MG14 - Talk detail

Back to previous page

 Participant

Institution

Session

Accepted

Order

Time

Talk

Title

Abstract

In the Minkowski spacetime, Heisenberg-Euler and Schwinger obtained the one-loop QED action in a constant electromagnetic field [1], which leads to Schwinger pair production of charged particles in an electric field. The de Sitter (dS) space is known to emit Gibbons-Hawking radiation [2]. However, the one-loop effective action in dS from the Feynman propagator [3] does not have the vacuum persistence, twice the imaginary part of the effective action, which is responsible for the cosmic radiation. Using the in-out formalism by Schwinger and DeWitt, the complex one-loop effective action in dS space has been found in the proper-time integral, which explains both the nonperturbative vacuum polarization and the cosmic radiation [4]. On the other hand, the scalar QED action in a unform electric field in (A)dS has recently been found [5] by applying the gamma-function regularization within the in-out formalism [6, 7], which gives one-loop effective action in an electromagnetic field and/or a curved spacetime [4, 5]. Further, the complex oneloop action consistently explains the the pair production. The gauge-gravity relation is known between the scalar QED effective action in a maximally symmetric 4n-dimensional electromagnetic field and the spinor effective action in a 2n-dimensional AdS space [8]. Finally, we investigate the gauge-gravity relation between the Maxwell scalar F and the scalar curvature R of (A)dS from the scalar and sinor QED action in (A)dS. References [1] W. Heisenberg and H. Euler, Z. Phys. 98 (1936)714; J. Schwinger, Phys. Rev. 82 (1951) 664. [2] G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15 (1977) 2738. [3] P. Candelas and D. J. Raine, Phys. Rev. D 12 (1975) 965; J. S. Dowker and R. Critchley, Phys. Rev. D 13 (1976) 224. [4] S. P. Kim, Vacuum Structure of de Sitter Space [arXiv:1008.0577]. [5] R-G. Cai and S. P. Kim, JHEP 09 (2014) 72. [6] S. P. Kim, H. K.Lee, and Y. Yoon, Phys. Rev. D 78 (2008) 105013; Phys. Rev. D 82 (2010) 025015. [7] S. P. Kim, Int. J. Mod. Phys. Conf. Ser. 12 310 (2012). [8] G. Basar and G. V. Dunne, J. Phys. A: Math. Theor. 43 (2010) 072002.

Pdf file

Back to previous page