Caustic formation in tachyon effective field theories

Journal of High Energy Physics

Volumn 8, Issue 7, 2004, Pages 579-601

  Barnaby, Neil ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

D branes; String Field Theory; Tachyon Condensation

Indexed keywords

EID: 22144488470     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/07/025     Document Type: Article

References (95)

1. M. Fairbairn and M.H.G. Tytgat, Inflation from a tachyon fluid?, Phys. Lett. B 546 (2002) 1 [hep-th/0204070];
2. S. Mukohyama, Brane cosmology driven by the rolling tachyon, Phys. Rev. D 66 (2002) 024009 [hep-th/0204084];
3. A. Feinstein, Power-law inflation from the rolling tachyon, Phys. Rev. D 66 (2002) 063511 [hep-th/0204140];
4. T. Padmanabhan, Accelerated expansion of the universe driven by tachyonic matter, Phys. Rev. D 66 (2002) 021301 [hep-th/0204150];
5. D. Choudhury, D. Ghoshal, D.P. Jatkar and S. Panda, On the cosmological relevance of the tachyon, Phys. Lett. B 544 (2002) 231 [hep-th/0204204];
6. X.-z. Li, J.-g. Hao and D.-j. Liu, Can quintessence be the rolling tachyon?, Chin. Phys. Lett. 19 (2002) 1584 [hep-th/0204252];
7. H.B. Benaoum, Accelerated universe from modified Chaplygin gas and tachyonic fluid, hep-th/0205140;
8. M. Sami, Implementing power law inflation with rolling tachyon on the brane, Mod. Phys. Lett. A 18 (2003) 691 [hep-th/0205146];
9. M. Sami, P. Chingangbam and T. Qureshi, Aspects of tachyonic inflation with exponential potential, Phys. Rev. D 66 (2002) 043530 [hep-th/0205179];
10. J.-c. Hwang and H. Noh, Cosmological perturbations in a generalized gravity including tachyonic condensation, Phys. Rev. D 66 (2002) 084009 [hep-th/0206100];
11. M. Sami, Implementing power law inflation with rolling tachyon on the brane, Mod. Phys. Lett. A 18 (2003) 691 [hep-th/0205146];
12. M. Sami, P. Chingangbam and T. Qureshi, Aspects of tachyonic inflation with exponential potential, Phys. Rev. D 66 (2002) 043530 [hep-th/0205179];
13. C.-j. Kim, H.B. Kim, Y.-b. Kim and O.-K. Kwon, Cosmology of rolling tachyon, hep-th/0301142;
14. A. Das and A. DeBenedictis, Inhomogeneous cosmologies with tachyonic dust as dark matter, gr-qc/0304017;
15. V. Gorini, A.Y. Kamenshchik, U. Moschella and V. Pasquier, Tachyons, scalar fields and cosmology, Phys. Rev. D 69 (2004) 123512 [hep-th/0311111];
16. B.C. Paul and M. Sami, A note on inflation with tachyon rolling on the gauss- bonnet brane, hep-th/0312081;
17. C. Kim, H.B. Kim, Y. Kim, O.-K. Kwon and C.O. Lee, Unstable D-branes and string cosmology, hep-th/0404242.
18. G.W. Gibbons, Thoughts on tachyon cosmology, Class. Quant. Grav. 20 (2003) S321-S346 [hep-th/0301117];
19. A. Sen, Remarks on tachyon driven cosmology, hep-th/0312153.
20. A.V. Frolov, L. Kofman and A.A. Starobinsky, Prospects and problems of tachyon matter cosmology, Phys. Lett. B 545 (2002) 8 [hep-th/0204187];
21. G. Shiu and I. Wasserman, Cosmological constraints on tachyon matter, Phys. Lett. B 541 (2002) 6 [hep-th/0205003];
