Abstract
The Schwinger effect in the presence of instantons is considered in this paper. Using AdS/CFT correspondence in the near horizon limit of the D3+D($-1$)-brane background, we calculate the total potential of a quark-antiquark pair in an external electric field. It is shown that instantons tend to suppress the pair creation effect and increase the critical electric field above which the pairs are produced freely without any suppression. Interestingly, no other critical electric field, common for all confining field theories, is observed here at finite temperature. However, as expected we find such a critical electric field at zero temperature. The pair production rate evaluated by the calculation of the expectation value of the circular Wilson loop also confirms this result.
Highlights
The electron and positron pair production in the presence of an external electric field in the vacuum of the quantum electrodynamics (QED) is a nonperturbative phenomenon known as the Schwinger effect [1]
By quasiconfining we mean that it is deconfined in the viewpoint of gluons but its quark-antiquark potential behaves Coulomb-like for short separations and linearly for medium separations and becomes zero for large enough separations depending on the temperature and the gluon condensation
We have calculated the total potential for a pair of quark-antiquark in the presence of an electric field and find the critical electric field in agreement with the DBI result, as expected
Summary
The electron and positron pair production in the presence of an external electric field in the vacuum of the quantum electrodynamics (QED) is a nonperturbative phenomenon known as the Schwinger effect [1]. The holographic Schwinger effect in confining gauge theories has been studied in different backgrounds and universal behaviors have been obtained [11], the theory chosen here is different in that it has confined quarks but deconfined gluons at zero temperature and may help us understand new things about the confinement. This theory does not have any compactified direction and shows no geometric transition as temperature grows, unlike the other confined theories studied under an external electric field.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
