- Statistical field theory
A

**statistical field theory**is any model instatistical mechanics where the degrees of freedom comprise a field or fields. In other words, the microstates of the system are expressed through field configurations. It is closely related toquantum field theory , which describes thequantum mechanics of fields, and shares with it many phenomena, such asrenormalization .If the system involves polymers, it is also known aspolymer field theory .In fact, by performing a

Wick rotation fromMinkowski space toEuclidean space , many results of statistical field theory can be applied directly to its quantum equivalent. The correlation functions of a statistical field theory are calledSchwinger function s, and their properties are described by theOsterwalder–Schrader axioms .Statistical field theories are widely used to describe systems in

polymer physics orbiophysics , such aspolymer films, nanostructured blockcopolymers [*cite journal | author= Baeurle SA, Usami T, Gusev AA | title= A new multiscale modeling approach for the prediction of mechanical properties of*] orpolymer-based nanomaterials | journal=Polymer | year=2006 | volume=47 | pages=8604–8617 | doi=10.1016/j.polymer.2006.10.017polyelectrolyte s [*cite journal | author= Baeurle SA, Nogovitsin EA | title= Challenging scaling laws of flexible polyelectrolyte solutions with effective renormalization concepts | journal=Polymer | year=2007 | volume=48 | pages=4883–4899 | doi=10.1016/j.polymer.2007.05.080*] .**References***"Statistical Field Theory" volumes I and II (Cambridge Monographs on Mathematical Physics) by Claude Itzykson, Jean-Michel Drouffe, Publisher: Cambridge University Press; (March 29, 1991) ISBN 0-521-40806-7 ISBN 0-521-40805-9

*" The P(φ)_{2}Euclidean (quantum) field theory. " by Barry Simon. Princeton Univ Press (June 1974) ISBN 0-691-08144-1

*"Quantum Physics: A Functional Integral Point of View" by James Glimm, Jaffe. Springer; 2nd edition (May 1987) ISBN 0-387-96477-0**External links*** [

*http://www.gursey.gov.tr/~mgh/rg2006/problemsets.html Problems in Statistical Field Theory*]

* [*http://www-dick.chemie.uni-regensburg.de/group/stephan_baeurle/ Particle and Polymer Field Theory Group*]

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