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Corrections to Wigner-Eckart Relations by Spontaneous Symmetry Breaking
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
Number of Authors: 22020 (English)In: Symmetry, E-ISSN 2073-8994, Vol. 12, no 7, article id 1120Article in journal (Refereed) Published
Abstract [en]

The matrix elements of operators transforming as irreducible representations of an unbroken symmetry groupGare governed by the well-known Wigner-Eckart relations. In the case of infinite-dimensional systems, withGspontaneously broken, we prove that the corrections to such relations are provided by symmetry breaking Ward identities, and simply reduce to a tadpole term involving Goldstone bosons. The analysis extends to the case in which an explicit symmetry breaking term is present in the Hamiltonian, with the tadpole term now involving pseudo Goldstone bosons. An explicit example is discussed, illustrating the two cases.

Place, publisher, year, edition, pages
2020. Vol. 12, no 7, article id 1120
Keywords [en]
spontaneous symmetry breaking, Wigner-Eckart, ward identities
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-184540DOI: 10.3390/sym12071120ISI: 000554222000001OAI: oai:DiVA.org:su-184540DiVA, id: diva2:1465390
Available from: 2020-09-09 Created: 2020-09-09 Last updated: 2022-05-10Bibliographically approved

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Heissenberg, Carlo

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