On the problem of particle production in c = 1 matrix model

Journal of High Energy Physics

Volumn 8, Issue 8, 2004, Pages 865-896

  Mukhopadhyay, Partha ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Bosonic Strings; Field Theories in Lower Dimensions; Matrix Models; Tachyon Condensation

Indexed keywords

EID: 23044498150     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/08/032     Document Type: Article

References (75)

1. J.L. Karczmarek and A. Strominger, Closed string tachyon condensation at c = 1, J. High Energy Phys. 05 (2004) 062 [hep-th/0403169].
2. S.R. Das, J.L. Davis, F. Larsen and P. Mukhopadhyay, Particle production in matrix cosmology, Phys. Rev. D 70 (2004) 044017 [hep-th/0403275].
3. J. Polchinski, String theory, vol. 1. An introduction to the bosonic string, SPIRES entry;
4. String theory, vol. 2. Superstring theory and beyond, SPIRES entry;
5. What is string theory?, hep-th/9411028.
6. I.R. Klebanov, String theory in two-dimensions, hep-th/9108019.
7. P.H. Ginsparg and G.W. Moore, Lectures on 2D gravity and 2D string theory, hep-th/9304011.
8. A. Jevicki, Development in 2D string theory, hep-th/9309115.
9. E. Brezin, C. Itzykson, G. Parisi and J.B. Zuber, Planar diagrams, Commun. Math. Phys. 59 (1978) 35;
10. D.J. Gross and N. Miljkovic, A nonperturbative solution of D = 1 string theory, Phys. Lett. B 238 (1990) 217;
11. E. Brezin, V.A. Kazakov and A.B. Zamolodchikov, Scaling violation in a field theory of closed strings in one physical dimension, Nucl. Phys. B 338 (1990) 673;
12. P.H. Ginsparg and J. Zinn-Justin, 2D gravity + 1D matter, Phys. Lett. B 240 (1990) 333.
13. T. Takayanagi and N. Toumbas, A matrix model dual of type 0B string theory in two dimensions, J. High Energy Phys. 07 (2003) 064 [hep-th/0307083].
14. M.R. Douglas et al., A new hat for the c = 1 matrix model, hep- th/0307195.
15. H. Dorn and H.J. Otto, On correlation functions for noncritical strings with c ≲ 1 d ≳ 1, Phys. Lett. B 291 (1992) 39 [hep-th/9206053].
16. H. Dorn and H.J. Otto, Two and three point functions in Liouville theory, Nucl. Phys. B 429 (1994) 375 [hep-th/9403141].
17. A.B. Zamolodchikov and A.B. Zamolodchikov, Structure constants and conformal bootstrap in Liouville field theory, Nucl. Phys. B 477 (1996) 577 [hep-th/9506136].
18. J. Teschner, Liouville theory revisited, Class. and Quant. Grav. 18 (2001) R153 [hep-th/0104158].
19. A.B. Zamolodchikov and A.B. Zamolodchikov, Liouville field theory on a pseudosphere, hep-th/0101152;
20. T. Fukuda and K. Hosomichi, Super liouville theory with boundary, Nucl. Phys. B 635 (2002) 215 [hep-th/0202032];
21. C. Ahn, C. Rim and M. Stanishkov, Exact one-point function of N = 1 super- Liouville theory with boundary, Nucl. Phys. B 636 (2002) 497 [hep-th/0202043].
22. E.J. Martinec, The annular report on non-critical string theory, hep-th/0305148.
23. S.Y. Alexandrov, V.A. Kazakov and D. Kutasov, Non-perturbative effects in matrix models and D-branes, J. High Energy Phys. 09 (2003) 057 [hep-th/0306177].
24. J. McGreevy and H. Verlinde, Strings from tachyons: the c = 1 matrix reloaded, J. High Energy Phys. 12 (2003) 054 [hep-th/0304224].
