29,953 research outputs found
On the Chow ring of certain rational cohomology tori
Let be an abelian cover from a complex algebraic variety
with quotient singularities to an abelian variety. We show that induces
an isomorphism between the rational cohomology rings
and if and only if induces an isomorphism
between the Chow rings with rational coefficients
and
.Comment: 6 page
Quantifying the Chiral Magnetic Effect from Anomalous-Viscous Fluid Dynamics
In this contribution we report a recently developed Anomalous-Viscous Fluid
Dynamics (AVFD) framework, which simulates the evolution of fermion currents in
QGP on top of the bulk expansion from data-validated VISHNU hydrodynamics. With
reasonable estimates of initial conditions and magnetic field lifetime, the
predicted CME signal is quantitatively consistent with change separation
measurements in 200GeV Au-Au collisions at RHIC. We further develop the
event-by-event AVFD simulations that allow direct evaluation of two-particle
correlations arising from CME signal as well as the non-CME backgrounds.
Finally we report predictions from AVFD simulations for the upcoming isobaric
(Ru-Ru v.s. Zr-Zr ) collisions that could provide the critical test of the CME
in heavy ion collisions.Comment: Contribution to the Proceedings of the XXVIth International
Conference on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter
2017), Feb 5-11, Chicago, U.S.A. 4 pages, 6 figure
Functional Renormalization for Chiral and U_A(1) Symmetries at Finite Temperature
We investigated the chiral symmetry and U_A(1) anomaly at finite temperature
by applying the functional renormalization group to the SU(3) linear sigma
model. Expanding the local potential around the classical fields, we derived
the flow equations for the renormalization parameters. In chiral limit, the
flow equation for the chiral condensate is decoupled from the others and can be
analytically solved. The Goldstone theorem is guaranteed in vacuum and at
finite temperature, and the two phase transitions for the chiral and U_A(1)
symmetry restoration happen at the same critical temperature. In general case
with explicit chiral symmetry breaking, the two symmetries are partially and
slowly restored, and the scalar and pseudoscalar meson masses are controlled by
the restoration in the limit of high temperature.Comment: 9 pages, 9figure
On the limit of extreme eigenvalues of large dimensional random quaternion matrices
Since E.P.Wigner (1958) established his famous semicircle law, lots of
attention has been paid by physicists, probabilists and statisticians to study
the asymptotic properties of the largest eigenvalues for random matrices. Bai
and Yin (1988) obtained the necessary and sufficient conditions for the strong
convergence of the extreme eigenvalues of a Wigner matrix. In this paper, we
consider the case of quaternion self-dual Hermitian matrices. We prove the
necessary and sufficient conditions for the strong convergence of extreme
eigenvalues of quaternion self-dual Hermitian matrices corresponding to the
Wigner case.Comment: 16 pages, 5 figure
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