21,813 research outputs found
Dynamic universality class of the QCD critical point
We show that the dynamic universality class of the QCD critical point is that
of model H and discuss the dynamic critical exponents. We show that the baryon
diffusion rate vanishes at the critical point. The dynamic critical index
is close to 3.Comment: 12 pages. To be published in PRD. Appendix about isospin density
added, introduction expande
D-outcome measurement for a nonlocality test
For the purpose of the nonlocality test, we propose a general correlation
observable of two parties by utilizing local -outcome measurements with
SU() transformations and classical communications. Generic symmetries of the
SU() transformations and correlation observables are found for the test of
nonlocality. It is shown that these symmetries dramatically reduce the number
of numerical variables, which is important for numerical analysis of
nonlocality. A linear combination of the correlation observables, which is
reduced to the Clauser-Horne-Shimony-Holt (CHSH) Bell's inequality for two
outcome measurements, is led to the Collins-Gisin-Linden-Massar-Popescu (CGLMP)
nonlocality test for -outcome measurement. As a system to be tested for its
nonlocality, we investigate a continuous-variable (CV) entangled state with
measurement outcomes. It allows the comparison of nonlocality based on
different numbers of measurement outcomes on one physical system. In our
example of the CV state, we find that a pure entangled state of any degree
violates Bell's inequality for measurement outcomes when the
observables are of SU() transformations.Comment: 16 pages, 2 figure
Effective Field Theory of Relativistic Quantum Hall Systems
Motivated by the observation of the fractional quantum Hall effect in
graphene, we consider the effective field theory of relativistic quantum Hall
states. We find that, beside the Chern-Simons term, the effective action also
contains a term of topological nature, which couples the electromagnetic field
with a topologically conserved current of dimensional relativistic fluid.
In contrast to the Chern-Simons term, the new term involves the spacetime
metric in a nontrivial way. We extract the predictions of the effective theory
for linear electromagnetic and gravitational responses. For fractional quantum
Hall states at the zeroth Landau level, additional holomorphic constraints
allow one to express the results in terms of two dimensionless constants of
topological nature.Comment: 4 page
The Euler current and relativistic parity odd transport
For a spacetime of odd dimensions endowed with a unit vector field, we
introduce a new topological current that is identically conserved and whose
charge is equal to the Euler character of the even dimensional spacelike
foliations. The existence of this current allows us to introduce new
Chern-Simons-type terms in the effective field theories describing relativistic
quantum Hall states and (2+1) dimensional superfluids. Using effective field
theory, we calculate various correlation functions and identify transport
coefficients. In the quantum Hall case, this current provides the natural
relativistic generalization of the Wen-Zee term, required to characterize the
shift and Hall viscosity in quantum Hall systems. For the superfluid case this
term is required to have nonzero Hall viscosity and to describe superfluids
with non s-wave pairing.Comment: 24 pages. v2: added citations, corrected minor typos in appendi
- …