep-th/0205089].
19. M. Spradlin and A. Volovich, Superstring interactions in a PP-wave background, II, J. High Energy Phys. 01 (2003) 036 [hep-th/0206073].
20. A. Santambrogio and D. Zanon, Exact anomalous dimensions of N = 4 Yang-Mills operators with large r charge, Phys. Lett. B 545 (2002) 425 [hep-th/0206079].
21. J.A. Minahan and K. Zarembo, The bethe-ansatz for N = 4 super Yang-Mills, J. High Energy Phys. 03 (2003) 013 [hep-th/0212208].
22. N. Beisert, C. Kristjansen, J. Plefka, G.W. Semenoff and M. Staudacher, Bmn correlators and operator mixing in N = 4 super yang- mills theory, Nucl. Phys. B 650 (2003) 125 [hep-th/0208178].
23. D.J. Gross, A. Mikhailov and R. Roiban, A calculation of the plane wave string hamiltonian from N = 4 super- Yang-Mills theory, hep-th/0208231.
24. N.R. Constable, D.Z. Freedman, M. Headrick and S. Minwalla, Operator mixing and the BMN correspondence, J. High Energy Phys. 10 (2002) 068 [hep-th/0209002].
25. N. Beisert, Bmn operators and superconformal symmetry, hep-th/0211032.
26. N. Beisert, C. Kristjansen, J. Plefka and M. Staudacher, Bmn gauge theory as a quantum mechanical system, Phys. Lett. B 558 (2003) 229 [hep-th/0212269].
27. J. Pearson, M. Spradlin, D. Vaman, H. Verlinde and A. Volovich, Tracing the string: BMN correspondence at finite j**2/n, hep-th/0210102.
28. J. Gomis, S. Moriyama and J.-w. Park, Sym description of SFT hamiltonian in a PP-wave background, hep-th/0210153.
29. A. Pankiewicz and J. Stefanski, B., PP-wave light-cone superstring field theory, Nucl. Phys. B 657 (2003) 79 [hep-th/0210246].
30. Y.-H. He, J.H. Schwarz, M. Spradlin and A. Volovich, Explicit formulas for neumann coefficients in the plane- wave geometry, Phys. Rev. D 67 (2003) 086005 [hep-th/0211198].
31. C.-S. Chu and V.V. Khoze, Correspondence between the 3-point bmn correlators and the 3-string vertex on the PP-wave, J. High Energy Phys. 04 (2003) 014 [hep-th/0301036].
32. R. Roiban, M. Spradlin and A. Volovich, On light-cone sft contact terms in a plane wave, hep-th/0211220.
33. S.-M. Lee, S. Minwalla, M. Rangamani and N. Seiberg, Three-point functions of chiral operators in D = 4, N = 4 sym at large-N, Adv. Theor. Math. Phys. 2 (1998) 697 [hep-th/9806074].
34. D.Z. Freedman, S.D. Mathur, A. Matusis and L. Rastelli, Correlation functions in the CFT(d)/ADS(d + 1) correspondence, Nucl. Phys. B 546 (1999) 96 [hep-th/9804058].
35. G. Chalmers, H. Nastase, K. Schalm and R. Siebelink, R-current correlators in N = 4 super Yang-Mills theory from anti-de Sitter supergravity, Nucl. Phys. B 540 (1999) 247 [hep-th/9805105].
36. J.K. Erickson, G.W. Semenoff and K. Zarembo, Wilson loops in N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 582 (2000) 155 [hep-th/0003055].
37. N. Drukker and D.J. Gross, An exact prediction of N = 4 susym theory for string theory, J. Math. Phys. 42 (2001) 2896 [hep-th/0010274].
38. G.W. Semenoff and K. Zarembo, More exact predictions of SUSYM for string theory, Nucl. Phys. B 616 (2001) 34 [hep-th/0106015].
39. J.J. Atick and E. Witten, The Hagedorn transition and the number of degrees of freedom of string theory, Nucl. Phys. B 310 (1988) 291.
