11481265
Reduced qKZ Equation and Correlation Functions of the XXZ Model
Correlation functions of the XXZ model in the massive and massless regimes are known to satisfy a system of linear equations. The main relations among them are the difference equations obtained from the qKZ equation by specializing the variables (λ1, . . . ,λ2n) as (λ1, . . . ,λn,λn+1, . . . ,λ1+1). We call it the reduced qKZ equation. In this article we construct a special family of solutions to this system. They can be written as linear combinations of products of two transcendental functions ,ω with coefficients being rational functions. We show that correlation functions of the XXZ model in the massive regime are given by these formulas with an appropriate choice of ,ω. We also present a conjectural formula in the massless regime.
119441003
Central elements of the elliptic Yang--Baxter algebra at roots of unity
We give central elements of the Yang-Baxter algebra for the $R$-matrix of the eight-vertex model, in the case when the crossing parameter is a rational multiple of one of the periods.
120357954
New R Matrices Associated with Cyclic Representations of Uq(A2(2))
125398015
Monodromy Preserving Deformations Of Linear Differential Equations With Rational Coefficients. 1.
119144130
Creation operators for the Fateev-Zamolodchikov spin chain
In previous works, we studied the problem of constructing a basis in the space of local operators for an anisotropic XXZ spin chain with spin 1/2 such that the vacuum expectation values have a simple form. For this, we introduced fermionic creation operators. Here, we extend this construction to the spin-1 case. Using a certain version of the fusion procedure, we find two doublets of fermionic creation operators and one triplet of bosonic creation operators. We prove that the basis obtained by the action of these operators satisfies the dual reduced quantum Knizhnik-Zamolodchikov equation.
119214853
Hidden Grassmann Structure in the XXZ Model II: Creation Operators
In this article we unveil a new structure in the space of operators of the XXZ chain. For each α we consider the space $${\mathcal W_\alpha}$$ of all quasi-local operators, which are products of the disorder field $${q^{\alpha \sum_{j=-\infty}^0\sigma ^3_j}}$$ with arbitrary local operators. In analogy with CFT the disorder operator itself is considered as primary field. In our previous paper, we have introduced the annhilation operators b(ζ), c(ζ) which mutually anti-commute and kill the “primary field”. Here we construct the creation counterpart b*(ζ), c*(ζ) and prove the canonical anti-commutation relations with the annihilation operators. We conjecture that the creation operators mutually anti-commute, thereby upgrading the Grassmann structure to the fermionic structure. The bosonic operator t*(ζ) is the generating function of the adjoint action by local integrals of motion, and commutes entirely with the fermionic creation and annihilation operators. Operators b*(ζ), c*(ζ), t*(ζ) create quasi-local operators starting from the primary field. We show that the ground state averages of quasi-local operators created in this way are given by determinants.
124766765
SINGLE W PRODUCTION ASSOCIATED WITH SUSY PARTICLES IN LONGITUDINALLY POLARIZED e+ e- COLLISIONS
16969156
The SUSY-GRACE system
We introduce a new method to treat Majorana fermions on the GRACE system which has been developed for the computation of the matrix elements for the processes of the standard model. In the standard model, we already have such particles as Dirac fermions, gauge bosons and scalar bosons in the system. On the other hand, in the SUSY models there are Majorana fermions. In the first instance, we have constructed a system for the automatic computation of cross-sections for the processes of the SUSY QED. It is remarkable that our system is also applicable to