A Short Proof of the Reducibility of Hard-Particle Cluster Integrals

Details A Short Proof of the Reducibility of Hard-Particle Cluster Integrals A Short Proof of the Reducibility of Hard-Particle Cluster Integrals

2011-05-18

arxiv.org/abs/1105.3717v1

Physics

Mathematical Physics

4 pages, 1 figure, revtex4-1

Scientific paper

The current article considers Mayer cluster integrals of n-dimensional hard particles in the n>1 dimensional flat Euclidean space. Extending results from Wertheim and Rosenfeld, we proof that the graphs are completely reducible into 1- and 2-point measures, with algebraic rules similar to Feynman diagrams in quantum field theory. The hard-particle partition function reduces then to a perturbative solvable problem.

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