Schwinger pair production indS2andAdS2

Abstract

We study Schwinger pair production in scalar QED from a uniform electric field in dS2 with scalar curvature R dS = 2H2 and in AdS2 with R AdS = −2K 2 . With suitable boundary conditions, we find that the pair-production rate is the same analytic function of the scalar curvature in both cases.

Schwinger mechanism revisited

“…based on the AdS/CFT correspondence) setups were considered in order to investigate particle production by external fields in the strong coupling regime [167][168][169][170][171][172][173][174][175][176]. Let us also finally mention another recent review on the Schwinger mechanism more focused on the backreaction and applications in astrophysics [177], as well as some works on the closely related question of pair creation in a curved space-time [178][179][180][181][182][183].…”

“…In the figure 10, the time evolution of the electrical field E z (t) and the induced current density J z (t) are shown. As particles are produced and accelerated by the electrical field, a positive charge current is induced, causing the reduction of the electrical field strength through the Maxwell equation (178). At some point ( √ eE 0 t 45), the field strength vanishes.…”

Schwinger effect, Hawking radiation and gauge–gravity relation

“…3 Thus, a uniform electric field in the dS space exhibits both the Schwinger effect and the Hawking radiation. [4][5][6][7][8][9][10][11] The Schwinger effect in an anti-de Sitter (AdS) space also shows the intertwinement of quantum electrodynamics (QED) and gravity. 5,10,12 The second model is the emission of particles from a charged black hole.…”

“…[4][5][6][7][8][9][10][11] The Schwinger effect in an anti-de Sitter (AdS) space also shows the intertwinement of quantum electrodynamics (QED) and gravity. 5,10,12 The second model is the emission of particles from a charged black hole. A charged Reissner-Nordström (RN) black hole emits the Hawking radiation of all species of particles due to the event horizon and also the Schwinger emission of charged particles due to the electric field on the horizon.…”

Schwinger Effect, Hawking Radiation and Unruh Effect

“…Thus, the vector potential is given by A 1 = −E(e Ht − 1)/H, which has the Minkowski limit H = 0. First, in dS 2 the Schwinger formula (mean number) for charged spinless scalars is given by the dimensionless instanton action 14,15 …”