25. I.R. Klebanov, J. Maldacena and N. Seiberg, D-brane decay in two- dimensional string theory, J. High Energy Phys. 07 (2003) 045 [hep-th/0305159].
26. A. Sen, Open-closed duality: lessons from matrix model, Mod. Phys. Lett. A 19 (2004) 841 [hep-th/0308068].
27. V. Schomerus, Rolling tachyons from Liouville theory, J. High Energy Phys. 11 (2003) 043 [hep-th/0306026];
28. D. Gaiotto, N. Itzhaki and L. Rastelli, On the bCFT description of holes in the c = 1 matrix model, Phys. Lett. B 575 (2003) 111 [hep-th/0307221];
29. M. Gutperle and P. Kraus, D-brane dynamics in the c = 1 matrix model, Phys. Rev. D 69 (2004) 066005 [hep-th/0308047];
30. O. DeWolfe, R. Roiban, M. Spradlin, A. Volovich and J. Walcher, On the S- matrix of type 0 string theory, J. High Energy Phys. 11 (2003) 012 [hep-th/0309148];
31. S. Dasgupta and T. Dasgupta, Renormalization group approach to c = 1 matrix model on a circle and D-brane decay, hep-th/0310106;
32. D.J. Gross and J. Walcher, Non-perturbative RR potentials in the c(hat) = 1 matrix model, J. High Energy Phys. 06 (2004) 043 [hep-th/0312021];
33. J. de Boer, A. Sinkovics, E. Verlinde and J.T. Yee, String interactions in c = 1 matrix model, J. High Energy Phys. 03 (2004) 023 [hep-th/0312135];
34. J. Ambjørn and R.A. Janik, The decay of quantum D-branes, Phys. Lett. B 584 (2004) 155 [hep-th/0312163];
35. G. Mandal and S.R. Wadia, Rolling tachyon solution of two-dimensional string theory, J. High Energy Phys. 05 (2004) 038 [hep-th/0312192];
36. S.R. Das, D-branes in 2D string theory and classical limits, hep-th/0401067;
37. A. Sen, Rolling tachyon boundary state, conserved charges and two dimensional string theory, J. High Energy Phys. 05 (2004) 076 [hep-th/0402157];
38. T. Takayanagi, Notes on D-branes in 2D type 0 string theory, J. High Energy Phys. 05 (2004) 063 [hep-th/0402196].
39. A. Sen, Rolling tachyon, J. High Energy Phys. 04 (2002) 048 [hep- th/0203211];
40. Tachyon matter, J. High Energy Phys. 07 (2002) 065 [hep-th/0203265].
41. D. Minic, J. Polchinski and Z. Yang, Translation invariant backgrounds in (1+1)-dimensional string theory, Nucl. Phys. B 369 (1992) 324.
42. G.W. Moore and R. Plesser, Classical scattering in (1+1)-dimensional string theory, Phys. Rev. D 46 (1992) 1730 [hep-th/9203060].
43. S.Y. Alexandrov, V.A. Kazakov and I.K. Kostov, Time-dependent backgrounds of 2D string theory, Nucl. Phys. B 640 (2002) 119 [hep-th/0205079].
44. J.L. Karczmarek and A. Strominger, Matrix cosmology, J. High Energy Phys. 04 (2004) 055 [hep-th/0309138].
45. J.L. Karczmarek, A. Maloney and A. Strominger, Hartle-Hawking vacuum for c = 1 tachyon condensation, hep-th/0405092.
46. M. Ernebjerg, J.L. Karczmarek and J.M. Lapan, Collective field description of matrix cosmologies, hep-th/0405187.
47. D.J. Gross and I.R. Klebanov, S = 1 for c = 1, Nucl. Phys. B 359 (1991) 3.
48. G.W. Moore, Double scaled field theory at c = 1, Nucl. Phys. B 368 (1992) 557.
49. K. Demeterfi, A. Jevicki and J.P. Rodrigues, Scattering amplitudes and loop corrections in collective string field theory, Nucl. Phys. B 362 (1991) 173;
