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Research area:
Statistical Physics and Thermodynamics
Statistical physics covers a host of different things, covering
everything that can be formulated in terms of something analogous to a
Boltzmann distribution, which includes e.g. the critical phenomena in
the thermodynamics of various systems, and the (Euclidean) Path
Integral formulation of various Field Theories.
Here I have been interested in various subjects, like Lattice Gauge
Theory for e.g. Yang Mills fields, Random Surfaces as models for
String models, the thermodynamics of various kinds of polymers.
Presently, I am interested in the transformation of the thermodynamics
of a set of interacting polymers to a field theory, by rewriting the
interactions as quadratic expressions that can be linearized by means
of a (functional) Fourier transform. This allows to integrate out the
original coordinates in favour of a resulting field theory. One
advantage is that the number of identical molecules might be replaced
by a tunable parameter. Typically the resulting theory ivolves complex
fields, and so has to be simulated by means of Complex Langevin
updating.
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