773 research outputs found
Axial symmetry at high temperature in 2-flavor lattice QCD
We investigate the axial symmetry breaking above the critical
temperature in two-flavor lattice QCD. The ensembles are generated with
dynamical M\"obius domain-wall or reweighted overlap fermions. The
susceptibility is extracted from the low-modes spectrum of the overlap Dirac
eigenvalues. We show the quark mass and temperature dependences of
susceptibility. Our results at imply that the
symmetry is restored in the chiral limit. Its coincidence with vanishing
topological susceptibility is observed.Comment: 8 pages, 4 figures, Proceedings of the 35th International Symposium
on Lattice Field Theory, June 18-24, 2017, Granada, Spai
Asymptotic Lattices, Good Labellings, and the Rotation Number for Quantum Integrable Systems
This article introduces the notion of good labellings for asymptotic lattices
in order to study joint spectra of quantum integrable systems from the point of
view of inverse spectral theory. As an application, we consider a new spectral
quantity for a quantum integrable system, the quantum rotation number. In the
case of two degrees of freedom, we obtain a constructive algorithm for the
detection of appropriate labellings for joint eigenvalues, which we use to
prove that, in the semiclassical limit, the quantum rotation number can be
calculated on a joint spectrum in a robust way, and converges to the well-known
classical rotation number. The general results are applied to the semitoric
case where formulas become particularly natural
EL-Shellability and Noncrossing Partitions Associated with Well-Generated Complex Reflection Groups
In this article we prove that the lattice of noncrossing partitions is
EL-shellable when associated with the well-generated complex reflection group
of type , for , or with the exceptional well-generated
complex reflection groups which are no real reflection groups. This result was
previously established for the real reflection groups and it can be extended to
the well-generated complex reflection group of type , for , as well as to three exceptional groups, namely and
, using a braid group argument. We thus conclude that the lattice of
noncrossing partitions of any well-generated complex reflection group is
EL-shellable. Using this result and a construction by Armstrong and Thomas, we
conclude further that the poset of -divisible noncrossing partitions is
EL-shellable for every well-generated complex reflection group. Finally, we
derive results on the M\"obius function of these posets previously conjectured
by Armstrong, Krattenthaler and Tomie.Comment: 37 pages, 4 figures. Moved the technical details of the proof of the
EL-shellability of to the appendix. More references adde
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