Semiclassical analysis of pair creation in de Sitter space
Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 1, pp. 72-85 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study a massive scalar field theory in de Sitter space. Using a worldline instanton approach, we calculate the pair creation probability in the weak-field limit. In addition to the exponential factor, we derive the pre-exponential factor. In this method, the pair creation probability for an odd-dimensional space vanishes. We find the leading contribution to the two-point correlator in the $\phi^3$ theory.
Keywords: quantum field in curved space, de Sitter space.
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S. Guts. Semiclassical analysis of pair creation in de Sitter space. Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 1, pp. 72-85. http://geodesic.mathdoc.fr/item/TMF_2014_180_1_a5/

[1] S. R. Coleman, Phys. Rev. D, 15:4 (1977), 2929–2936 | DOI

[2] C. G. Callan, Jr., S. R. Coleman, Phys. Rev. D, 16:6 (1977), 1762–1768 | DOI

[3] M. B. Voloshin, I. Yu. Kobzarev, L. B. Okun, YaF, 20:6 (1974), 1229–1234

[4] M. B. Voloshin, K. G. Selivanov, Pisma v ZhETF, 42:8 (1985), 342–345

[5] J. Schwinger, Phys. Rev. (2), 82:5 (1951), 664–679 | DOI | MR | Zbl

[6] I. K. Affleck, O. Alvarez, N. S. Manton, Nucl. Phys. B, 197:3 (1982), 509–519 | DOI | MR

[7] G. V. Dunne, Q.-H. Wang, H. Gies, C. Schubert, Phys. Rev. D (3), 73:6 (2006), 065028, 13 pp., arXiv: hep-th/0602176 | DOI | MR

[8] K. Bulycheva, S. Guts, Phys. Rev. D, 88:5 (2013), 053001, 6 pp., arXiv: 1107.1428 | DOI

[9] A. Monin, M. B. Voloshin, Phys. Rev. D, 81:2 (2010), 025001, 6 pp., arXiv: 0910.4762 | DOI | MR

[10] A. Gorsky, M. B. Voloshin, Phys. Rev. D, 73:2 (2006), 025015, 9 pp., arXiv: hep-th/0511095 | DOI

[11] A. D. Mironov, A. Yu. Morozov, T. N. Tomaras, Pisma v ZhETF, 94:11 (2011), 872–876, arXiv: 1108.2821 | DOI

[12] D. Krotov, A. M. Polyakov, Nucl. Phys. B, 849:2 (2011), 410–432, arXiv: 1012.2107 | DOI | MR | Zbl

[13] E. T. Akhmedov, F. K. Popov, V. M. Slepukhin, Phys. Rev. D, 88:2 (2013), 024021, 10 pp., arXiv: 1303.1068 | DOI

[14] C. Schubert, Phys. Rep., 355:2–3 (2001), 73–234, arXiv: hep-th/0101036 | DOI | MR | Zbl

[15] R. Bousso, A. Maloney, A. Strominger, Phys. Rev. D (3), 65:10 (2002), 104039, 24 pp., arXiv: hep-th/0112218 | DOI | MR

[16] F. Bastianelli, A. Zirotti, Nucl. Phys. B, 642:1–2 (2002), 372–388, arXiv: hep-th/0205182 | DOI | MR | Zbl

[17] C. Grosche, F. Steiner, Ann. Phys., 182:1 (1988), 120–156 | DOI | MR | Zbl

[18] A. I. Vaintshtein, V. I. Zakharov, V. A. Novikov, M. A. Shifman, UFN, 136:4 (1982), 553–591 | DOI | DOI | MR

[19] A. Monin, M. B. Voloshin, Semiclassical calculation of an induced decay of false vacuum, arXiv: 1004.2015

[20] P. Satunin, Phys. Rev. D, 87:10 (2013), 105015, 7 pp., arXiv: 1301.5707 | DOI