Connecting real-time properties of the massless Schwinger model to the massive case

F. Hebenstreit and J. Berges
Phys. Rev. D 90, 045034 – Published 27 August 2014

Abstract

Quantum electrodynamics in 1+1 space-time dimensions is analytically solvable for massless fermions, while no solution is known for massive fermions. Employing the classical-statistical approach, we simulate the real-time dynamics on a lattice using Wilson fermions with mass m at gauge coupling g. It is shown that quantitative properties of the massless Schwinger model are emerging in the limit of large g/m. We investigate two scenarios corresponding to opposite charges which are either held fixed or moving back-to-back along the light cone, as employed in effective descriptions for jet energy loss and photon production in the context of heavy-ion collisions. Remarkably, we find that the dynamics is rather well described by the massless limit for a wide range of mass values at fixed coupling. Moreover, our study shows that previous approximate scenarios with external charges on the light cone rather accurately capture the self-consistent dynamics of the energy conserving simulation.

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  • Received 18 June 2014

DOI:https://doi.org/10.1103/PhysRevD.90.045034

© 2014 American Physical Society

Authors & Affiliations

F. Hebenstreit1,* and J. Berges1,2

  • 1Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
  • 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum, Planckstraße 1, 64291 Darmstadt, Germany

  • *f.hebenstreit@thphys.uni-heidelberg.de

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Vol. 90, Iss. 4 — 15 August 2014

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