Abstract
An approximate expression for the Euclidean Green function of a massless scalar field in the spacetime of a multidimensional global monopole has been derived. Expressions for the vacuum expectation values 〈ϕ2〉ren and 〈T 00〉ren have been derived by the dimensional regularization method. Comparison with the results obtained by alternative regularization methods is made.
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References
CMS Collab., J. High Energy Phys. 07, 178 (2013).
The Formation and Evolution of Cosmic Strings, Ed. by G. W. Gibbons, S. W. Hawking, and T. Vachaspati (Cambridge Univ. Press, Cambridge, 1990).
A. Vilenkin and E. P. S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge Univ. Press, Cambridge, 1994).
M. Bariola and A. Vilenkin, Phys. Rev. Lett. 63, 341 (1989).
D. Harari and C. Lousto, Phys. Rev. D 42, 2626 (1990).
S. Deser, R. Jackiw, and G. ‘t Hooft, Ann. Phys. 152, 220 (1984).
J. R. Gott and M. Alpert, Gen. Rel. Grav. 16, 243 (1984)
S. Giddings, J. Abbott, and K. Kuchnar, Gen. Rel. Grav. 16, 751 (1984)
R. Jackiw, Nucl. Phys. B 252, 343 (1985).
P. C. Letelier, Class. Quant. Grav. 4, 75 (1987).
Yu. V. Grats and A. Garcia, Class. Quantum Grav. 13, 189 (1996).
Yu. V. Grats and A. A. Rossikhin, Teor. Math. Fiz. 123, 150 (2000).
E. R. Bezerra de Mello, V. B. Bezerra, and Yu. V. Grats, Class. Quantum Grav. 15, 1915 (1998).
E. R. Bezerra de Mello, V. B. Bezerra, and Yu. V. Grats, Mod. Phys. Lett. A 13, 1427 (1998).
D. V. Gal’tsov, Yu. V. Grats, and A. B. Lavrent’ev, Phys. At. Nucl. 58, 516 (1995).
E. R. Bezerra de Mello, arXiv:hep-th/0609041.
E. R. Bezerra de Mello, J. Math. Phys. 43, 1018 (2002).
F. D. Mazzitelli and C. O. Lousto, Phys. Rev. D 43, 468 (1991).
J. Schwinger, Phys. Rev. 82, 664 (1951).
I. M. Gelfand and G. E. Shilov, Generalized Functions. 1. Properties and Operations (Fizmatgiz, Moscow, 1959; Academic, New York, 1968).
J. C. Collins, Renormalization (Cambridge Univ. Press, Cambridge, 1984).
S. W. Hawking, Comm. Math. Phys. 55, 133 (1977).
V. A. Smirnov, Springer Tracts Mod. Phys. 250 (2012).
N. Birrell and P. Davis, Quantum Fields in Curved Space (Cambridge Univ. Press, Cambridge, 1984, Mir, Moscow, 1984).
J. Spinelly and E. R. Bezerra de Mello, J. High Energy Phys. 0809, 005 (2008)
J. Spinelly and E. R. Bezerra de Mello, Int. J. Mod. Phys. A 24, 1481 (2009)
E. R. Bezerrade Mello, Class. Quantum Grav. 27, 095017 (2010)
E. R. Bezerra de Mello et al., Phys. Rev. D 91, 064034 (2015).
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Original Russian Text © Yu.V. Grats, P.A. Spirin, 2016, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 150, No. 5, pp. 929–936.
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Grats, Y.V., Spirin, P.A. Vacuum polarization in the field of a multidimensional global monopole. J. Exp. Theor. Phys. 123, 807–813 (2016). https://doi.org/10.1134/S1063776116110091
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DOI: https://doi.org/10.1134/S1063776116110091