É Derkachov, Sergey ; Manashov, Alexander N
Alternative Links zum Volltext:DOIVerlag
Dokumentenart: | Artikel |
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Titel eines Journals oder einer Zeitschrift: | Journal of Physics A: Mathematical and Theoretical |
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Verlag: | IOP PUBLISHING LTD |
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Ort der Veröffentlichung: | BRISTOL |
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Band: | 42 |
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Nummer des Zeitschriftenheftes oder des Kapitels: | 7 |
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Seitenbereich: | 075204 |
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Datum: | 2009 |
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Institutionen: | Physik > Institut für Theoretische Physik |
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Identifikationsnummer: | Wert | Typ |
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10.1088/1751-8113/42/7/075204 | DOI |
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Stichwörter / Keywords: | CONFORMAL FIELD-THEORY; INTEGRABLE STRUCTURE; BETHE-ANSATZ; REPRESENTATION-THEORY; FUNCTIONAL-EQUATIONS; QUANTUM; LATTICE; MODELS; SEPARATION; VARIABLES; |
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Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 530 Physik |
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Status: | Veröffentlicht |
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Begutachtet: | Ja, diese Version wurde begutachtet |
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An der Universität Regensburg entstanden: | Ja |
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Dokumenten-ID: | 67406 |
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Zusammenfassung
We develop an approach for constructing the Baxter Q-operators for generic sl(N) spin chains. The key element of our approach is the possibility of representing a solution of the Yang-Baxter equation in the factorized form. We prove that such a representation holds for a generic sl(N) invariant R-operator and find the explicit expression for the factorizing operators. Taking trace of monodromy ...
Zusammenfassung
We develop an approach for constructing the Baxter Q-operators for generic sl(N) spin chains. The key element of our approach is the possibility of representing a solution of the Yang-Baxter equation in the factorized form. We prove that such a representation holds for a generic sl(N) invariant R-operator and find the explicit expression for the factorizing operators. Taking trace of monodromy matrices constructed of the factorizing operators one defines a family of commuting (Baxter) operators on the quantum space of the model. We show that a generic transfer matrix factorizes into the product of N Baxter Q-operators and discuss an application of this representation for a derivation of functional relations for transfer matrices.