22. L. Kofman and A. Linde, Problems with tachyon inflation, J. High Energy Phys. 07 (2002) 004 [hep-th/0205121].
23. G.R. Dvali and S.H.H. Tye, Brane inflation, Phys. Lett. B 450 (1999) 72 [hep-ph/9812483];
24. S.H.S. Alexander, Inflation from D- anti-D brane annihilation, Phys. Rev. D 65 (2002) 023507 [hep-th/0105032];
25. A. Mazumdar, S. Panda and A. Perez-Lorenzana, Assisted inflation via tachyon condensation, Nucl. Phys. B 614 (2001) 101 [hep-ph/0107058];
26. C.P. Burgess et al., The inflationary brane-antibrane universe, J. High Energy Phys. 07 (2001) 047 [hep-th/0105204];
27. G.R. Dvali, Q. Shafi and S. Solganik, D-brane inflation, hep-th/0105203;
28. C. Herdeiro, S. Hirano and R. Kallosh, String theory and hybrid inflation/acceleration, J. High Energy Phys. 12 (2001) 027 [hep-th/0110271];
29. B.-s. Kyae and Q. Shafi, Branes and inflationary cosmology, Phys. Lett. B 526 (2002) 379 [hep-ph/0111101];
30. C.P. Burgess, P. Martineau, F. Quevedo, G. Rajesh and R.J. Zhang, Brane antibrane inflation in orbifold and orientifold models, J. High Energy Phys. 03 (2002) 052 [hep-th/0111025];
31. J. Garcia-Bellido, R. Rabadán and F. Zamora, Inflationary scenarios from branes at angles, J. High Energy Phys. 01 (2002) 036 [hep-th/0112147];
32. R. Blumenhagen, B. Körs, D. Lust and T. Ott, Hybrid inflation in intersecting brane worlds, Nucl. Phys. B 641 (2002) 235 [hep-th/0202124];
33. K. Dasgupta, C. Herdeiro, S. Hirano and R. Kallosh, D3/D7 inflationary model and M-theory, Phys. Rev. D 65 (2002) 126002 [hep-th/0203019];
34. N. Jones, H. Stoica and S.H.H. Tye, Brane interaction as the origin of inflation, J. High Energy Phys. 07 (2002) 051 [hep-th/0203163];
35. N.T. Jones, H. Stoica and S.H.H. Tye, The production, spectrum and evolution of cosmic strings in brane inflation, Phys. Lett. B 563 (2003) 6 [hep-th/0303269];
36. N. Jones, H. Stoica and S.H.H. Tye, Brane interaction as the origin of inflation, J. High Energy Phys. 07 (2002) 051 [hep-th/0203163];
37. M. Gomez-Reino and I. Zavala, Recombination of intersecting D-branes and cosmological inflation, J. High Energy Phys. 09 (2002) 020 [hep-th/0207278];
38. S. Kachru, R. Kallosh, A. Linde and S.P. Trivedi, De Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240];
39. S. Kachru et al., Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055];
40. J.P. Hsu, R. Kallosh and S. Prokushkin, On brane inflation with volume stabilization, JCAP 12 (2003) 009;
41. H. Firouzjahi and S.H.H. Tye, Closer towards inflation in string theory, Phys. Lett. B 584 (2004) 147 [hep-th/0312020];
42. E. Halyo, D-brane inflation on conifolds, hep-th/0402155;
43. C.P. Burgess, J.M. Cline, H. Stoica and F. Quevedo, Inflation in realistic D-brane models, hep-th/0403119;
44. A. Buchel and A. Ghodsi, Braneworld inflation, hep-th/0404151.
45. S. Sarangi and S.H.H. Tye, Cosmic string production towards the end of brane inflation, Phys. Lett. B 536 (2002) 185 [hep-th/0204074];
46. M. Majumdar and A. Christine-Davis, Cosmological creation of D-branes and anti-d-branes, J. High Energy Phys. 03 (2002) 056 [hep-th/0202148];
