Note on the Abelian Higgs-Kibble model on a lattice: Absence of spontaneous magnetization
- 15 March 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 17 (6) , 1624-1628
- https://doi.org/10.1103/physrevd.17.1624
Abstract
We study the magnetization (expectation value of the scalar field in the presence of a symmetry-breaking term) for the Abelian Higgs-Kibble model quantized on a Euclidean space-time lattice according to Wilson's procedure and show that it vanishes when the external field goes to zero. More explicitly, we show that the gauge invariance of the infinite-volume system is recovered when the symmetry-breaking term is removed.Keywords
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