Schwinger effect, Hawking radiation and gauge–gravity relation

Abstract

We present a unified picture for the Schwinger effect and the Hawking radiation and address the gauge-gravity relation and the dS-AdS duality issue at the one-loop level. We propose a thermal interpretation for the Schwinger effect in an (A)dS space and in an Reissner-Nordström black hole. The emission of charged particles from the nearextremal charged black hole is proportional to the Schwinger effect in an AdS and to another Schwinger effect in a Rindler space accelerated by the surface gravity.

Pair production of scalar dyons in Kerr–Newman black holes

“…This condition, viewed in the AdS/CFT correspondence, results in the "complex" conformal dimensions of operators in the dual CFT, which indicates the dual (super)gravity solution is unstable [16]. More interestingly, the pair production from the near extremal RN or KN black holes exhibit a thermal interpretation [6,17,18], in which the production rate depends on an effective temperature coming from a combination of the Unruh temperature caused by the acceleration driven by the electromagnetic force and the AdS curvature [19]. Moreover, the particle mass is modified by the AdS curvature and the quantum number of the compact space, which reduces the Schwinger effect in AdS 2 [6,17,19].…”

“…spacetime. Indeed, the pair production rates in both the near extremal RN and KN black holes can be understood as a "combination" of two contributions of Schwinger mechanism: one is the effect from the AdS 2 space [19] determined by the effective temperature, another one is from the Rindler space associated with the Hawking temperature of black holes [6,17,18]. The holographic dual of the non-extremal KN black hole has been shown to have the twofold dual CFT descriptions, called the J-picture and the Q-picture [13,14].…”

Schwinger effect, Hawking radiation and Unruh effect

“…The Schwinger formula from the extremal black hole is similarly given a thermal interpretation. 11,12 Interestingly, the Schwinger effect from a near-extremal black hole is factorized into the Schwinger formula in AdS 2 and that in Rinder 2 with the acceleration of the surface gravity due to small non-extremality of black hole. We find the Schwinger formula in dS in any dimension.…”

“…By solving the field equation and using the Bogoliubov transformation, the pairproduction rate is found 7,8,12,17 …”

Scalar Dyon Production In Near Extremal Kerr-Newman Black Holes

“…Further, by imposing the particle viewpoint of boundary condition on the solutions, the physical quantities such as the vacuum persistence amplitude, the mean number of produced pairs and the absorption cross section ratio are obtained. The corresponding thermal interpretation [7][8][9] has been discussed. In addition, the physical quantities calculated from the gravity side are shown to match well with those results of the scalar dyon operator in the dual boundary conformal field theories (CFTs) side, based on the KN/CFTs correspondence [10,11].…”