Matches in SemOpenAlex for { <https://semopenalex.org/work/W2032070223> ?p ?o ?g. }
- W2032070223 endingPage "332" @default.
- W2032070223 startingPage "247" @default.
- W2032070223 abstract "Abstract Presented is a review on theory of exactly solvable models in statistical mechanics and its application to knot theory. The Yang-Baxter relation, a sufficient condition for the solvability of models, is introduced for scattering matrices in (1 + 1)-dimensional field theory and for Boltzmann weights of vertex models and IRF models in two-dimensional statistical mechanics. A systematic study of solutions of the Yang-Baxter relation shows that there exists at least an infinite number of two-dimensional exactly solvable models in classical statistical mechanics. The result implies that each universality class has at least one exactly solvable model. A novel connection between physics and mathematics is exposed. Namely, a general theory to derive link polynomials, topological invariants for knots and links, from the exactly solvable models is presented. It is emphasized that the Yang-Baxter relation is a key to relate various new developments in recent theoretical physics." @default.
- W2032070223 created "2016-06-24" @default.
- W2032070223 creator A5014346547 @default.
- W2032070223 creator A5015324100 @default.
- W2032070223 creator A5051753739 @default.
- W2032070223 date "1989-09-01" @default.
- W2032070223 modified "2023-09-23" @default.
- W2032070223 title "Exactly solvable models and knot theory" @default.
- W2032070223 cites W1573845583 @default.
- W2032070223 cites W1964914120 @default.
- W2032070223 cites W1968348334 @default.
- W2032070223 cites W1968545731 @default.
- W2032070223 cites W1970192247 @default.
- W2032070223 cites W1972978647 @default.
- W2032070223 cites W1975131884 @default.
- W2032070223 cites W1978227273 @default.
- W2032070223 cites W1978649284 @default.
- W2032070223 cites W1978967929 @default.
- W2032070223 cites W1979787675 @default.
- W2032070223 cites W1982428017 @default.
- W2032070223 cites W1983117920 @default.
- W2032070223 cites W1987734322 @default.
- W2032070223 cites W1987751701 @default.
- W2032070223 cites W1988581119 @default.
- W2032070223 cites W1989651744 @default.
- W2032070223 cites W1989980582 @default.
- W2032070223 cites W1990991669 @default.
- W2032070223 cites W1991245043 @default.
- W2032070223 cites W1991382368 @default.
- W2032070223 cites W1992830217 @default.
- W2032070223 cites W1998081080 @default.
- W2032070223 cites W1999009438 @default.
- W2032070223 cites W2001367769 @default.
- W2032070223 cites W2001983765 @default.
- W2032070223 cites W2002430810 @default.
- W2032070223 cites W2004706791 @default.
- W2032070223 cites W2005684939 @default.
- W2032070223 cites W2007032972 @default.
- W2032070223 cites W2007185418 @default.
- W2032070223 cites W2007547965 @default.
- W2032070223 cites W2007886396 @default.
- W2032070223 cites W2009594424 @default.
- W2032070223 cites W2009930506 @default.
- W2032070223 cites W2010099690 @default.
- W2032070223 cites W2010349495 @default.
- W2032070223 cites W2013508682 @default.
- W2032070223 cites W2015804654 @default.
- W2032070223 cites W2015986542 @default.
- W2032070223 cites W2017525643 @default.
- W2032070223 cites W2018688164 @default.
- W2032070223 cites W2019813441 @default.
- W2032070223 cites W2020614562 @default.
- W2032070223 cites W2021729676 @default.
- W2032070223 cites W2022991310 @default.
- W2032070223 cites W2024949453 @default.
- W2032070223 cites W2025352882 @default.
- W2032070223 cites W2025438161 @default.
- W2032070223 cites W2029356330 @default.
- W2032070223 cites W2030669316 @default.
- W2032070223 cites W2045261938 @default.
- W2032070223 cites W2045296938 @default.
- W2032070223 cites W2047547788 @default.
- W2032070223 cites W2050639649 @default.
- W2032070223 cites W2051399857 @default.
- W2032070223 cites W2051644876 @default.
- W2032070223 cites W2051670872 @default.
- W2032070223 cites W2052372389 @default.
- W2032070223 cites W2054472340 @default.
- W2032070223 cites W2054933760 @default.
- W2032070223 cites W2054971113 @default.
- W2032070223 cites W2055555040 @default.
- W2032070223 cites W2056261221 @default.
- W2032070223 cites W2056954154 @default.
- W2032070223 cites W2057306003 @default.
- W2032070223 cites W2060122780 @default.
- W2032070223 cites W2061067525 @default.
- W2032070223 cites W2063481005 @default.
- W2032070223 cites W2063520400 @default.
- W2032070223 cites W2065491377 @default.
- W2032070223 cites W2066373291 @default.
- W2032070223 cites W2068217923 @default.
- W2032070223 cites W2069182458 @default.
- W2032070223 cites W2070746584 @default.
- W2032070223 cites W2074670256 @default.
- W2032070223 cites W2078566664 @default.
- W2032070223 cites W2078729167 @default.
- W2032070223 cites W2079590170 @default.
- W2032070223 cites W2080866431 @default.
- W2032070223 cites W2080878200 @default.
- W2032070223 cites W2081087246 @default.
- W2032070223 cites W2081480012 @default.
- W2032070223 cites W2084975097 @default.
- W2032070223 cites W2085317371 @default.
- W2032070223 cites W2085351978 @default.
- W2032070223 cites W2087643476 @default.
- W2032070223 cites W2088593317 @default.
- W2032070223 cites W2089024180 @default.
- W2032070223 cites W2091476331 @default.