JMP  Vol.6 No.12 , September 2015
On the Massless Vector Fields in a Rindler Space
ABSTRACT
We study the quantum theory of the mass-less vector fields on the Rindler space. We evaluate the Bogoliubov coefficients by means of a new technique based upon the use of light-front coordinates and Mellin transform. We briefly comment about the ensuing Unruh effect and its consequences.

Cite this paper
Soldati, R. , Specchia, C. (2015) On the Massless Vector Fields in a Rindler Space. Journal of Modern Physics, 6, 1743-1755. doi: 10.4236/jmp.2015.612176.
References
[1]   Birrel, N.D. and Davies, P.C.W. (1982) Quantum Fields in Curved Space. Cambridge University Press, Cambridge (UK).
http://dx.doi.org/10.1017/CBO9780511622632

[2]   Hawton, M. (2013) Physical Review A, 87, Article ID: 042116. arXiv:1304.5138v1 [quant-ph]

[3]   Specchia, C. (2013) Vector Fields in a Rindler Space. AMS Tesi di Laurea, Bologna University, Bologna.

[4]   Unruh, W.G. (1976) Physical Review D, 14, 870-892.
http://dx.doi.org/10.1103/PhysRevD.14.870

[5]   Fulling, S.A. (1973) Physical Review D, 7, 2850.
http://dx.doi.org/10.1103/PhysRevD.7.2850

[6]   Fedotov, A.M., Mur, V.D., Narozhny, N.B., Belinskiand, V.A. and Karnakov, B.M. (1999) Physics Letters A, 254, 126-132.
http://dx.doi.org/10.1016/S0375-9601(99)00092-4

[7]   Longhi, P. and Soldati, R. (2011) Physical Review D, 83, Article ID: 107701. arXiv:1101.5976 [hep-th]
http://dx.doi.org/10.1103/PhysRevD.83.107701

[8]   Castorina, P. and Finocchiaro, M. (2012) Jour. Mod. Phys. 3, 1703. arXiv:1207.3677 [hep-th]

[9]   Cotaescu, I.I. (2015) Europhysics Letters, 109, 4, Article ID: 40002. arXiv:1407.2502 [gr-qc]
Cotaescu, I.I. (2013) How to Kill the Unruh Effect. e-Print, arXiv:1301.6650v4 [gr-qc]

[10]   Linet, B. (1998) International Journal of Modern Physics D, 7, 61-71.
http://dx.doi.org/10.1142/S0218271898000061

[11]   Lenz, F., Ohta, K. and Yazaki, K. (2008) Physical Review D, 78, Article ID: 065026.
http://dx.doi.org/10.1103/PhysRevD.78.065026

[12]   Crispino, L.C.B., Higuchi, A. and Matsas, G.E.A. (2008) Reviews of Modern Physics, 80, 787-838.
http://dx.doi.org/10.1103/RevModPhys.80.787

[13]   Oriti, D. (2000) Il Nuovo Cimento, B115, 1005-1024.

[14]   Longhi, P. and Soldati, R. (2013) International Journal of Modern Physics A, 28, Article ID: 1350109.
http://dx.doi.org/10.1142/S0217751X13501091

[15]   Bleuler, K. (1950) Helvetica Physica Acta, 23, 567-586.
Gupta, S.N. (1950) Proceedings of the Physical Society A, 63, 681-691.
http://dx.doi.org/10.1088/0370-1298/63/7/301
Lautrup, B. (1967) Kongelige Danske Videnskabernes Selskab Mat.-fys. Medd, 35, 1.
Nakanishi, N. (1966) Progress of Theoretical Physics, 35, 1111-1116.
http://dx.doi.org/10.1143/PTP.35.1111
Nakanishi, N. (1973) Progress of Theoretical Physics, 49, 640-651.
http://dx.doi.org/10.1143/PTP.49.640
Nakanishi, N. (1974) Progress of Theoretical Physics, 52, 1929-1945.
http://dx.doi.org/10.1143/PTP.52.1929
Nakanishi, N. (1972) Progress of Theoretical Physics Supplements, 51, 1-95.
http://dx.doi.org/10.1143/PTPS.51.1


[16]   Aref’eva, I.Y. and Volovich, I.V. (2013) Note on the Unruh Effect. e-Print arXiv:1302.6699 [hep-th].

[17]   Rindler, W. (1964) American Journal of Physics, 34, 1174-1178.
http://dx.doi.org/10.1119/1.1972547
Rindler, W. (1969) Essential Relativity. Van Nostrand, New York.


[18]   Sokolovsky, M. (2013) Rindler Space and Unruh Effect. e-Print arXiv:1304.2833v2 [gr-qc].

[19]   Gradshteyn, I.S. and Ryzhik, I.M. (1996) Table of Integrals, Series, and Products. Fifth Edition, Jeffrey, A., Ed., Academic Press, San Diego.

 
 
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