q-Deformed grassmann fields and the two-dimensional Ising model

q-Deformed Two-Dimensional Yang-Mills Theory and Hecke Algebras

We derive the q-deformation of the chiral Gross-Taylor holomorphic string large N expansion of two dimensional SU (N ) Yang-Mills theory. Delta functions on symmetric group algebras are replaced by the corresponding objects (canonical trace functions) for Hecke algebras. The role of the Schur-Weyl duality between unitary groups and symmetric groups is now played by q-deformed Schur-Weyl duality...

Ising Exponents in the Two-dimensional Site-diluted Ising Model

We study the site-diluted Ising model in two dimensions with Monte Carlo simulations. Using nite-size scaling techniques we compute the critical exponents observing deviations from the pure Ising ones. The diierences can be explained as the eeects of logarithmic corrections, without requiring to change the Universality Class.

/ 9801098 Loops , Surfaces and Grassmann Representation in Two - and Three - Dimensional Ising Models

Starting from the known representation of the partition function of the 2-and 3-D Ising models as an integral over Grassmann variables, we perform a hopping expansion of the corresponding Pfaffian. We show that this expansion is an exact, algebraic representation of the loop-and surface expansions (with intrinsic geometry) of the 2-and 3-D Ising models. Such an algebraic calculus is much simple...

Loops, Surfaces and Grassmann Representation in Two- and Three-Dimensional Ising Models

Starting from the known representation of the partition function of the 2and 3-D Ising models as an integral over Grassmann variables, we perform a hopping expansion of the corresponding Pfaffian. We show that this expansion is an exact, algebraic representation of the loopand surface expansions (with intrinsic geometry) of the 2and 3-D Ising models. Such an algebraic calculus is much simpler t...

Measures for Complexity and the Two-dimensional Ising model