The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Form factors of the XXZ Heisenberg finite chain
Open accessAbstract
Form factors for local spin operators of the XXZ Heisenberg spin-1/2 finite chain are computed. Representation theory of Drinfel'd twists for the sl2 quantum affine algebra in finite dimensional modules is used to calculate scalar products of Bethe states (leading to Gaudin formula) and to solve the quantum inverse problem for local spin operators in the finite XXZ chain. Hence, we obtain the representation of the n-spin correlation functions in terms of expectation values(in ferromagnetic reference state) of the operator entries of the quantum monodromy matrix satisfying Yang-Baxter algebra. This leads to the direct calculation of the form factors of the XXZ Heisenberg spin-1/2 finite chain as determinants of usual functions of the parameters of the model. A two-point correlation function for adjacent sites is also derived using similar techniques.
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Cites
Infinite conformal symmetry in two-dimensional quantum field theory
Belavin, A. A., Polyakov, A. M., & Zamolodchikov, A. B. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90052-x · Cited by 4,840
Aq-difference analogue of U(g) and the Yang-Baxter equation
Jimbo, M. (1985) · Letters in Mathematical Physics · doi:10.1007/bf00704588 · Cited by 2,600
Zamolodchikov, A. B., & Zamolodchikov, A. B. (1979) · Annals of Physics · doi:10.1016/0003-4916(79)90391-9 · Cited by 2,011
Current algebra and Wess-Zumino model in two dimensions
Knizhnik, V. G., & Zamolodchikov, A. B. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90374-2 · Cited by 1,805
A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation
Jimbo, M. (1986) · Letters in Mathematical Physics · doi:10.1007/bf00400222 · Cited by 1,437
The Spontaneous Magnetization of a Two-Dimensional Ising Model
Yang, C. N. (1952) · Physical Review · doi:10.1103/physrev.85.808 · Cited by 1,221
Quantum inverse problem method. I
Sklyanin, E. K., Takhtadzhyan, L. A., & Faddeev, L. D. (1979) · Theoretical and Mathematical Physics · doi:10.1007/bf01018718 · Cited by 888
Calculation of norms of Bethe wave functions
Korepin, V. E. (1982) · Communications in Mathematical Physics · doi:10.1007/bf01212176 · Cited by 757
Wu, T. T., McCoy, B. M., Tracy, C. A., & Barouch, E. (1976) · Physical Review B · doi:10.1103/physrevb.13.316 · Cited by 694
Quantum affine algebras and holonomic difference equations
Frenkel, I., & Reshetikhin, N. (1992) · Communications in Mathematical Physics · doi:10.1007/bf02099206 · Cited by 575
Cited by
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
A Universal Operator Growth Hypothesis
Parker, D. E., Cao, X., Avdoshkin, A., Scaffidi, T., & Altman, E. (2019) · Physical Review X · doi:10.1103/physrevx.9.041017 · Cited by 367
Metadata
- Authors
- Kitanine, N., Maillet, J. M., & Terras, V.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1999-08
- Volume
- 554
- Issue
- 3
- Pages
- 647-678
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1817888371
- Cited by
- 390
- References
- 18
- FWCI
- 7.63
- Type
- journal article
- Language
- en
- Open access
- green
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