47. G. Dvali and A. Vilenkin, Formation and evolution of cosmic D-strings, JCAP 03 (2004) 010 [hep-th/0312007];
48. E.J. Copeland, R.C. Myers and J. Polchinski, Cosmic F- and D-strings, J. High Energy Phys. 06 (2004) 013 [hep-th/0312067];
49. E. Halyo, Cosmic d-term strings as wrapped d3 branes, J. High Energy Phys. 03 (2004) 047 [hep-th/0312268];
50. L. Leblond and S.H.H. Tye, Stability of D1-strings inside a D3-brane, J. High Energy Phys. 03 (2004) 055 [hep-th/0402072].
51. J.M. Cline, H. Firouzjahi and P. Martineau, Reheating from tachyon condensation, J. High Energy Phys. 11 (2002) 041 [hep-th/0207156].
52. N. Barnaby and J.M. Cline, Creating the universe from brane-antibrane annihilation, hep-th/0403223.
53. N. Moeller and B. Zwiebach, Dynamics with infinitely many time derivatives and rolling tachyons, J. High Energy Phys. 10 (2002) 034 [hep-th/0207107].
54. G.N. Felder, L. Kofman and A. Starobinsky, Caustics in tachyon matter and other Born-Infeld scalars, J. High Energy Phys. 09 (2002) 026 [hep-th/0208019];
55. G.N. Felder and L. Kofman, Inhomogeneous fragmentation of the rolling tachyon, hep-th/0403073.
56. J.M. Cline and H. Firouzjahi, Real-time D-brane condensation, Phys. Lett. B 564 (2003) 255 [hep-th/0301101].
57. A. Buchel, P. Langfelder and J. Walcher, Does the tachyon matter?, Ann. Phys. (NY) 302 (2002) 78 [hep-th/0207235];
58. A. Buchel and J. Walcher, Comments on supergravity description of s-branes, J. High Energy Phys. 05 (2003) 069 [hep-th/0305055].
59. M.R. Garousi, Tachyon couplings on non-BPS D-branes and Dirac-Born-Infeld action, Nucl. Phys. B 584 (2000) 284 [hep-th/0003122];
60. E.A. Bergshoeff, M. de Roo, T.C. de Wit, E. Eyras and S. Panda, T-duality and actions for non-BPS D-branes, J. High Energy Phys. 05 (2000) 009 [hep-th/0003221];
61. J. Kluson, Proposal for non-BPS D-brane action, Phys. Rev. D 62 (2000) 126003 [hep-th/0004106];
62. A. Sen, Tachyon matter, J. High Energy Phys. 07 (2002) 065 [hep-th/0203265].
63. A. Sen, Field theory of tachyon matter, Mod. Phys. Lett. A 17 (2002) 1797 [hep-th/0204143].
64. A. Sen, Dirac- Born-Infeld action on the tachyon kink and vortex, Phys. Rev. D 68 (2003) 066008 [hep-th/0303057].
65. S. Mukohyama, Inhomogeneous tachyon decay, light-cone structure and D-brane network problem in tachyon cosmology, Phys. Rev. D 66 (2002) 123512 [hep-th/0208094];
66. P. Brax, J. Mourad and D.A. Steer, Tachyon kinks on non BPS D-branes, Phys. Lett. B 575 (2003) 115 [hep-th/0304197];
67. C. Kim, Y. Kim, O.-K. Kwon and C.O. Lee, Tachyon kinks on unstable Dp-branes, J. High Energy Phys. 11 (2003) 034 [hep-th/0305092];
68. E.J. Copeland, P.M. Saffin and D.A. Steer, Singular tachyon kinks from regular profiles, Phys. Rev. D 68 (2003) 065013 [hep-th/0306294];
69. P. Brax, J. Mourad and D.A. Steer, On tachyon kinks from the DBI action, hep-th/0310079.
70. G.W. Gibbons, K. Hori and P. Yi, String fluid from unstable D-branes, Nucl. Phys. B 596 (2001) 136 [hep-th/0009061];
