3,055 research outputs found
Pion Fluctuations near the QCD Critical Point
A critical point of second order, belonging to the universality class of the
3d Ising model, has recently been advocated as a strong candidate for the
critical behaviour (at high temperatures) of QCD with non-zero quark masses.
The implications of this conjecture are investigated in the multiparticle
environment of high-energy collisions. A universal intermittency pattern of
pion-density fluctuations is found, at the critical point, and its association
to the critical exponents is discussed. A Monte Carlo simulation of critical
events, in heavy-ion collisions, reveals the detailed structure of these
fluctuations, suggesting a framework of (event-by-event) measurements in which
the critical theory of QCD may become falsifiable.Comment: 8 pages, 3 figures (ps
Critical Fluctuations at RHIC
On the basis of universal scaling properties, we claim that in Au+Au
collisions at RHIC, the QCD critical point is within reach. The signal turns
out to be an extended plateau of net baryons in rapidity with approximate
height of the net-baryon rapidity density approximately 15 and a strong
intermittency pattern with index s_2=1/6 in rapidity fluctuations. A window
also exists, to reach the critical point at the SPS, especially in Si+Si
collisions at maximal energy.Comment: 8 pages, 3 figure
The resonance spectrum of the cusp map in the space of analytic functions
We prove that the Frobenius--Perron operator of the cusp map
, (which is an approximation of the
Poincar\'e section of the Lorenz attractor) has no analytic eigenfunctions
corresponding to eigenvalues different from 0 and 1. We also prove that for any
the spectrum of in the Hardy space in the disk
\{z\in\C:|z-q|<1+q\} is the union of the segment and some finite or
countably infinite set of isolated eigenvalues of finite multiplicity.Comment: Submitted to JMP; The description of the spectrum in some Hardy
spaces is adde
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