Abstract
We use the method of evaluating the decay rate in terms of the imaginary part of a probe brane action to study the holographic Schwinger effect. In the confining D3-branes case, we find that the Schwinger effect occurs at energy scales higher than the Kaluza-Klein mass, indicating the absence of such effect when the dual gauge field theory can be regarded as an 2+1 dimensional theory. This property is independent of the configuration of the probe brane. In the case of D3-branes with a B field dual to a noncommutative super Yang-Mills theory, we study how the decay rate is affected by the noncommutative effect.
Highlights
In the confining D3-branes case, we find that the Schwinger effect occurs at energy scales higher than the Kaluza-Klein mass, indicating the absence of such effect when the dual gauge field theory can be regarded as an 2+1 dimensional theory
In the case of D3-branes with a B field dual to a noncommutative super Yang-Mills theory, we study how the decay rate is affected by the noncommutative effect
By evaluating the imaginary part of the DBI action of the probe brane, we obtained the flavor pair production rate in large N strongly coupled 3+1 dimensional super-Yang Mills (SYM) compactified on a circle
Summary
The key idea of evaluating the vacuum decay rate via the DBI action is the following. The vacuum is given by a Dp/Dq brane configuration which is a solution to the embedding equation arising from the probe brane action without any world volume gauge field. Possible instability of the vacuum is caused by turning on the world volume gauge field. The original probe brane configuration is in general not a solution to the embedding equation in the presence of the gauge field. We don’t need to follow the full evolution of the system since we are only concerned with the onset of the instability induced by the gauge field. As proposed in [23], the decay rate is given by the imaginary part of the DBI action of the original probe brane configuration with a U(1) field turned on
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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 call
