Minimal Length Effects on Schwinger Mechanism

Schwinger particle-production mechanism for a finite-length flux tube with transverse confinement.

Previous results for the pair production probability in a strong electric field with a finite longitudinal separation are generalized to the case of a finitelength flux tube with transverse confinement. The threshold length of the flux tube, below which pair production cannot occur, increases as a result of transverse confinement. Typeset using REVTEX 1

On the Minimal Length of Semigroup Presentations

We define the length of a semigroup presentation and related ideas. Theoretical results and bounds are presented, gained while investigating the lengths of groups defined by semigroup presentations. Minimal length semigroup presentations are obtained in certain cases. AMS Mathematics Subject Classification (2000): 20F05, 20M05

On Minimal Length Factorizations of Finite Groups

Multiparticle correlations in the Schwinger mechanism

We discuss the Schwinger mechanism in scalar QED and derive the multiplicity distribution of particles created under an external electric field using the LSZ reduction formula. Assuming that the electric field is spatially homogeneous, we find that the particles of different momenta are produced independently, and that the multiplicity distribution in one mode follows a Bose-Einstein distributi...

Schwinger mechanism in linear covariant gauges

A. C. Aguilar, D. Binosi, and J. Papavassiliou University of Campinas UNICAMP, Institute of Physics “Gleb Wataghin”, 13083-859 Campinas, SP, Brazil European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler, Villa Tambosi, Strada delle Tabarelle 286, I-38123 Villazzano (TN) Italy Department of Theoretical Physics and IFIC, University of Vale...