Hidden Grassmann structure in the XXZ model
Jun, 2006
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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
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