Pair production of scalar dyons in Kerr–Newman black holes

Abstract

We study the spontaneous pair production of scalar dyons in the near extremal dyonic Kerr-Newman (KN) black hole, which contains a warped AdS3 structure in the near horizon region. The leading term contribution of the pair production rate and the absorption cross section ratio are also calculated using the Hamilton-Jacobi approach and the thermal interpretation is given. In addition, the holographic dual conformal field theories (CFTs) descriptions of the pair production rate and absorption cross section ratios are analyzed both in the J-, Q-and P -pictures respectively based on the threefold dyonic KN/CFTs dualities. PACS numbers: 04.62.+v, 04.70.Dy, 12.20.-m I. INTRODUCTIONThe spontaneous pair production is associated with the separation of the virtual particle pairs, which can be caused by an external electromagnetic force or by the tunnelling through a causal boundary. These effects are related with two independent quantum processes: the Schwinger mechanism [1] and the Hawking radiation [2]. A charged black hole can provide a suitable arena to address both processes. Moreover, it is shown that the leading contribution of the Schwinger effect comes from the dominating electromagnetic field in the near horizon region of the charged black hole and the pair production rate is shown to match with that obtained in the whole black hole background [3][4][5][6]. Besides, for the near extremal charged black holes, the symmetry of the near horizon geometry is enhanced, e.g. AdS 2 × S 2 for the Reissner-Nordström (RN), and a warped AdS 3 = AdS 2 × S 1 for the Kerr-Newman (KN) black hole, which leads to a holographic dual conformal field theory (CFT) description of the black holes [7][8][9][10][11][12][13][14][15].Recently, the pair production of scalar field [3] and spinor field [4] in the near horizon region of RN black holes, as well as pair production of scalar field in near extremal KN black holes [6] have been systematically analyzed. An interesting finding was that the violation of the Breitenlohner-Freedman (BF) bound in the AdS 2 or the warped AdS 3 geometry is equivalent to the existence condition for the pair production, and also guarantees the cosmic censorship conjecture during the pair production process. 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]. This effect is analogous to the transverse momentum of particle spectrum produced by an electric field in quantum electrodyna...

Scalar Dyon Production In Near Extremal Kerr-Newman Black Holes

“…The geometry of the near horizon of a near extreme dyonic KN black hole has the structure of a warped AdS 3 as [6] …”

“…(16). Then the Bogoliubov coefficients and the absorption cross section ratio in the particle viewpoint can be obtained as [6] …”

“…The mean number of produced pairs above and the absorption cross section ratio in the previous section have been obtained using the exact solution in the near horizon geometry of an extremal or near extremal KN black hole. In addition, by applying the phase-integral formula, we can derive the instanton actions from the Hamilton-Jacobi action for the field equation, which lead to the mean number, for details see [6]. This method allows one to understand the physical origin of each term as a consequence of simple poles in the complex plane of space [18] and further connects the interpretation to other physical systems involving the Schwinger effect in curved spacetimes [19].…”

“…where From the field/operator duality in the AdS/CFT correspondence, the complex conformal dimensions (h L , h R ) of the dual operator in the two-dimensional CFT can be determined from the asymptotic expansion of the bulk dyonic charged scalar field (17) at the AdS boundary [6] …”

“…In particular, the results of production can be analytically obtained for the near extremal black holes [3][4][5]. Thus we investigate the pair production of scalar dyons in the spacetime of the near-horizon region of the near extremal dyonic Kerr-Newman (KN) black holes [6] without considering the back-reactions. The spacetime has the geometric structure of a warped AdS 3 plus an electromagnetic field.…”