论文标题
在与D-Instanton的限制背景下的全息舒温格效应
Holographic Schwinger effect in the confining background with D-instanton
论文作者
论文摘要
使用量规 - 重力双重性,我们通过对D-Instantons的限制D3-和D4-Brane背景进行潜在的分析来研究全息造型的效应,然后通过分别考虑到基本的弦和单个风味毛毛,然后评估成对的产生/衰减率。带有D-Instantons的两个限制背景是从黑色D(-1)-D3和D0-D4溶液中获得的,具有双芯旋转。通过检查基本弦的NG作用以及在电场存在的情况下,单个风味勃兰人的DBI作用来计算施温格效应中的总潜力和成对的产生/衰减速率。在这两个背景下,我们的数值计算都与DBI动作评估的关键电场一致,并表明D-Instantons的存在增加了潜在的障碍,因此D-Instantons抑制了生产/衰减速率。我们的解释是,双场理论中的粒子可以通过Chern-Simons的相互作用或Theta项获得有效的质量,因为存在D-instantons,因此Schwinger效应中的成对生产/衰减率被抑制,因为它的表现为$ e^{ - m^{2}}} $。我们的结论与在零温度限制的D(-1)-D3背景中获得的先前结果一致,并从D0-D4背景中的风味棕色的方法中获得。从这个意义上讲,这项工作对于研究Maxwell-Chern-Simons理论中的相变和QCD中theta角的可观察效应也可能很显着。
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. Our 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 $e^{-m^{2}}$. Our 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.