High-energy Scattering in Gauge Theories and Integrable Spin Chains

Karakhanyan, D.; Kirschner, R.

doi:10.1002/(sici)1521-3978(20001)48:1/3<139::aid-prop139>3.0.co;2-s

Cited by 8 publications

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“…Here we obtain the representation for the R-matrix in the operator form. The similar operator expression for the Hamiltonian of the XXX spin chain was used in [20,21,22]. In the sℓ(3) case we have derived the explicit expression for the general R-matrix in the factorized form…”

Section: Discussionmentioning

confidence: 99%

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Factorization of the R-matrix. I

Derkachov

2007

J Math Sci

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We study the general rational solution of the Yang-Baxter equation with the symmetry algebra sℓ(3). The R-operator acting in the tensor product of two arbitrary representations of the symmetry algebra can be represented as the product of the simpler "building blocks" -R-operators. The R-operators are constructed explicitly and have simple structure. We construct in a such way the general rational solution of the Yang-Baxter equation with the symmetry algebra sℓ(3). To illustrate the factorization in the simplest situation we treat also the sℓ(2) case.

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Section: Discussionmentioning

confidence: 99%

“…Here we obtain the representation for the R-matrix in the operator form. The similar operator expression for the Hamiltonian of the XXX spin chain was used in [20,21,22].…”

Section: Acknowledgmentsmentioning

confidence: 99%

Factorization of the R-matrix. I

Derkachov

2007

J Math Sci

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Heisenberg spin chains based on sℓ(2|1) symmetry

Derkachov¹,

Karakhanyan²,

Kirschner³

2000

Nuclear Physics B

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Universal -matrix as integral operator

2001

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Abstract.We derive the integral operator form for the general rational solution of the Yang-Baxter equation with sℓ(2|1) symmetry. Considering the defining relations for the kernel of the Roperator as a system of second order differential equations we observe remarkable reduction to a system of simple first order equations. The obtained kernel of R-operator has a very simple structure. To illustrate all this in the simplest situation we treat also the sℓ(2) case.

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High-energy Scattering in Gauge Theories and Integrable Spin Chains

Abstract: In the leading log approximation and at large N C the interaction of two fermionic and one gluonic reggeons is described by an integrable system corresponding to an open spin chain.

Cited by 8 publications

References 3 publications

Factorization of the R-matrix. I

Factorization of the R-matrix. I

Heisenberg spin chains based on sℓ(2|1) symmetry

Universal -matrix as integral operator

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