Schwinger pair creation of Kaluza-Klein particles: Pair creation without tunneling

Friedmann, Tamar; Verlinde, Herman

doi:10.1103/physrevd.71.064018

Cited by 12 publications

(12 citation statements)

References 35 publications

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“…In section 2 we first follow the method in [1] to derive the formula of scrambling time in the more general black branes background and apply it to our model spacetime. In section 3 we first apply the transformation of mixing azimuthal and internal coordinate [21][22][23] or mixing time and internal coordinate [24][25][26][27][28][29][30] …”

Section: Jhep02(2017)032mentioning

confidence: 99%

Butterfly effect and holographic mutual information under external field and spatial noncommutativity

Huang

2017

J. High Energ. Phys.

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Abstract:We apply the transformation of mixing azimuthal and internal coordinate or mixing time and internal coordinate to a stack of N black M-branes to find the Melvin spacetime of a stack of N black D-branes with magnetic or electric flux in string theory, after the Kaluza-Klein reduction. We slightly extend previous formulas to investigate the external magnetic and electric effects on the butterfly effect and holographic mutual information. It shows that the Melvin fields do not modify the scrambling time and will enhance the mutual information. In addition, we also T-dualize and twist a stack of N black D-branes to find a Melvin Universe supported by the flux of the NSNS b-field, which describes a non-comutative spacetime. It also shows that the spatial noncommutativity does not modify the scrambling time and will enhance the mutual information. We also study the corrected mutual information in the backreaction geometry due to the shock wave in our three model spacetimes.

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Section: Jhep02(2017)032mentioning

confidence: 99%

Butterfly effect and holographic mutual information under external field and spatial noncommutativity

Huang

2017

J. High Energ. Phys.

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“…We now apply the transformation of mixing time and internal coordinate [20,21] to the 11D M-theory with a stack N M2-branes [22] and then use the T duality [23,24] to find the spacetime of a stack of N D3-branes with electric flux.…”

Section: Rotating String In Electric Fieldmentioning

confidence: 99%

“…In the case of (2.1), D = 11 and p = 2. Now we transform the time t by mixing it with the compactified coordinate x 11 in the following substituting [20,21] t → t − Ex 11 . (2.4)…”

Section: Rotating String In Electric Fieldmentioning

confidence: 99%

Semiclassical strings in electric and magnetic field deformedAdS5×S5spacetimes

Huang

2006

Phys. Rev. D

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We first apply the transformation of mixing azimuthal and internal coordinate or mixing time and internal coordinate to the 11D M-theory with a stack N M2-branes to find the spacetime of a stack of N D2-branes with magnetic or electric flux in 10 D IIA string theory, after the Kaluza-Klein reduction. We then perform the T duality to the spacetime to find the background of a stack of N D3-branes with magnetic or electric flux. In the near-horizon limit the background becomes the magnetic or electric field deformed AdS 5 × S 5 . We adopt an ansatz to find the classical string solution which is rotating in the deformed S 5 with three angular momenta in the three rotation planes. The relations between the classical string energy and its angular momenta are found and results show that the external magnetic and electric fluxes will increase the string energy. Therefore, from the AdS/CFT point of view, the corrections of the anomalous dimensions of operators in the dual SYM theory will be positive. We also investigate the small fluctuations in these solutions and discuss the effects of magnetic and electric fields on the stability of these classical rotating string solutions. Finally, we find the possible solutions of string pulsating on the deformed spacetimes and show that the corrections to the anomalous dimensions of operators in the dual SYM theory are non-negative.

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“…As pointed out in [3], and investigated in [7,8,9,10] for the model with b = 0, electric field configurations can be obtained from (1.2) by a Wick rotation in the coordinates x 0 → ix D−3 and ϕ → −it, so that t now plays the role of time. By setting the parameter b to zero and changing b → iE one finds the electric version of the Kaluza-Klein Melvin model, which we shall call the E-model E : ds 2 = dr 2 − r 2 (dt − Edy) 2 + dy 2 + dx i dx i , i = 1, ..., D − 3 ,…”

Section: Introductionmentioning

confidence: 93%

“…The geometry (1.4) was investigated in the context of General Relativity in [10], where no Schwinger pair production for KK particles was found (though it was found some particle creation of different origin). The interpretation of this fact was that the back reaction of geometry prevents the electrostatic potential from overcoming the rest mass of the KK particles, preventing the tunneling that would otherwise give rise to the Schwinger effect.…”

Section: Introductionmentioning

confidence: 99%

On Schwinger pair creation in gravity and in closed superstring theory

Russo

2009

J. High Energy Phys.

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We investigate the Schwinger pair creation process in the context of gravitational models with the back reaction of the electric field included in the geometry. The background is also an exact solution of type II superstring theory, where the electric field arises by Kaluza-Klein reduction. We obtain a closed formula for the pair creation rate that incorporates the gravitational back reaction. At weak fields it has the same structure as the general Schwinger formula, albeit pairs are produced by a combination of Schwinger and Unruh effect, the latter due to the presence of a Rindler horizon. In four spacetime dimensions, the rate becomes constant at strong electric fields. For states with mass of Kaluza-Klein origin, the rate has a power-like dependence in the electric field, rather than the familiar (non-perturbative) exponential dependence. We also reproduce the same formula from the string partition function for winding string states. Finally, we comment on the generalization to excited string states.

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Schwinger pair creation of Kaluza-Klein particles: Pair creation without tunneling

Cited by 12 publications

References 35 publications

Butterfly effect and holographic mutual information under external field and spatial noncommutativity

Butterfly effect and holographic mutual information under external field and spatial noncommutativity

Semiclassical strings in electric and magnetic field deformedAdS5×S5spacetimes

On Schwinger pair creation in gravity and in closed superstring theory

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