Critical exponents for the Reggeon quantum spin model

Critical exponents of the Heisenberg spin chain.

Critical exponents of a three-dimensional O(4) spin model.

By Monte Carlo simulation we study the critical exponents governing the transition of the three-dimensional classical O(4) Heisenberg model, which is considered to be in the same universality class as the finite-temperature QCD with massless two flavors. We use the single cluster algorithm and the histogram reweighting technique to obtain observables at the critical temperature. After estimatin...

Critical exponents for the FPL 2 model

Starting from the Bethe ansatz solution we derive a set of coupled non-linear integral equations for the fully packed double loop model (FPL) on the square lattice. As an application we find exact expressions for the central charge and for the scaling dimension corresponding to the simplest charge excitation. We study numerically the low-lying excitations corresponding to more general perturbat...

Exact Critical Exponents of the Staircase Model

The staircase model is a recently discovered [5] one-parameter family of integrable two-dimensional continuum field theories. We analyze the novel critical behavior of this model, seen as a perturbation of a minimal conformal theory Mp: the leading thermodynamic singularities are simultaneously governed by all fixed points Mp,Mp−1, . . . ,M3. The exponents of the magnetic susceptibility and the...

Critical Exponents for the SC-Model in the Zero Sector

In this paper, we continue our investigation of a one-dimensional, twocomponent, quantum many-body system in which like particles interact with a pair potential s(s + 1)/sinh(r), while unlike particles interact with a pair potential −s(s + 1)/cosh(r). For an equal number of particles of the two components, the ground state for s > 0 corresponds to an antiferromagnet/insulator. Excitations consi...