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Number of results

Journal

2008 | 6 | 2 | 372-384

Article title

Stochastic quantization method for spinning particles in a gravitational plane wave field

Content

Title variants

Languages of publication

EN

Abstracts

EN
The exact and analytic Green functions for spinning relativistic particles in interaction with a gravitational plane wave field are obtained within the Stochastic Quantization Method of Parisi and Wu. We have separated the classical calculations from those related to the quantum fluctuations. The problem has been solved by using a perturbative treatment via the Langevin equation relying on phase and configuration spaces formulation.

Publisher

Journal

Year

Volume

6

Issue

2

Pages

372-384

Physical description

Dates

published
1 - 6 - 2008
online
26 - 3 - 2008

Contributors

  • Laboratoire de Physique Théorique, Université de Jijel, BP 98, Ouled Aissa, Jijel, 18000, Algérie
  • Département de physique, Faculté des Sciences Exactes, Université Mentouri, Route Ain El-Bey Constantine, 25000, Algérie

References

  • [1] G. Parisi, Y. S. Wu, Sci. Sin. 24, 483 (1981)
  • [2] M. Namiki, Stochastic Quantization (Springer, Heidelberg, 1992)
  • [3] H. Hüffel, P.H. Nakazato, Mod. Phys. Lett. A 9, 2953 (1994) http://dx.doi.org/10.1142/S0217732394002793[Crossref]
  • [4] K. Yuosa, H. Nakazato, arXiv:hep-th/9610209v1
  • [5] A.M. Scarfone, arXiv:cond-mat/0703115v1
  • [6] L.M. Morato, L. Viola, J. Math. Phys. 36, 4691 (1995) http://dx.doi.org/10.1063/1.531333[Crossref]
  • [7] G. Menezes, N. F. Svaiter, arXiv:hep-th/0706.0920v1
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  • [9] A. Barducci, R. Giachetti, J. Phys. A 36, 8129 (2003) http://dx.doi.org/10.1088/0305-4470/36/29/317[Crossref]
  • [10] A. Barducci, R. Giachetti, Lett. Nuovo Cimento 15, 309 (1976) http://dx.doi.org/10.1007/BF02725168[Crossref]
  • [11] A. Barducci, R. Giachetti, J. Phys. A 38, 1615 (2005) http://dx.doi.org/10.1088/0305-4470/38/7/015[Crossref]
  • [12] D.M. Volkov, Z. Phys. 94, 250 (1935) http://dx.doi.org/10.1007/BF01331022[Crossref]
  • [13] J. Schwinger, Phys. Rev. 82, 664 (1951) http://dx.doi.org/10.1103/PhysRev.82.664[Crossref]
  • [14] A.N. Vaidya, C. Farina, M.S. Guimaraes, M.J. Neves, arXiv:hep-th/0701105v1
  • [15] N. Boudiaf, T. Boudjedaa, L. Chetouani, Eur. Phys. J. C 20, 585 (2001) http://dx.doi.org/10.1007/s100520100657[Crossref]
  • [16] Z. Lehtihet, L. Chetouani, Eur. Phys. J. C 42, 243 (2005) http://dx.doi.org/10.1140/epjc/s2005-02276-y[Crossref]
  • [17] N. Chine, L. Chetouani, Czech. J. Phys. 5, 565 (2006) http://dx.doi.org/10.1007/s10582-006-0121-7[Crossref]
  • [18] S. Haouat, L. Chetouani, Eur. Phys. J. C (in press)
  • [19] L.S. Schulmann, Techniques and Applications of Path Integration (John Willey, New York, 1981)
  • [20] R. Feynman, A. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965)

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-008-0045-x
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