Non-perturbative dynamics, pair condensation, confinement and dynamical masses in massless QED2+1

DOI10.1088/1751-8113/47/40/405401zbMATH Open1300.81076arXiv1405.7230OpenAlexW1986477225MaRDI QIDQ2926448

Michaël Fanuel, Jan Govaerts

Publication date: 24 October 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: Quantum electrodynamics in three spacetime dimensions, with one massless fermion species, is studied using a non-perturbative variational approach. Quantization of the theory follows Dirac's Hamiltonian procedure, with a gauge invariant factorization of the physical degrees of freedom. Due to pair condensation in the vacuum state, the symmetry of parity is spontaneously broken. As a consequence, fermionic quasi-particles propagating in the condensate can be identified and are seen to possess a confining dynamical mass, while the propagating physical electromagnetic mode also acquires a non-vanishing dynamical mass. The issues of gauge invariance and confinement of the constituent fermions are carefully discussed.

Full work available at URL: https://arxiv.org/abs/1405.7230

zbMATH Keywords

confinementpair condensationnon-perturbative field theory

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Electromagnetic interaction; quantum electrodynamics (81V10) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16)

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