Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-10-15
J.Math.Phys. 39 (1998) 3670-3677
Physics
High Energy Physics
High Energy Physics - Theory
9 pages revtex with amstex
Scientific paper
10.1063/1.532459
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.
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