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 TMF, 1984, Volume 61, Number 3, Pages 419–430 (Mi tmf5764)

Dynamical variable and chiral properties of the vacuum in the Schwinger model

A. V. Kiselev

Abstract: The Schwinger model for a system in a box is studied in the Hamiltonian formalism in the Coulomb and axial gauges. It is shown that the vacuum degeneracy in the model is a gauge artefact, and gauge-noninvariant quantities whose conservation leads to the degeneracy are specified. It is established that the dynamical variable in the model is the gauge-invariant axial charge. In the case when the vacuum is degenerate, the ground state contains a zero-mode condensate. In the limit of an infinite box, the zero mode leaves the vacuum but remains in the Hamiltonian in a separated form.

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English version:
Theoretical and Mathematical Physics, 1984, 61:3, 1233–1241

Bibliographic databases:

Citation: A. V. Kiselev, “Dynamical variable and chiral properties of the vacuum in the Schwinger model”, TMF, 61:3 (1984), 419–430; Theoret. and Math. Phys., 61:3 (1984), 1233–1241

Citation in format AMSBIB
\Bibitem{Kis84} \by A.~V.~Kiselev \paper Dynamical variable and chiral properties of the vacuum in the Schwinger model \jour TMF \yr 1984 \vol 61 \issue 3 \pages 419--430 \mathnet{http://mi.mathnet.ru/tmf5764} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=778361} \transl \jour Theoret. and Math. Phys. \yr 1984 \vol 61 \issue 3 \pages 1233--1241 \crossref{https://doi.org/10.1007/BF01035009} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1984ALJ5900010}