Using a technique based on self-similar random processes, we construct unitary representations of the group of diffeomorphisms of R describing continuum quantum systems with infinitely many degrees of freedom. These can describe systems undergoing a phase change, from rarefied to condensed, at the critical value of a correlation parameter. The method offers promise for generalization to higher spatial dimensions, and for application to theories of extended quantum objects.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics