Vacuum interaction of conic singularities
Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 2, pp. 243-251 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the $(\operatorname{tr}\ln)$-formalism, we consider the problem of the vacuum interaction of conic singularities in a $D$-dimensional ($D\ge 3$) space–time. We show that the interaction energy regularized by dimensional regularization contains neither ultraviolet divergences nor divergences associated with the nonintegrable nature of the vacuum mean of the energy–momentum tensor operator. In the case of four space–time dimensions, the result coincides with those obtained previously in a local approach.
Mots-clés : Casimir effect
Keywords: conic singularity, dimensional regularization.
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Yu. V. Grats. Vacuum interaction of conic singularities. Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 2, pp. 243-251. http://geodesic.mathdoc.fr/item/TMF_2016_186_2_a4/

[1] M. Bordag, G. L. Klimchitskaya, U. Mohideen, V. M. Mostepanenko, Advaces in the Casimir Effect, International Series of Monographs on Physics, 145, Oxford Univ. Press, Oxford, 2009 | Zbl

[2] A. Vilenkin, E. P. S. Shellard, Cosmic Strings and Other Topological Defects, Cambridge Monographs on Mathematical Physics, Cambridge Univ. Press, Cambridge, 1994 | MR | Zbl

[3] E. J. Copeland, L. Pogosian, T. Vachaspati, Class. Quantum Grav., 28:20 (2011), 204009, arXiv: 1105.0207 | DOI | MR | Zbl

[4] D. V. Galtsov, Yu. V. Grats, A. A. Lavrentev, YaF, 58:3 (1995), 570–576

[5] T. M. Helliwell, D. A. Konkowski, Phys. Rev. D, 34:6 (1986), 1918–1920 ; V. P. Frolov, E. M. Serebriany, Phys. Rev. D, 35:12 (1987), 3779–3782 ; B. Linet, Phys. Rev. D, 35:2 (1987), 536–539 ; J. S. Dowker, Phys. Rev. D, 36:10, 3095–3101 ; 3742–3746 ; W. A. Hiscock, Phys. Lett. B, 188:3 (1987), 317–320 | DOI | MR | DOI | DOI | MR | DOI | DOI | DOI | MR

[6] D. V. Fursaev, Class. Quantum Grav., 11:6 (1994), 1431–1443, arXiv: hep-th/9309050 | DOI | MR

[7] M. Bordag, Ann. Phys. (Berlin), 502:2–3 (1990), 93–100 | DOI | MR

[8] J. M. Muñoz-Castañeda, M. Bordag, Phys. Rev. D, 89:6 (2014), 065034, 16 pp., arXiv: 1402.6592 | DOI

[9] S. Deser, R. Jackiw, G. 't Hooft, Ann. of Phys., 152:1 (1984), 220–235 ; J. R. Gott, Gen. Relat. Grav., 16:3 (1984), 243–247 ; S. Giddlings, J. Abbott, K. Kuchnar, Gen. Relat. Grav., 16 (1984), 751–775 ; R. Jackiw, Nucl. Phys. B, 252 (1985), 343–356 | DOI | MR | DOI | MR | DOI | MR | DOI

[10] T. Souradeep, V. Sahni, Phys. Rev. D, 46:4 (1992), 1616–1633, arXiv: ; M. E. X. Guimarães, B. Linet, Class. Quantum Grav., 10:8 (1993), 1665–1680 ; V. P. Frolov, A. A. Shoom, A. Zelnikov, Phys. Rev. D, 88:2 (2013), 024032, 9 pp. hep-ph/9208219 | DOI | DOI | MR | DOI

[11] Yu. V. Grats, A. Garcia, Class. Quantum Grav., 13:2 (1996), 189–197 ; Ю. В. Грац, А. А. Россихин, ТМФ, 123:1 (2000), 150–162 | DOI | MR | Zbl | DOI | DOI | MR | Zbl

[12] P. S. Letelier, Class. Quantum Grav., 4 (1987), L75–L77 | DOI | MR

[13] S. C. Davis, Phys. Lett. B, 499:1–2 (2001), 179–185, arXiv: hep-ph/0010255 | DOI

[14] Yu. V. Grats, A. A. Rossikhin, Modern Phys. Lett. A, 17:18 (2002), 1207–1214 | DOI | MR | Zbl

[15] A. G. Cohen, D. B. Kaplan, Phys. Lett. B, 470:1–4 (1999), 52–58, arXiv: ; R. Gregory, Phys. Rev. Lett., 84:12 (2000), 2564–2567, arXiv: hep-th/9910132hep-th/9911015 | DOI | MR | Zbl | DOI | MR | Zbl

[16] J. Spinelly, E. R. Bezerra de Mello, JHEP, 09 (2008), 005, 32 pp. ; J. Spinelly, E. R. Bezerra de Mello, Internat. J. Modern Phys. A, 24:8–9 (2009), 1481–1488, arXiv: ; E. R. Bezerra de Mello, Class. Quantum Grav., 27:9 (2010), 095017, 25 pp., arXiv: ; E. R. Bezerra de Mello, V. B. Bezerra, A. A. Saharian, H. H. Harutyunyan, Phys. Rev. D, 91:6 (2015), 064034, 19 pp., arXiv: 0808.37360907.41391411.1258 | DOI | MR | DOI | MR | Zbl | DOI | MR | Zbl | DOI

[17] M. Rid, B. Saimon, Metody sovremennoi matematicheskoi fiziki, v. 3, Teoriya rasseyaniya, Mir, M., 1982 | MR | MR | Zbl

[18] S. W. Hawking, Commun. Math. Phys., 55:2 (1977), 133–148 | DOI | MR | Zbl

[19] E. M. Gelfand, G. E. Shilov, Obobschennye funktsii i deistviya nad nimi, Fizmatgiz, M., 1959 | MR