Lattice Approximation of Quantum Statistical Traces at a Complex Temperature
High Energy Physics - Theory
2009-10-30 v1 funct-an
Functional Analysis
Abstract
We prove that the simple condition on the potential V, \int exp(-t V) < \infty for all t>0, is sufficient for the lattice approximation of the trace Tr[A exp(-b H)] with (Re b)>0 to work for all bounded functions A and a large class of potentials. As a by-product we obtain an explicit bound for the real-temperature lattice kernels.
Cite
@article{arxiv.hep-th/9710117,
title = {Lattice Approximation of Quantum Statistical Traces at a Complex Temperature},
author = {Jani Lukkarinen},
journal= {arXiv preprint arXiv:hep-th/9710117},
year = {2009}
}
Comments
9 pages revtex with amstex