Nuclear
Physics Colloquium
Institute for Theoretical Physics, Physics Building, Seminar Room PHYS
2.116
Time: Thursday, February 05, 4:30-5:30 pm (s.t.) (plus
10min for discussion)
Contact: hees@fias.uni-frankfurt.de
On the Search for
Inhomogeneous Phases in Fermionic Models
Felix Karbstein
(Universität Jena)
We
revisit the Gross-Neveu model with $N$ fermion flavors in 1+1 dimensions
and compute its phase diagram at finite temperature and chemical
potential in the large-$N$ limit. To this end, we double the number of
fermion degrees of freedom in a specific way which allows us to detect
inhomogeneous phases in an efficient manner. We show analytically that
this "fermion doubling trick" predicts correctly the position of the
boundary between the chirally symmetric phase and the phase with broken
chiral symmetry. Most importantly, we find that the emergence of an
inhomogeneous ground state is predicted correctly. We critically analyze
our approach based on this trick and discuss its applicability to other
theories, such as fermionic models in higher dimensions, where it may be
used to guide the search for inhomogeneous phases.
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