Flavor Condensate and Vacuum (In-)Stability in QED_(2+1)
Walter Dittrich, Holger Gies (Univ. Tuebingen, Germany)
TL;DR
This paper investigates (2+1)-dimensional QED by computing flavor condensates, their relation to energy-momentum trace, and the effective action in external magnetic fields, finding no energy lowering from spatial variations.
Contribution
It provides new calculations of flavor condensates and effective actions in (2+1)D QED, analyzing stability under non-uniform magnetic fields.
Findings
Flavor condensate computed and related to energy-momentum tensor.
Effective action for non-constant magnetic fields derived.
Spatial variations in magnetic fields do not lower ground state energy.
Abstract
In this letter we study (2+1)-dimensional QED. The first part contains the computation of the flavor symmetry-breaking condensate and its relation to the trace of the energy-momentum tensor, while the second part is concerned with the computation of the effective action allowing for non-constant static external magnetic fields. We do not find that space derivatives in the magnetic field lower the energy of the ground state as compared to a constant field configuration.
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