Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2017 (2017), Article ID 3706870, 14 pages
https://doi.org/10.1155/2017/3706870
Research Article

Nonequilibrium Dynamics of the -Model Modes on the de Sitter Space

Grupo de Física Teórica e Matemática Física, Departamento de Física, Universidade Federal Rural do Rio de Janeiro, Cx. Postal 23851, BR 465 Km 7, 23890-000 Seropédica, RJ, Brazil

Correspondence should be addressed to Ion V. Vancea; rb.jrrfu@aecnavnoi

Received 27 April 2017; Revised 9 July 2017; Accepted 2 August 2017; Published 29 August 2017

Academic Editor: Shi-Hai Dong

Copyright © 2017 Ion V. Vancea. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Linked References

  1. J. P. Gazeau and M. Lachieze Rey, “Quantum field theory in de sitter space : a survey of recent approaches,” PoS IC, vol. 2006, no. 007, 2006, https://arxiv.org/abs/hep-th/0610296. View at Google Scholar
  2. H. J. de Vega and N. Sanchez, “A new approach to string quantization in curved spacetimes,” Physics Letters. B. Particle Physics, Nuclear Physics and Cosmology, vol. 197, no. 3, pp. 320–326, 1987. View at Publisher · View at Google Scholar · View at MathSciNet
  3. H. J. de Vega, A. V. Mikhailov, and N. G. Sanchez, “Exact string solutions in 2+1-dimensional de Sitter spacetime,” Theoretical and Mathematical Physics, vol. 94, pp. 166–172, 1993. View at Google Scholar
  4. H. J. de Vega and N. Sanchez, “Exact integrability of strings in D-dimensional de Sitter spacetime,” Physical Review. D. Third Series, vol. 47, no. 8, pp. 3394–3404, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  5. H. J. de Vega, A. L. Larsen, and N. Sánchez, “Semiclassical quantization of circular strings in de Sitter and anti–de Sitter spacetimes,” Physical Review D, vol. 51, no. 12, pp. 6917–6928, 1995. View at Publisher · View at Google Scholar
  6. M. Ramon Medrano and N. Sanchez, “QFT, string temperature, and the string phase of de Sitter space-time,” Physical Review. D. Third Series, vol. 60, no. 12, Article ID 125014, 10 pages, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  7. A. Bouchareb, M. Ramon Medrano, and N. G. Sanchez, “Semiclassical (quantum field theory) and quantum (string) de Sitter regimes: new results,” International Journal of Modern Physics. D. Gravitation, Astrophysics, Cosmology, vol. 16, no. 6, pp. 1053–1074, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  8. M. Li, W. Song, and Y. Song, “Quantizing strings in de Sitter space,” Journal of High Energy Physics, vol. 2007, no. 04, p. 042, 2007. View at Publisher · View at Google Scholar
  9. K. S. Viswanathan and R. Parthasarathy, “String theory in curved space-time,” Physical Review. D. Third Series, vol. 55, no. 6, pp. 3800–3810, 1997. View at Publisher · View at Google Scholar · View at MathSciNet
  10. P. Bozhilov, “Exact string solutions in nontrivial backgrounds,” Physical Review. D. Third Series, vol. 65, no. 2, Article ID 026004, 12 pages, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  11. I. V. Vancea, “Entanglement Entropy in the σ-Model with the de Sitter Target Space,” 2016, https://arxiv.org/abs/1609.02223.
  12. S. Brahma, P. Dona, and A. Marciano, “Non Bunch Davies group coherent states, and their quantum signatures in CMB observables,” 2016, https://arxiv.org/abs/1612.00760.
  13. J. Maldacena and G. L. Pimentel, “Entanglement entropy in de Sitter space,” Journal of High Energy Physics, vol. 2013, 38 pages, 2013. View at Publisher · View at Google Scholar
  14. H. Umezawa and Y. Yamanaka, “Micro, macro and thermal concepts in quantum field theory,” Advances in Physics, vol. 37, no. 5, pp. 531–557, 1988. View at Publisher · View at Google Scholar · View at Scopus
  15. Y. Mizutani, T. Inagaki, Y. Nakamura, and Y. Yamanaka, “Canonical quantization for a relativistic neutral scalar field in non-equilibrium thermo field dynamics,” Progress of Theoretical Physics, vol. 126, no. 4, pp. 681–701, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. Y. Mizutani and T. Inagaki, “Nonequilibrium thermo field dynamics for relativistic complex scalar and Dirac fields,” International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology, vol. 27, no. 14, 45 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  17. F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and C. W. Clark, NIST Handbook of Mathematical Functions, Cambridge University Press, Cambridge, UK, 2010. View at MathSciNet
  18. R. Nardi and I. V. Vancea, “Nonequilibrium dynamics of strings in time-dependent plane wave backgrounds,” Nuclear Physics. B. Theoretical, Phenomenological, and Experimental High Energy Physics. Quantum Field Theory and Statistical Systems, vol. 859, no. 3, pp. 269–287, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. K. Madhu and K. Narayan, “String spectra near some null cosmological singularities,” Physical Review D. Particles, Fields, Gravitation, and Cosmology, vol. 79, no. 12, 126009, 15 pages, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  20. K. Narayan, “Null cosmological singularities and free strings: II,” Journal of High Energy Physics, vol. 2011, no. 01, p. 145, 2011. View at Google Scholar
  21. S. Kachru, R. Kallosh, A. Linde, and S. P. Trivedi, “de Sitter vacua in string theory,” Physical Review D, vol. 68, no. 4, Article ID 046005, 10 pages, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  22. Avinash, C. Jana, R. Loganayagam, and A. Rudra, “Renormalization in Open Quantum Field theory I: Scalar field theory,” 2017, https://arxiv.org/abs/1704.08335.