50. Scattering amplitudes and loop corrections in collective string field theory, 2, Nucl. Phys. B 365 (1991) 499;
51. Perturbative results of collective string field theory, Mod. Phys. Lett. A 6 (1991) 3199.
52. A.M. Sengupta and S.R. Wadia, Excitations and interactions in D = 1 string theory, Int. J. Mod. Phys. A 6 (1991) 1961;
53. G. Mandal, A.M. Sengupta and S.R. Wadia, Interactions and scattering in D = 1 string theory, Mod. Phys. Lett. A 6 (1991) 1465.
54. P. Di Francesco and D. Kutasov, Correlation functions in 2D string theory, Phys. Lett. B 261 (1991) 385.
55. J. Polchinski, Classical limit of (1+1)-dimensional string theory, Nucl. Phys. B 362 (1991) 125.
56. J. Polchinski, On the nonperturbative consistency of D = 2 string theory, Phys. Rev. Lett. 74 (1995) 638 [hep-th/9409168].
57. N. Seiberg, Notes on quantum Liouville theory and quantum gravity, Prog. Theor. Phys. Suppl. 102 (1990) 319.
58. J. Polchinski, Remarks on the Liouville field theory, UTTG-19-90 SPIRES entry, presented at Strings '90 Conf., college station, tx, Mar 12-17, 1990.
59. A. Jevicki and B. Sakita, The quantum collective field method and its application to the planar limit, Nucl. Phys. B 165 (1980) 511.
60. I. Andric and V. Bardek, 1/N corrections in the matrix model and the quantum collective field, Phys. Rev. D 32 (1985) 1025.
61. S.R. Das and A. Jevicki, String field theory and physical interpretation of D = 1 strings, Mod. Phys. Lett. A 5 (1990) 1639.
62. D.J. Gross and I.R. Klebanov, Fermionic string field theory of c = 1 two-dimensional quantum gravity, Nucl. Phys. B 352 (1991) 671.
63. [4l] A.M. Polyakov, Selftuning fields and resonant correlations in 2D gravity, Mod. Phys. Lett. A 6 (1991) 635.
64. B.S. Dewitt, Quantum field theory in curved space-time, Phys. Rept. 19 (1975) 295.
65. P.C. W. Davies and S.A. Fulling, Radiation from a moving mirror in two-dimensional space-time conformal anomaly, Proc. Roy. Soc. Land. A 348 (1976) 393.
66. P.C.W. Davies and S.A. Fulling, Radiation from moving mirrors and from black holes, Proc. Roy. Soc. Land. A 356 (1977) 237.
67. N.D. Birrell and P.C.W. Davies, Quantum fields in curved space, SPIRES entry.
68. R.M. Wald, General relativity, SPIRES entry.
69. S.W. Hawking, Particle creation by black holes, Commun. Math. Phys. 43 (1975) 199.
70. J. Polchinski, Critical behavior of random surfaces in one-dimension, Nucl. Phys. B 346 (1990) 253.
71. J. Avan and A. Jevicki, Classical integrability and higher symmetries of collective string field theory, Phys. Lett. B 266 (1991) 35;
72. E. Witten, Ground ring of two-dimensional string theory, Nucl. Phys. B 373 (1992) 187 [hep-th/9108004];
73. G.W. Moore and N. Seiberg, From loops to fields in 2D quantum gravity, Int. J. Mod. Phys. A 7 (1992) 2601;
74. S.R. Das, A. Dhar, G. Mandal and S.R. Wadia, Gauge theory formulation of the c = 1 matrix model: symmetries and discrete states, Int. J. Mod. Phys. A 7 (1992) 5165 [hep-th/9110021];
75. S.R. Das, A. Dhar, G. Mandal and S.R. Wadia, W infinity ward identities and correlation functions in the c = 1 matrix model, Mod. Phys. Lett. A 7 (1992) 937 [hep- th/9112052].