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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

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Received: 13.02.1984

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
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\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}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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