About topological invariants and statistical mechanics
β Scribed by D. Gandolfo
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 157 KB
- Volume
- 358
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
β¦ Synopsis
A short introduction on topological properties of (regular and random) geometrical sets is presented along with some recent results concerning the behaviour of the Euler-PoincareΔ haracteristic with respect to the (Fortuin-Kasteleyn) random cluster measure.
π SIMILAR VOLUMES
A description of the one-loop approximation formula for the partition function of a three-dimensional abelian version of the Donaldson-Witten theory is proposed. The one-loop expression is shown to contain such topological invariants of a three-dimensional manifold M like the Reidemeister-Ray-Singer
It is shown that equilibrium states of classical systems of point particles are translation invariant whenever they have integrable clustering. Equilibrium states are defined by correlation functions obeying the BBGKY hierarchy. The result holds for two-body forces which may have locally integrable