Nonequilibrium dynamics of strings in time-dependent plane wave backgrounds. (English) Zbl 1246.81289
Summary: We formulate and study the nonequilibrium dynamics of strings near the singularity of the time-dependent plane wave background in the framework of the Nonequilibrium Thermo Field Dynamics (NETFD). In particular, we construct the Hilbert space of the thermal string oscillators at nonequilibrium and generalize the NETFD to describe the coordinates of the center of mass of the thermal string. The equations of motion of the thermal fields and the Hamiltonian are derived. Due to the time-dependence of the oscillator frequencies, a counterterm is present in the Hamiltonian. This counterterm determines the correlation functions in a perturbative fashion. We compute the two point correlation function of the thermal string at zero order in the power expansion.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T28 | Thermal quantum field theory |
| 81T15 | Perturbative methods of renormalization applied to problems in quantum field theory |
| 82C35 | Irreversible thermodynamics, including Onsager-Machlup theory |
References:
| [1] | H.J. de Vega, N.G. Sanchez, in: Erice 1995, String Gravity and Physics at the Planck Energy Scale, pp. 11-63, arXiv:hep-th/9512074; H.J. de Vega, N.G. Sanchez, in: Erice 1995, String Gravity and Physics at the Planck Energy Scale, pp. 11-63, arXiv:hep-th/9512074 |
| [2] | Blau, M.; Figueroa-OʼFarrill, J. M.; Hull, C.; Papadopoulos, G., Class. Quant. Grav., 19, L87 (2002) · Zbl 1007.83040 |
| [3] | Russo, J. G.; Tseytlin, A. A., JHEP, 0209, 035 (2002) |
| [4] | Papadopoulos, G.; Russo, J. G.; Tseytlin, A. A., Class. Quant. Grav., 20, 969-1016 (2003) · Zbl 1026.83025 |
| [5] | Craps, B.; De Roo, F.; Evnin, O., JHEP, 0903, 105 (2009) |
| [6] | Craps, B.; Kutasov, D.; Rajesh, G., JHEP, 0206, 053 (2002) |
| [7] | Narayan, K., Phys. Rev. D, 81, 066005 (2010) |
| [8] | Narayan, K., JHEP, 1101, 145 (2011) |
| [9] | Craps, B.; Evnin, O. |
| [10] | Gadelha, A. L.; Marchioro, D. Z.; Nedel, D. L., Phys. Lett. B, 639, 383-388 (2006) · Zbl 1248.81168 |
| [11] | Pando Zayas, L. A.; Vaman, D., Phys. Rev. D, 67, 106006 (2003) |
| [12] | Greene, B. R.; Schalm, K.; Shiu, G., Nucl. Phys. B, 652, 105 (2003) · Zbl 1010.81066 |
| [13] | Sugawara, Y., Nucl. Phys. B, 650, 75 (2003) · Zbl 1005.81070 |
| [14] | Sugawara, Y., Nucl. Phys. B, 661, 191 (2003) · Zbl 1030.83023 |
| [15] | Brower, R. C.; Lowe, D. A.; Tan, C. I., Nucl. Phys. B, 652, 127 (2003) · Zbl 1010.81065 |
| [16] | Grignani, G.; Orselli, M.; Semenoff, G. W.; Trancanelli, D., JHEP, 0306, 006 (2003) |
| [17] | Hyun, S.j.; Park, J. D.; Yi, S. H., JHEP, 0311, 006 (2003) |
| [18] | Hashimoto, A.; Pando Zayas, L., JHEP, 0403, 014 (2004) |
| [19] | Bigazzi, F.; Cotrone, A. L., JHEP, 0308, 052 (2003) |
| [20] | Evnin, O.; Nguyen, T., JHEP, 0809, 105 (2008) |
| [21] | S.P. Kim, Liouville-Neumann approach to the nonperturbative quantum field theory, in: Seoul 1997, Recent Developments in Nonperturbative Quantum Field Theory, pp. 345-352, arXiv:hep-th/9706052; S.P. Kim, Liouville-Neumann approach to the nonperturbative quantum field theory, in: Seoul 1997, Recent Developments in Nonperturbative Quantum Field Theory, pp. 345-352, arXiv:hep-th/9706052 · Zbl 0942.81609 |
| [22] | Kim, S. P.; Lee, C. H., Phys. Rev. D, 62, 125020 (2000) |
| [23] | Lewis, H. R.; Riesenfeld, W. B., J. Math. Phys., 10, 1458-1473 (1969) · Zbl 1317.81109 |
| [24] | Gimon, E. G.; Pando Zayas, L. A.; Sonnenschein, J., JHEP, 0209, 044 (2002) |
| [25] | Sfetsos, K., Nucl. Phys. B, 669, 103-127 (2003) · Zbl 1031.81053 |
| [26] | Blau, M.; Borunda, M.; OʼLoughlin, M., JHEP, 0510, 047 (2005) |
| [27] | Umezawa, H., Advanced Field Theory: Micro, Macro, and Thermal Physics (1993), AIP: AIP New York, USA |
| [28] | Leblanc, Y., Phys. Rev. D, 36, 1780 (1987) |
| [29] | Leblanc, Y., Phys. Rev. D, 37, 1547 (1988) |
| [30] | Leblanc, Y., Phys. Rev. D, 38, 3087 (1988) |
| [31] | Leblanc, Y., Phys. Rev. D, 39, 1139 (1989) |
| [32] | Leblanc, Y.; Knecht, M.; Wallet, J. C., Phys. Lett. B, 237, 357 (1990) |
| [33] | Leblanc, Y., Phys. Rev. Lett., 64, 831 (1990) · Zbl 1050.81653 |
| [34] | Fujisaki, H.; Nakagawa, K.; Shirai, I., Prog. Theor. Phys., 81, 570 (1989) |
| [35] | Fujisaki, H.; Nakagawa, K., Prog. Theor. Phys., 82, 236 (1989) |
| [36] | Fujisaki, H.; Nakagawa, K., Prog. Theor. Phys., 82, 1017 (1989) |
| [37] | Fujisaki, H.; Nakagawa, K., Europhys. Lett., 14, 737 (1991) |
| [38] | Fujisaki, H.; Nakagawa, K., Europhys. Lett., 20, 677 (1992) |
| [39] | Fujisaki, H., Europhys. Lett., 28, 623 (1994) |
| [40] | Fujisaki, H., Europhys. Lett., 39, 479 (1997) |
| [41] | Nedel, D. L.; Abdalla, M. C.B.; Gadelha, A. L., Phys. Lett. B, 598, 121 (2004) |
| [42] | Abdalla, M. C.B.; Gadelha, A. L.; Nedel, D. L., JHEP, 0510, 063 (2005) |
| [43] | Abdalla, M. C.B.; Gadelha, A. L.; Nedel, D. L., Phys. Lett. B, 613, 213 (2005) · Zbl 1247.81333 |
| [44] | Abdalla, M. C.B.; Gadelha, A. L.; Nedel, D. L., PoS WC2004, 020 (2004) |
| [45] | Abdalla, M. C.B.; Gadelha, A. L.; Nedel, D. L., PoS WC2004, 032 (2004) |
| [46] | Abdalla, M. C.B.; Gadelha, A. L.; Vancea, I. V., Phys. Lett. A, 273, 235 (2000) · Zbl 1059.81596 |
| [47] | Belich, H.; Graca, E. L.; Santos, M. A.; Vancea, I. V., JHEP, 0702, 037 (2007) |
| [48] | Vancea, I. V., Phys. Lett. B, 487, 175 (2000) · Zbl 1050.81668 |
| [49] | Abdalla, M. C.B.; Gadelha, A. L.; Vancea, I. V., Phys. Rev. D, 64, 086005 (2001) |
| [50] | Abdalla, M. C.B.; Gadelha, A. L.; Vancea, I. V., Phys. Rev. D, 66, 065005 (2002) |
| [51] | Vancea, I. V., Phys. Rev. D, 74, 086002 (2006) |
| [52] | Vancea, I. V., Int. J. Mod. Phys. A, 23, 4485 (2008) |
| [53] | Cantcheff, M. B., Eur. Phys. J. C, 55, 517 (2008) · Zbl 1189.81174 |
| [54] | Cantcheff, M. B., Phys. Rev. D, 80, 046001 (2009) |
| [55] | Abdalla, M. C.B.; Gadelha, A. L.; Vancea, I. V., Int. J. Mod. Phys. A, 18, 2109 (2003) · Zbl 1047.81059 |
| [56] | Abdalla, M. C.B.; Gadelha, A. L.; Vancea, I. V. |
| [57] | Abdalla, M. C.B.; Gadelha, A. L.; Vancea, I. V., Nucl. Phys. B (Proc. Suppl.), 127, 92 (2004) |
| [58] | Nardi, R.; Santos, M. A.; Vancea, I. V., J. Phys. A, 44, 235403 (2011) |
| [59] | Matsumoto, H., Physica A, 158, 291-305 (1989) |
| [60] | Henning, P. A., Phys. Rept., 253, 235-380 (1995) |
| [61] | Arimitsu, T.; Umezawa, H., Prog. Theor. Phys., 74, 429 (1985) · Zbl 0979.81516 |
| [62] | Arimitsu, T.; Umezawa, H., Prog. Theor. Phys., 77, 32 (1987) |
| [63] | Arimitsu, T.; Umezawa, H., Prog. Theor. Phys., 77, 53 (1987) |
| [64] | Umezawa, H.; Yamanaka, Y., J. Phys. A, 22, 2461 (1989) |
| [65] | Mizutani, Y.; Inagaki, T., Prog. Theor. Phys., 125, 933 (2011) · Zbl 1223.81152 |
| [66] | Mizutani, Y.; Inagaki, T.; Nakamura, Y.; Yamanaka, Y., Prog. Theor. Phys., 126, 681 (2011) · Zbl 1247.81508 |
| [67] | Mizutani, Y.; Inagaki, T. |
| [68] | Green, M. B.; Schwarz, J. H.; Witten, E., Cambridge Monographs on Mathematical Physics (1987), Cambridge Univ. Press: Cambridge Univ. Press Cambridge, UK, 469 p · Zbl 0619.53002 |
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