Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100308758> ?p ?o ?g. }
- W3100308758 endingPage "1408" @default.
- W3100308758 startingPage "1375" @default.
- W3100308758 abstract "In a previous paper, the author has established an extension of the Z-invariance property for integrable edge-interaction models of statistical mechanics, that satisfy the star-triangle relation (STR) form of the Yang-Baxter equation (YBE). In the present paper, an analogous extended Z-invariance property is shown to also hold for integrable vector models and interaction-round-a-face (IRF) models of statistical mechanics respectively. As for the previous case of the STR, the Z-invariance property is shown through the use of local cubic-type deformations of a 2-dimensional surface associated to the models, which allow an extension of the models onto a subset of next nearest neighbour vertices of $mathbb{Z}^3$, while leaving the partition functions invariant. These deformations are permitted as a consequence of the respective YBE's satisfied by the models. The quasi-classical limit is also considered, and it is shown that an analogous Z-invariance property holds for the variational formulation of classical discrete Laplace equations which arise in this limit. From this limit, new integrable 3D-consistent multi-component quad equations are proposed, which are constructed from a degeneration of the equations of motion for IRF Boltzmann weights." @default.
- W3100308758 created "2020-11-23" @default.
- W3100308758 creator A5015269721 @default.
- W3100308758 date "2019-07-05" @default.
- W3100308758 modified "2023-10-16" @default.
- W3100308758 title "Extended Z-Invariance for Integrable Vector and Face Models and Multi-component Integrable Quad Equations" @default.
- W3100308758 cites W1540531352 @default.
- W3100308758 cites W1868230158 @default.
- W3100308758 cites W1964073294 @default.
- W3100308758 cites W1965667005 @default.
- W3100308758 cites W1990255502 @default.
- W3100308758 cites W1994524216 @default.
- W3100308758 cites W1999779019 @default.
- W3100308758 cites W2011656937 @default.
- W3100308758 cites W2014636915 @default.
- W3100308758 cites W2014994619 @default.
- W3100308758 cites W2026926828 @default.
- W3100308758 cites W2028180395 @default.
- W3100308758 cites W2028709878 @default.
- W3100308758 cites W2043798112 @default.
- W3100308758 cites W2088536379 @default.
- W3100308758 cites W2089985323 @default.
- W3100308758 cites W2095362726 @default.
- W3100308758 cites W2098176715 @default.
- W3100308758 cites W2108373756 @default.
- W3100308758 cites W2135745986 @default.
- W3100308758 cites W2160288246 @default.
- W3100308758 cites W2169108837 @default.
- W3100308758 cites W2190099388 @default.
- W3100308758 cites W2615463406 @default.
- W3100308758 cites W2952736867 @default.
- W3100308758 cites W2963503464 @default.
- W3100308758 cites W2963720939 @default.
- W3100308758 cites W2964350268 @default.
- W3100308758 cites W3098340564 @default.
- W3100308758 cites W3098492176 @default.
- W3100308758 cites W3098749002 @default.
- W3100308758 cites W3101746897 @default.
- W3100308758 cites W3102257296 @default.
- W3100308758 cites W3102428845 @default.
- W3100308758 cites W3103119507 @default.
- W3100308758 cites W3106275102 @default.
- W3100308758 cites W3106357494 @default.
- W3100308758 cites W4240867252 @default.
- W3100308758 cites W4300866069 @default.
- W3100308758 doi "https://doi.org/10.1007/s10955-019-02346-9" @default.
- W3100308758 hasPublicationYear "2019" @default.
- W3100308758 type Work @default.
- W3100308758 sameAs 3100308758 @default.
- W3100308758 citedByCount "8" @default.
- W3100308758 countsByYear W31003087582019 @default.
- W3100308758 countsByYear W31003087582020 @default.
- W3100308758 countsByYear W31003087582021 @default.
- W3100308758 countsByYear W31003087582023 @default.
- W3100308758 crossrefType "journal-article" @default.
- W3100308758 hasAuthorship W3100308758A5015269721 @default.
- W3100308758 hasBestOaLocation W31003087582 @default.
- W3100308758 hasConcept C121332964 @default.
- W3100308758 hasConcept C121864883 @default.
- W3100308758 hasConcept C134306372 @default.
- W3100308758 hasConcept C151201525 @default.
- W3100308758 hasConcept C190470478 @default.
- W3100308758 hasConcept C200741047 @default.
- W3100308758 hasConcept C202444582 @default.
- W3100308758 hasConcept C33923547 @default.
- W3100308758 hasConcept C37914503 @default.
- W3100308758 hasConcept C97937538 @default.
- W3100308758 hasConcept C99874945 @default.
- W3100308758 hasConceptScore W3100308758C121332964 @default.
- W3100308758 hasConceptScore W3100308758C121864883 @default.
- W3100308758 hasConceptScore W3100308758C134306372 @default.
- W3100308758 hasConceptScore W3100308758C151201525 @default.
- W3100308758 hasConceptScore W3100308758C190470478 @default.
- W3100308758 hasConceptScore W3100308758C200741047 @default.
- W3100308758 hasConceptScore W3100308758C202444582 @default.
- W3100308758 hasConceptScore W3100308758C33923547 @default.
- W3100308758 hasConceptScore W3100308758C37914503 @default.
- W3100308758 hasConceptScore W3100308758C97937538 @default.
- W3100308758 hasConceptScore W3100308758C99874945 @default.
- W3100308758 hasFunder F4320334764 @default.
- W3100308758 hasIssue "6" @default.
- W3100308758 hasLocation W31003087581 @default.
- W3100308758 hasLocation W31003087582 @default.
- W3100308758 hasOpenAccess W3100308758 @default.
- W3100308758 hasPrimaryLocation W31003087581 @default.
- W3100308758 hasRelatedWork W1966947787 @default.
- W3100308758 hasRelatedWork W1968427005 @default.
- W3100308758 hasRelatedWork W1981909949 @default.
- W3100308758 hasRelatedWork W2002850650 @default.
- W3100308758 hasRelatedWork W2088544526 @default.
- W3100308758 hasRelatedWork W2328914155 @default.
- W3100308758 hasRelatedWork W2901496727 @default.
- W3100308758 hasRelatedWork W2963385568 @default.
- W3100308758 hasRelatedWork W4300989177 @default.
- W3100308758 hasRelatedWork W287701015 @default.
- W3100308758 hasVolume "176" @default.
- W3100308758 isParatext "false" @default.
- W3100308758 isRetracted "false" @default.