Linked Cluster Expansions on non-trivial topologies

Abstract

Linked cluster expansions provide a useful tool both for analytical and numerical investigations of lattice field theories. The expansion parameter is the interaction strength fields at neighboured lattice sites are coupled. They result into convergent series for free energies, correlation functions and susceptibilities. The expansions have been generalized to field theories at finite temperature and to a finite volume. Detailed information on critical behaviour can be extracted from the high order behaviour of the susceptibility series. We outline some of the steps by which the 20th order is achieved.

3 pages, Talk presented at LATTICE96(Theoretical Developments)

References in corpus (5)

• High temperature critical O(N) field models by LCE series
• Advanced Linked Cluster Expansion. Scalar Fields at Finite Temperature
• Critical Phenomena with Linked Cluster Expansions in a Finite Volume
• Linked cluster expansions beyond nearest neighbour interactions: convergence and graph classes
• Finite Size Scaling Analysis with Linked Cluster Expansions

Cited by in corpus (2)

• N-vector spin models on the sc and the bcc lattices: a study of the critical behavior of the susceptibility and of the correlation length by high temperature series extended to order beta^{21}
• Renormalized couplings and scaling correction amplitudes in the N-vector spin models on the sc and the bcc lattices