Multidimensional quantum tunneling in the Schwinger effect

Download
2016-03-22
Dumlu, Cesim K.
We study the Schwinger effect, in which the external field having a spatiotemporal profile creates electron-positron pairs via multidimensional quantum tunneling. Our treatment is based on the trace formula for the QED effective action, whose imaginary part is represented by a sum over complex worldline solutions. The worldlines are multiperiodic, and the periods of motion collectively depend on the strength of spatial and temporal inhomogeneity. We argue that the classical action that leads to the correct tunneling amplitude must take into account both the full period, (T) over tilde and the first fundamental period, T-1. In view of this argument we investigate pair production in an exponentially damped sinusoidal field and find that the initial momenta for multiperiodic trajectories lie on parabolic curves, such that on each curve the ratio (T) over tilde /T1 stays uniform. Evaluation of the tunneling amplitude using these trajectories shows that vacuum decay rate is reduced by an order of magnitude, with respect to the purely time-dependent case, due to the presence of magnetic field.
PHYSICAL REVIEW D

Suggestions

Multipole moments of heavy vector and axial-vector mesons in QCD
Aliev, T. M.; Bilmis, S.; Savcı, Mustafa (American Physical Society (APS), 2020-03-09)
The magnetic and quadrupole moments of the vector and axial-vector mesons containing a heavy quark are estimated within the light-cone sum rules method. Our predictions on magnetic moments for the vector mesons are compared with the results obtained by other approaches.
Spherically symmetric solutions of Einstein plus non-polynomial gravities
Deser, S.; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (Springer Science and Business Media LLC, 2008-01-01)
We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to maintain the (first) derivative order of the Einstein equations in Schwarzschild gauge. Generically, the solutions exhibit both horizons and a singularity at the origin, except for one model that forbids spherical symmetry altogether. Extensions to arbitrary dimension with a cos...
Electric dipole moments of charged leptons and lepton flavor violating interactions in the general two Higgs doublet model
Iltan, EO (American Physical Society (APS), 2001-07-01)
We calculate the electric dipole moment of the electron using the experimental result of the muon electric dipole moment and upper limit of the BR(mu-->e gamma) in the framework of the general two Higgs doubler model. Our prediction is 10(-32) e cm, which lies in the experimental current limits. Further, we obtain constraints for the Yukawa couplings )over bar>(D)(N,taue) and )over bar>(D)(N,tau mu). Finally, we present an expression which connects the BR(tau-->mu gamma) and the electric dipole moment of th...
Shortcuts to high symmetry solutions in gravitational theories
Deser, S; Tekin, Bayram (IOP Publishing, 2003-11-21)
We apply the Weyl method, as sanctioned by Palais' symmetric criticality theorems, to obtain those-highly symmetric-geometries amenable to explicit solution, in generic gravitational models and dimension. The technique consists of judiciously violating the rules of variational principles by inserting highly symmetric, and seemingly gauge fixed, metrics into the action, then varying it directly to arrive at a small number of transparent, indexless, field equations. Illustrations include spherically and axial...
Circularly symmetric solutions of minimal massive gravity at its merger point
Sarıoğlu, Bahtiyar Özgür (IOP Publishing, 2019-07-25)
I find all the static circularly symmetric solutions of minimal massive 3D gravity at its merger point, construct stationary versions of these and discuss some of their geometric and physical properties. It turns out that apart from a static hairy black hole, there is also a static gravitational soliton, that has been overlooked in the literature.
Citation Formats
C. K. Dumlu, “Multidimensional quantum tunneling in the Schwinger effect,” PHYSICAL REVIEW D, pp. 0–0, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63801.