40. A.M. Polyakov, Thermal properties of gauge fields and quark liberation, Phys. Lett. B 72 (1978) 477.
41. L. Susskind, Lattice models of quark confinement at high temperature, Phys. Rev. D 20 (1979) 2610.
42. B. Svetitsky and L.G. Yaffe, Critical behavior at finite temperature confinement transitions, Nucl. Phys. B 210 (1982) 423.
43. G. Grignani, G.W. Semenoff and P. Sodano, Confinement - deconfinement transition in three-dimensional QED, Phys. Rev. D 53 (1996) 7157 [hep-th/9504105].
44. G. Grignani, G.W. Semenoff, P. Sodano and O. Tirkkonen, Charge screening in the finite temperature schwinger model, Int. J. Mod. Phys. A 11 (1996) 4103 [hep-th/9511110].
45. G. Grignani, G.W. Semenoff, P. Sodano and O. Tirkkonen, Charge screening and confinement in the hot 3D-QED, Nucl. Phys. B 473 (1996) 143 [hep-th/9512048].
46. G.W. Semenoff, O. Tirkkonen and K. Zarembo, Exact solution of the one-dimensional non-abelian coulomb gas at large-N, Phys. Rev. Lett. 77 (1996) 2174 [hep-th/9605172].
47. G.W. Semenoff and K. Zarembo, Adjoint non-abelian coulomb gas at large-N, Nucl. Phys. B 480 (1996) 317 [hep-th/9606117].
48. D.J. Gross and E. Witten, Possible third order phase transition in the large-N lattice gauge theory, Phys. Rev. D 21 (1980) 446.
49. A.M. Polyakov, Gauge fields and space-time, Int. J. Mod. Phys. A17S1 (2002) 119-136 [hep-th/0110196].
50. S.W. Hawking and D.N. Page, Thermodynamics of black holes in anti-de sitter space, Commun. Math. Phys. 87 (1983) 577.
51. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131].
52. G. Grignani, M. Orselli and G.W. Semenoff, Matrix strings in a B-field, J. High Energy Phys. 07 (2001) 004 [hep-th/0104112].
53. G. Grignani, M. Orselli and G.W. Semenoff, The target space dependence of the hagedorn temperature, J. High Energy Phys. 11 (2001) 058 [hep-th/0110152].
54. G. De Risi, G. Grignani and M. Orselli, Space/time noncommutativity in string theories without background electric field, J. High Energy Phys. 12 (2002) 031 [hep-th/0211056].
55. J.G. Russo and A.A. Tseytlin, On solvable models of type-IIB superstring in NS-NS and RR plane wave backgrounds, J. High Energy Phys. 04 (2002) 021 [hep-th/0202179].
56. G. Grignani, P. Orland, L.D. Paniak and G.W. Semenoff, Matrix theory interpretation of DLCQ string worldsheets, Phys. Rev. Lett. 85 (2000) 3343 [hep-th/0004194].
57. G. Grignani and G.W. Semenoff, Thermodynamic partition function of matrix superstrings, Nucl. Phys. B 561 (1999) 243 [hep-th/9903246].
58. E. Alvarez, Strings at finite temperature, Nucl. Phys. B 269 (1986) 596.
59. E. Alvarez and M.A.R. Osorio, Superstrings at finite temperature, Phys. Rev. D 36 (1987) 1175.
60. T. Takayanagi, Modular invariance of strings on PP-waves with RR-flux, J. High Energy Phys. 12 (2002) 022 [hep-th/0206010].
61. I.S. Gradstheyn and I.M. Ryzhik, Table of integrals, series and products, Academic Press, New York 2000.
62. C.R. Nappi and E. Witten, A WZW model based on a nonsemisimple group, Phys. Rev. Lett. 71 (1993) 3751 [hep-th/9310112].
63. A.P. Prudnikov, Yu.A. Brychkov and O.I. Marichev, Integrals and series, Gordon and Breach Science Publishers, New York 1986.