71. G. Gibbons, K. Hashimoto and P. Yi, Tachyon condensates, carrollian contraction of Lorentz group and fundamental strings, J. High Energy Phys. 09 (2002) 061 [hep-th/0209034];
72. O.-K. Kwon and P. Yi, String fluid, tachyon matter and domain walls, J. High Energy Phys. 09 (2003) 003 [hep-th/0305229].
73. D. Kutasov and V. Niarchos, Tachyon effective actions in open string theory, Nucl. Phys. B 666 (2003) 56 [hep-th/0304045];
74. M. Smedback, On effective actions for the bosonic tachyon, J. High Energy Phys. 11 (2003) 067 [hep-th/0310138].
75. A. Sen, Rolling tachyon, J. High Energy Phys. 04 (2002) 048 [hep-th/0203211];
76. N. Lambert, H. Liu and J. Maldacena, Closed strings from decaying D-branes, hep-th/0303139;
77. F. Larsen, A. Naqvi and S. Terashima, Rolling tachyons and decaying branes, J. High Energy Phys. 02 (2003) 039 [hep-th/0212248].
78. D. Kutasov, M. Marino and G.W. Moore, Some exact results on tachyon condensation in string field theory, J. High Energy Phys. 10 (2000) 045 [hep-th/0009148];
79. Remarks on tachyon condensation in superstring field theory, hep-th/0010108.
80. A. Ishida and S. Uehara, Rolling down to D-brane and tachyon matter, J. High Energy Phys. 02 (2003) 050 [hep-th/0301179].
81. S. Sugimoto and S. Terashima, Tachyon matter in boundary string field theory, J. High Energy Phys. 07 (2002) 025 [hep-th/0205085];
82. J.A. Minahan, Rolling the tachyon in super BSFT, J. High Energy Phys. 07 (2002) 030 [hep-th/0205098].
83. N.B. Lambert and I. Sachs, On higher derivative terms in tachyon effective actions, J. High Energy Phys. 06 (2001) 060 [hep-th/0104218];
84. Tachyon dynamics and the effective action approximation, Phys. Rev. D 67 (2003) 026005 [hep-th/0208217].
85. M. Laidlaw and M. Nishimura, Comments on higher derivative terms for the tachyon action, hep-th/0403269.
86. L. Brekke, P.G.O. Freund, M. Olson and E. Witten, Nonarchimedean string dynamics, Nucl. Phys. B 302 (1988) 365.
87. A.A. Gerasimov and S.L. Shatashvili, On exact tachyon potential in open string field theory, J. High Energy Phys. 10 (2000) 034 [hep-th/0009103].
88. D. Ghoshal and A. Sen, Tachyon condensation and brane descent relations in p-adic string theory, Nucl. Phys. B 584 (2000) 300 [hep-th/0003278].
89. J.A. Minahan, Mode interactions of the tachyon condensate in p-adic string theory, J. High Energy Phys. 03 (2001) 028 [hep-th/0102071];
90. N. Moeller and M. Schnabl, Tachyon condensation in open-closed p-adic string theory, J. High Energy Phys. 01 (2004) 011 [hep-th/0304213].
91. V.S. Vladimirov and Y.I. Volovich, On the nonlinear dynamical equation in the p-adic string theory, Theor. Math. Phys. 138 (2004) 297 [math-ph/0306018].
92. R. Courant and D. Hilbert, Methods of mathematical physics, vol. 1, Wiley-Interscience Publ., New York 1989.
93. N.N. Lebedev, Special functions and their applications, Prentice-Hall, INC., Englewood Cliffs 1965;
94. L.C. Andrews, Special functions for engineers and applied mathematicians, Macmillan publishing company, New York 1985.
95. R. Courant and D. Hilbert, Methods of mathematical physics, vol. 2, Wiley-Interscience Publ., New York 1989.