Master equation for spin–spin correlation functions of the chain
| Autor: | Nikolai Kitanine, Véronique Terras, J. M. Maillet, Nikita Andreevich Slavnov |
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| Přispěvatelé: | Laboratoire de Physique Théorique et Modélisation (LPTM - UMR 8089), Centre National de la Recherche Scientifique (CNRS)-CY Cergy Paris Université (CY), Laboratoire de Physique de l'ENS Lyon (Phys-ENS), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS), Steklov Mathematical Institute [Moscow] (SMI), Russian Academy of Sciences [Moscow] (RAS), Laboratoire de Physique Théorique et Astroparticules (LPTA), Université Montpellier 2 - Sciences et Techniques (UM2)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS), CNRS, ENS Lyon, École normale supérieure - Lyon (ENS Lyon)-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon |
| Rok vydání: | 2005 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Correlation functions [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] FOS: Physical sciences 01 natural sciences Bethe ansatz symbols.namesake Chain (algebraic topology) [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 0103 physical sciences Master equation Correlation integral 010306 general physics spin chain Mathematical physics Spin-½ Physics Series (mathematics) [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 010308 nuclear & particles physics Multiple integral Ornstein–Zernike equation High Energy Physics - Theory (hep-th) Quantum integrable models symbols Condensed Matter::Strongly Correlated Electrons |
| Zdroj: | Nuclear Physics B Nuclear Physics B, 2005, 712 (3), pp.600-622. ⟨10.1016/j.nuclphysb.2005.01.050⟩ Nuclear Physics B, Elsevier, 2005, 712 (3), pp.600-622. ⟨10.1016/j.nuclphysb.2005.01.050⟩ |
| ISSN: | 0550-3213 |
| DOI: | 10.1016/j.nuclphysb.2005.01.050 |
| Popis: | We derive a new representation for spin-spin correlation functions of the finite XXZ spin-1/2 Heisenberg chain in terms of a single multiple integral, that we call the master equation. Evaluation of this master equation gives rise on the one hand to the previously obtained multiple integral formulas for the spin-spin correlation functions and on the other hand to their expansion in terms of the form factors of the local spin operators. Hence, it provides a direct analytic link between these two representations of the correlation functions and a complete re-summation of the corresponding series. The master equation method also allows one to obtain multiple integral representations for dynamical correlation functions. Comment: 24 pages |
| Databáze: | OpenAIRE |
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