"Functional Renormalization provides a bridge from fundamental
microphysical laws to macroscopic complexity and observations. Acting
like a ""theoretical microscope"" with variable resolution, it includes in
a stepwise procedure the fluctuation effects which are responsible for
the emergence of complexity. It describes macroscopic phenomena that are not
directly visible on the microscopic level as order, phase transitions and
spontaneous symmetry breaking , and is flexible enough to accommodate the
change of effective degrees of freedom and associated effective laws. The
laws of Nature become dependent on the length scale.
We propose to develop non-perturbative flow equations into a precision tool
for the understanding of many body physics, that can be tested by experiments
with ultracold atoms.
Fundamental questions as a formulation of quantum gravity as a
non-perturbatively renormalizable quantum field theory, the emergence of
fundamental length scales or the origin of dark energy will be tackled
with this method.
We also will address specific applications as the non-linear growth of
structure in cosmology or the phase diagram of models for strongly
Fields of science
Call for proposal
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