Dual field approach to correlation functions in the Heisenberg xxz spin Chain
We study zero temperature correlation functions of the spin-$1\over 2$ Heisenberg XXZ model in the critical regime $-1< \Delta\leq 1$ in a magnetic field by means of the {\tenit Dual Field Approach}. We show for one particular example how to derive determinant representations for correlation...
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| Format: | Conference item |
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World Scientific Publishing Company Inc.
1995
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| _version_ | 1797101500518891520 |
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| author | Essler, F Korepin, V |
| author_facet | Essler, F Korepin, V |
| author_sort | Essler, F |
| collection | OXFORD |
| description | We study zero temperature correlation functions of the spin-$1\over 2$ Heisenberg XXZ model in the critical regime $-1< \Delta\leq 1$ in a magnetic field by means of the {\tenit Dual Field Approach}. We show for one particular example how to derive determinant representations for correlation functions and how to use these to embed the correlation functions in integrable systems of integro-difference equations (IDE). These IDE are associated with a Riemann-Hilbert problem. |
| first_indexed | 2024-03-07T05:52:51Z |
| format | Conference item |
| id | oxford-uuid:e97dcb0d-4441-4c51-a765-67c35a5d7700 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:52:51Z |
| publishDate | 1995 |
| publisher | World Scientific Publishing Company Inc. |
| record_format | dspace |
| spelling | oxford-uuid:e97dcb0d-4441-4c51-a765-67c35a5d77002022-03-27T10:54:47ZDual field approach to correlation functions in the Heisenberg xxz spin ChainConference itemhttp://purl.org/coar/resource_type/c_5794uuid:e97dcb0d-4441-4c51-a765-67c35a5d7700Symplectic Elements at OxfordWorld Scientific Publishing Company Inc.1995Essler, FKorepin, VWe study zero temperature correlation functions of the spin-$1\over 2$ Heisenberg XXZ model in the critical regime $-1< \Delta\leq 1$ in a magnetic field by means of the {\tenit Dual Field Approach}. We show for one particular example how to derive determinant representations for correlation functions and how to use these to embed the correlation functions in integrable systems of integro-difference equations (IDE). These IDE are associated with a Riemann-Hilbert problem. |
| spellingShingle | Essler, F Korepin, V Dual field approach to correlation functions in the Heisenberg xxz spin Chain |
| title | Dual field approach to correlation functions in the Heisenberg xxz spin
Chain |
| title_full | Dual field approach to correlation functions in the Heisenberg xxz spin
Chain |
| title_fullStr | Dual field approach to correlation functions in the Heisenberg xxz spin
Chain |
| title_full_unstemmed | Dual field approach to correlation functions in the Heisenberg xxz spin
Chain |
| title_short | Dual field approach to correlation functions in the Heisenberg xxz spin
Chain |
| title_sort | dual field approach to correlation functions in the heisenberg xxz spin chain |
| work_keys_str_mv | AT esslerf dualfieldapproachtocorrelationfunctionsintheheisenbergxxzspinchain AT korepinv dualfieldapproachtocorrelationfunctionsintheheisenbergxxzspinchain |