Study Of The Holographic Schwinger Effect

The Schwinger effect is the “Insulator-Conductor” transition of the vacuum caused by strong electrical fields.This is a typical non-perturbative phenomenon.The research on non-perturbative phenomenas is always important and difficult problem in physics and mathematics,encouraging the most intelligent researchers to think and explore,and bringing new methods at last.The study on this question promotes the advancing and developing of physics.It can be regarded as a chicken that lays golden eggs.As a special example,“gauge/gravity” duality,or AdS/CFT,is one of the golden eggs.This duality is firstly purposed in 1998.It has become the research focus in many fields during these years.The main content of this degree paper is just one example of using this duality to study the Schwinger effect.In 2011,an important observable of the Schwinger effect,the virtual pairs’ production rate in a QED-like theory,is calculated by G.W.Semenoff and K.Zarembo using the“gauge/gravity” duality.In 2014,the production rate of the Schwinger effect in a QCDlike theory is calculated numerically by D.Kawai,Y.Sato and K.Yoshida(KSY hereafter)using the same method.KSY study the critical behavior of Schwinger pairs’ production rate v.s.external fields’ strength relation.They find three critical exponents which are independent of the pair particles’ mass.Based on their work,we study the non-critical behavior of the same relation.We find two new observables which are also independent of pair particles’ mass through numerical fittings.We also study the physical means of these two new observables.Additionally,we check the applicability of the critical exponents found by Kawai,Sato and Yoshida in other models,and confirm their independence of models.