2017/10/15 by Ali Vahedi, Vahedi, Ali
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect
paper · pdf · doi:10.48550/arxiv.1710.05309
We study the ground state instability of a strongly coupled QFT with the\nz=2 Schr "odinger symmetry in a constant electric field using probe branes\nholography. The system is Nf \N=2 hypermultiplet fermions at zero\ncharge density in the supergravity Schr "odinger background. We show that the\ninstability occurs due to Schwinger-like effect and an insulator state will\nundergo a transition to a conductor state. We calculate the decay rate of\ninstability and pair production probability by using the gauge/gravity\nduality. At zero temperature for massive fermions, we suggest that the\ninstability occurs if the critical electric field is larger than the confining\nforce between fermions, which is proportional to an effective mass. We\ndemonstrate that, at zero temperature, the Schr "odinger background simulates\nthe role of a crystal lattice for massive particles. We also show that at\nfinite 't Hooft coupling for particles with a mass higher than\n\(\√(\λ))/(\π b), in this background, instability does not\noccur, no matter how large the external electric field is, meaning that we have\na \perfect insulator. Moreover, we derive Euler-Heisenberg effective\nLagrangian for the non-relativistic strongly correlated quantum theory from\nprobe branes holography in Schr "odinger spacetime.\n