Strong coupling expansion for Yang-Mills theory at finite temperature
- Euclidean strong coupling expansion of the partition function is applied to lattice Yang-Mills theory
at finite temperature, i.e. for lattices with a compactified temporal direction. The expansions
have a finite radius of convergence and thus are valid only for b <bc, where bc denotes the nearest
singularity of the free energy on the real axis. The accessible temperature range is thus the
confined regime up to the deconfinement transition. We have calculated the first few orders of
these expansions of the free energy density as well as the screening masses for the gauge groups
SU(2) and SU(3). The resulting free energy series can be summed up and corresponds to a glueball
gas of the lowest mass glueballs up to the calculated order. Our result can be used to fix
the lower integration constant for Monte Carlo calculations of the thermodynamic pressure via
the integral method, and shows from first principles that in the confined phase this constant is
indeed exponentially small. Similarly, our results also explain the weak temperature dependence
of glueball screening masses below Tc, as observed in Monte Carlo simulations. Possibilities and
difficulties in extracting bc from the series are discussed.
Exploring the QCD phase diagram
- Lattice simulations employing reweighting and Taylor expansion techniques have predicted a
(m;T)-phase diagram according to general expectations, with an analytic quark-hadron crossover
at m =0 turning into a first order transition at some critical chemical potential mE. By contrast, recent
simulations using imgainary m followed by analytic continuation obtained a critical structure
in the fmu;d;ms;T;mg parameter space favouring the absence of a critical point and first order line.
I review the evidence for the latter scenario, arguing that the various raw data are not inconsistent
with each other. Rather, the discrepancy appears when attempting to extract continuum results
from the coarse (Nt =4) lattices simulated so far, and can be explained by cut-off effects. New (as
yet unpublished) data are presented, which for Nf = 3 and on Nt = 4 confirm the scenario without
a critical point. Moreover, simulations on finer Nt = 6 lattices show that even if there is a critical
point, continuum extrapolation moves it to significantly larger values of mE than anticipated on
Twisted mass QCD at finite temperature
Maria Paola Lombardo
- We discuss the use of Wilson fermions with twisted mass for simulations of QCD thermodynamics.
As a prerequisite for a future analysis of the finite-temperature transition making use
of automatic O(a) improvement, we investigate the phase structure in the space spanned by the
hopping parameter k , the coupling b , and the twisted mass parameter m. We present results for
Nf = 2 degenerate quarks on a 163×8 lattice, for which we investigate the possibility of an Aoki
phase existing at strong coupling and vanishing m, as well as of a thermal phase transition at
moderate gauge couplings and non-vanishing m.
Fermionic fields in the pseudoparticle approach
- The pseudoparticle approach is a numericalmethod to compute path integralswithout discretizing
spacetime. The basic idea is to consider only those field configurations, which can be represented
as a linear superposition of a small number of localized building blocks (pseudoparticles), and to
replace the functional integration by an integration over the pseudoparticle degrees of freedom. In
previous papers we have successfully applied the pseudoparticle approach to SU(2) Yang-Mills
theory. In this work we discuss the inclusion of fermionic fields in the pseudoparticle approach.
To test our method, we compute the phase diagram of the 1+1-dimensional Gross-Neveu model
in the large-N limit as well as the chiral condensate in the crystal phase.
Signals of the QCD Phase Transition in the Heavens
- The modern phase diagram of strongly interacting matter reveals a rich structure at high-densities
due to phase transitions related to the chiral symmetry of quantum chromodynamics (QCD) and
the phenomenon of color superconductivity. These exotic phases have a significant impact on
high-density astrophysics, such as the properties of neutron stars, and the evolution of astrophysical systems as proto-neutron stars, core-collapse supernovae and neutron star mergers. Most recent pulsar mass measurements and constraints on neutron star radii are critically discussed.
Astrophysical signals for exotic matter and phase transitions in high-density matter proposed recently in the literature are outlined. A strong first order phase transition leads to the emergence of a third family of compact stars besides white dwarfs and neutron stars. The different microphysics of quark matter results in an enhanced r-mode stability window for rotating compact stars compared to normal neutron stars. Future telescope and satellite data will be used to extract signals from phase transitions in dense matter in the heavens and will reveal properties of the phases of dense QCD. Spectral line profiles out of x-ray bursts will determine the mass-radius ratio of compact stars. Gravitational wave patterns from collapsing neutron stars or neutron star mergers will even be able to constrain the stiffness of the quark matter equation of state. Future astrophysical data can therefore provide a crucial cross-check to the exploration of the QCD phase diagram with the heavy-ion program of the CBM detector at the FAIR facility.
Status and promise of particle interferometry in heavy-ion collisions
John G. Cramer
Michael A. Lisa
Sandra S. Padula
Bernardo M. Tavares
- After five years of running at RHIC, and on the eve of the LHC heavy-ion program, we highlight the status of femtoscopic measurements. We emphasize the role interferometry plays in addressing fundamental questions about the state of matter created in such collisions, and present an enumerated list of measurements, analyses and calculations that are needed to advance the field in the coming years.
Measuring shear viscosity using correlations
- Measurements of transverse momentum fluctuations can be used to determine the shear viscosity . We use current data to estimate the viscosity-to-entropy ratio in the range from 0.08 to 0.3, and discuss how future measurements can reduce this uncertainty.
Fluctuations in statistical models
Mark I. Gorenstein
- Proceedings of 4th International Workshop "Critical Point and Onset of Deconfinement", July 9-13, 2007, Darmstadt, Germany: The multiplicity fluctuations of hadrons are studied within the statistical hadron-resonance gas model in the large volume limit. The role of quantum statistics and resonance decay effects are discussed. The microscopic correlator method is used to enforce conservation of three charges - baryon number, electric charge, and strangeness - in the canonical ensemble. In addition, in the micro-canonical ensemble energy conservation is included. An analytical method is used to account for resonance decays. The multiplicity distributions and the scaled variances for negatively and positively charged hadrons are calculated for the sets of thermodynamical parameters along the chemical freeze-out line of central Pb+Pb (Au+Au) collisions from SIS to LHC energies. Predictions obtained within different statistical ensembles are compared with the preliminary NA49 experimental results on central Pb+Pb collisions in the SPS energy range. The measured fluctuations are significantly narrower than the Poisson ones and clearly favor expectations for the micro-canonical ensemble. Thus, this is a first observation of the recently predicted suppression of the multiplicity fluctuations in relativistic gases in the thermodynamical limit due to conservation laws.
Effects of nucleus initialization on event-by-event observables
Bernardo Mattos Tavares
- In this work we present a study of the influence of nucleus initializations on the event-by-event elliptic flow coefficient, v2. In most Monte-Carlo models, the initial positions of the nucleons in a nucleus are completely uncorrelated, which can lead to very high density regions. In a simple, yet more realistic model where overlapping of the nucleons is avoided, fluctuations in the initial conditions are reduced. However, v2 distributions are not very sensitive to the initialization choice.
Jahresbericht 2005/06 / Institut für Angewandte Physik, Johann Wolfgang Goethe-Universität, Frankfurt am Main