Hidden Grassmann structure in the XXZ model

Jun, 2006
20 pages
Published in:
  • Commun.Math.Phys. 272 (2007) 263-281
e-Print:

Citations per year

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Abstract:
For the critical XXZ model, we consider the space W of operators which are products of local operators with a disorder operator. We introduce two anti-commutative family of operators b(z), c(z) which act on the space W. These operators are constructed as traces over representations of the q-oscillator algebra, in close analogy with Baxter's Q-operators. We show that the vacuum expectation values of operators in W can be expressed in terms of an exponential of a quadratic form of b(z), c(z).
  • statistical mechanics
  • XXZ model
  • Hamiltonian formalism
  • correlation function
  • operator: algebra
  • algebra: Grassmann
  • algebra: oscillator