## 433 Citations

Twisted Heisenberg chain and the six-vertex model with DWBC

- Mathematics
- 2013

In this work we establish a relation between the six-vertex model with Domain Wall Boundary Conditions (DWBC) and the XXZ spin chain with anti-periodic twisted boundaries. More precisely, we…

An algebraic Bethe ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model

- Mathematics
- 2013

We consider the problem of the exact computation of the correlation functions of the eight-vertex solid-on-solid model by means of the algebraic Bethe ansatz. We compute the scalar product between a…

Ising Models with Four Spin Interaction at Criticality

- Physics
- 2004

We consider two bidimensional Ising models coupled by an interaction quartic in the spins, like in the spin representation of the Eight vertex or the Ashkin-Teller model. By Renormalization Group…

Functional relations and the Yang-Baxter algebra

- Mathematics
- 2013

Functional equations methods are a fundamental part of the theory of Exactly Solvable Models in Statistical Mechanics and they are intimately connected with Baxter's concept of commuting transfer…

Exercises with the universal R-matrix

- Mathematics
- 2010

Using the formula for the universal R-matrix proposed by Khoroshkin and Tolstoy, we give a detailed derivation of L-operators for the quantum groups associated with the generalized Cartan matrices…

The Drinfel'd twisted XYZ model

- Mathematics
- 2000

We construct a factorizing Drinfel'd twist for a face type model equivalent to the XYZ model. Completely symmetric expressions for the operators of the monodromy matrix are obtained.

Algebra versus analysis in statistical mechanics and quantum field theory

- Physics
- 2000

I contrast the profound differences in the ways in which algebra and analysis are used in physics. In particular I discuss the fascinating phenomenon that theoretical physicists devote almost all…

Q A ] 2 1 A pr 2 00 3 Free field constructions for the elliptic algebra A q , p ( ̂ sl 2 ) and Baxter ’ s eight-vertex model ∗

- Mathematics, Physics

Free field constructions for the elliptic algebra A q,p (sl 2) and Baxter's eight-vertex model Abstract Three examples of free field constructions for the vertex operators of the elliptic quantum…

Tensor Network Contractions

- PhysicsLecture Notes in Physics
- 2020

This lecture notes focuses on the contraction algorithms of TN as well as some of the applications to the simulations of quantum many-body systems, and revisits the TN approaches from the perspective of multi-linear algebra and quantum simulation.