On the evaluation of the improvement parameter in the lattice Hamiltonian approach to critical phenomena

Details On the evaluation of the improvement parameter in the lattice Hamiltonian approach to critical phenomena On the evaluation of the improvement parameter in the lattice Hamiltonian approach to critical phenomena

2002-12-03

arxiv.org/abs/cond-mat/0212051v2

Physics

Condensed Matter

Statistical Mechanics

Conclusions clarified; 26 pages, 6 figures, RevTeX 4

Scientific paper

10.1103/PhysRevE.67.046121

In lattice Hamiltonian systems with a quartic coupling $\gamma$, a critical value $\gamma^*$ may exist such that, when $\gamma=\gamma^*$, the leading irrelevant operator decouples from the Hamiltonian and the leading nonscaling contribution to renormalization-group invariant physical quantities (evaluated in the critical region) vanishes. The 1/N expansion technique is applied to the evaluation of $\gamma^*$ for the lattice Hamiltonian of vector spin models with O(N) symmetry. As a byproduct, systematic asymptotic expansions for the relevant lattice massive one-loop integrals are obtained.

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