Electromagnetic instability and Schwinger effect in the Witten–Sakai–Sugimoto model with D0–D4 background

Cai, Wenhe; Li, Kangle; Li, Siwen

doi:10.1140/epjc/s10052-019-7404-1

Cited by 5 publications

(8 citation statements)

References 65 publications

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“…The presence of instantons increases the potential barrier and therefore suppresses the pair creation both in the D(-1)-D3 and D0-D4 approach. Our results agrees well with the evaluation obtained in the black D(-1)-D3 background at zero temperature limit [32] and the analysis for the flavor brane action in the D0-D4 background [33].…”

Section: Summary and Discussionsupporting

confidence: 91%

“…Since the instantons increase the potential barrier, it suppresses the pair creation. And this conclusion is in agreement with the analysis from the flavor brane approach for the Schwinger effect in the D0-D4 background in [33].…”

Section: The D0-d4 Backgroundsupporting

confidence: 90%

“…The analysis of the Schwinger effect in holography can also be extended by including flavor [33,[37][38][39], since it would also be significant to consider the vacuum instability and creation rate with the fundamental matters in the Schwinger effect, which can be introduced when the flavor brane is embedded into the background geometry. As a supplement to this project, in this section let us briefly take into account a single flavor brane and investigate the vacuum instability with an external electric field in the D(-1)-D3 and D0-D4 system respectively.…”

Section: The Electric Instability With a Single Flavormentioning

confidence: 99%

“…which can be interpreted as the electric current and charge in holography [33,37,39]. Plugging (5.4) into (5.2), we can obtain the effective action as,…”

Section: The D(-1)-d3 Casementioning

confidence: 99%

“…5 and 6, we give our summary and discussion of this work. Basically our work is an extension to [20,21], also a different approach to check the results obtained in the deconfined D(-1)-D3 background at zero temperature limit [32] and the flavor brane setup for holographic Schwinger effect in [33].…”

Section: Introductionmentioning

confidence: 99%

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Holographic Schwinger effect in the confining background with D-instanton

2021

Eur. Phys. J. C

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Using the gauge-gravity duality, we study the holographic Schwinger effect by performing the potential analysis on the confining D3- and D4-brane background with D-instantons then evaluate the pair production/decay rate by taking account into a fundamental string and a single flavor brane respectively. The two confining backgrounds with D-instantons are obtained from the black D(-1)–D3 and D0–D4 solution with a double Wick rotation. The total potential and pair production/decay rate in the Schwinger effect are calculated numerically by examining the NG action of a fundamental string and the DBI action of a single flavor brane all in the presence of an electric field. In both backgrounds our numerical calculation agrees with the critical electric field evaluated from the DBI action and shows the potential barrier is increased by the presence of the D-instantons, thus the production/decay rate is suppressed by the D-instantons. The interpretation is that particles in the dual field theory could acquire an effective mass through the Chern-Simons interaction or the theta term due to the presence of D-instantons so that the pair production/decay rate in Schwinger effect is suppressed since it behaves as $$e^{-m^{2}}$$ e - m 2 . This conclusion is in agreement with the previous results obtained in the deconfined D(-1)–D3 background at zero temperature limit and from the approach of the flavor brane in the D0–D4 background. In this sense, this work may be also remarkable to study the phase transition in Maxwell–Chern–Simons theory and observable effects by the theta angle in QCD.

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Section: Summary and Discussionsupporting

confidence: 91%

Section: The D0-d4 Backgroundsupporting

confidence: 90%

Section: The Electric Instability With a Single Flavormentioning

confidence: 99%

“…which can be interpreted as the electric current and charge in holography [33,37,39]. Plugging (5.4) into (5.2), we can obtain the effective action as,…”

Section: The D(-1)-d3 Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Holographic Schwinger effect in the confining background with D-instanton

2021

Eur. Phys. J. C

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Holographic Schwinger effect and electric instability with anisotropy

Luo

2022

J. High Energ. Phys.

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According to the gauge-gravity duality, we systematically study the Schwinger effect and electric instability with anisotropy in a top-down holographic approach. The anisotropic black brane and bubble (soliton) background in IIB supergravity are employed and the dual theories in these backgrounds are expected to be anisotropic theory at finite temperature and anisotropic theory with confinement respectively. Then performing the potential analysis, we find due to the anisotropy, the potential barrier behaves oppositely with parallel and perpendicular electric fields, and this behavior agrees with the previous study about the quark potential with anisotropy in this system. Afterwards, we evaluate the pair production rate by solving the equation of motion for a fundamental string numerically which reveals the consistent behavior with the potential analysis. Furthermore, the probe D7-brane as flavor is introduced into the bulk in order to investigate the electric instability. The vacuum decay rate can be obtained by evaluating the imaginary part of the D7-brane action which again agrees with our potential analysis. Solving the associated constraint of gauge field strength on the flavor brane, we finally obtain the V-A curve displaying the distinct behavior of the conductivity in parallel and perpendicular direction which is in agreement with some bottom-up and phenomenologically holographic approaches in anisotropic fluid. Accordingly, we believe this work may be remarkable to study the electric features in strongly coupled anisotropic system.

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Holographic Schwinger effect in anisotropic media

Zhou,

Chen,

Zhang

et al. 2024

Eur. Phys. J. C

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According to gauge/gravity correspondence, we study the holographic Schwinger effect within an anisotropic background. Firstly, the separate length of the particle–antiparticle pairs is computed within the context of an anisotropic background which is parameterized by dynamical exponent $$\nu $$ ν . It is found that the maximum separate length x increases with the increase of dynamical exponent $$\nu $$ ν . By analyzing the potential energy, we find that the potential barrier increases with the dynamical exponent $$\nu $$ ν at a small separate distance. This observation implies that the Schwinger effect within an anisotropic background is comparatively weaker when contrasted with its manifestation in an isotropic background. Finally, we also find that the Schwinger effect in the transverse direction is weakened compared to the parallel direction in the anisotropic background, which is consistent with the top-down model.

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Electromagnetic instability and Schwinger effect in the Witten–Sakai–Sugimoto model with D0–D4 background

Cited by 5 publications

References 65 publications

Holographic Schwinger effect in the confining background with D-instanton

Holographic Schwinger effect in the confining background with D-instanton

Holographic Schwinger effect and electric instability with anisotropy

Holographic Schwinger effect in anisotropic media

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