Abstract
We present a short and novel derivation of the Schwinger mechanism for particle pair production in 1 + 1 dimensional de Sitter and Anti de Sitter spacetimes. We work directly in the flat embedding space and derive the pair production rates in these spacetimes via instanton methods. The derivation is manifestly coordinate independent, and also lends support to the possible deep connection between two conceptually disparate quantum phenomena — Schwinger effect and the Davies-Unruh effect.
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References
J. Schwinger, On Gauge Invariance and Vacuum Polarization, Phys. Rev. D 82 (1951) 664.
A.R. Brown, Schwinger pair production at nonzero temperatures or in compact directions, arXiv:1512.05716 [INSPIRE].
R.-G. Cai and S.P. Kim, One-Loop Effective Action and Schwinger Effect in (Anti-) de Sitter Space, JHEP 09 (2014) 072 [arXiv:1407.4569] [INSPIRE].
M.B. Fröb et al., Schwinger effect in de Sitter space, JCAP 04 (2014) 009 [arXiv:1401.4137] [INSPIRE].
S.P. Kim, H.K. Lee and Y. Yoon, Thermal Interpretation of Schwinger Effect in Near-Extremal RN Black Hole, arXiv:1503.00218 [INSPIRE].
B. Pioline and J. Troost, Schwinger pair production in AdS2, JHEP 03 (2005) 043 [hep-th/0501169] [INSPIRE].
P.C.W. Davies, Scalar particle production in Schwarzschild and Rindler metrics, J. Phys. A 8 (1975) 609 [INSPIRE].
J. Garriga, Nucleation rates in flat and curved space, Phys. Rev. D 49 (1994) 6327 [hep-ph/9308280] [INSPIRE].
J.D. Brown and C. Teitelboim, Neutralization of the Cosmological Constant by Membrane Creation, Nucl. Phys. B 297 (1988) 787 [INSPIRE].
S. Deser and O. Levin, Accelerated detectors and temperature in (anti)-de Sitter spaces, Class. Quant. Grav. 14 (1997) L163 [gr-qc/9706018] [INSPIRE].
D. Kothawala, Duality of force laws and Conformal transformations, Am. J. Phys. 79 (2011) 6 [arXiv:1010.2238] [INSPIRE].
M. Parikh and P. Samantray, Rindler-AdS/CFT, arXiv:1211.7370 [INSPIRE].
S. Singh and P. Samantray, Schwinger Mechanism in Schwarzschild Spacetime, in preparation.
N.P. Myhrvold, Thermal Radiation From Accelerated Electrons, Annals Phys. 160 (1985) 102 [INSPIRE].
R. Parentani and S. Massar, The Schwinger mechanism, the Unruh effect and the production of accelerated black holes, Phys. Rev. D 55 (1997) 3603 [hep-th/9603057] [INSPIRE].
S.P. Gavrilov and D.M. Gitman, Vacuum instability in external fields, Phys. Rev. D 53 (1996) 7162 [hep-th/9603152] [INSPIRE].
W. Fischler, P.H. Nguyen, J.F. Pedraza and W. Tangarife, Holographic Schwinger effect in de Sitter space, Phys. Rev. D 91 (2015) 086015 [arXiv:1411.1787] [INSPIRE].
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ArXiv ePrint: 1601.01406
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Samantray, P. The Schwinger mechanism in (Anti) de Sitter spacetimes. J. High Energ. Phys. 2016, 60 (2016). https://doi.org/10.1007/JHEP04(2016)060
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DOI: https://doi.org/10.1007/JHEP04(2016)060