Search for periodic vacuum in QED$_2$

Details Search for periodic vacuum in QED$_2$ Search for periodic vacuum in QED$_2$

1999-10-26

arxiv.org/abs/hep-th/9910203v1

Heavy Ion Phys.11:67-83,2000

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 4 figures

Scientific paper

It is shown that the vacuum of QED$_2$ in Minkowski spacetime does not favour a periodic electric mean field. The projected effective action exhibiting a genuine dependence on the non-vanishing background field has been introduced. The functional dependence of the energy density of the vacuum on the assumed periodic vacuum expectation value of the vector potential is determined from the component $T^{00}$ of the energy-momentum tensor at one-loop order. Treating the background field non-perturbatively, the energy of the vacuum in the presence of a periodic mean field is found not be equal to the negative of the effective action.

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