Schwinger-Type Pair Production in Non-SUSY AdS/CFT

Figure 4

The plot indicates the effective potential (in the presence of external electric field) vs. the interquark separation. Imagine this to be then potential through which tunnels out. The green line indicates and blue line for . The parameter is the ratio of the applied field to its threshold value. The red line which exhibits the threshold behavior, i.e., no potential barrier, stands for and cyan for shows catastrophic decay of vacuum. Note that at the threshold/critical value, the slope of the potential vanishes at and is negative for nonzero value of which is precisely the conditions we have used to analytically find out the value of . Also note that none of the above plots exhibit confining behavior as earlier reported in literature. The values used are , , and .