853 research outputs found
QCD phase diagram for small densities from simulations at imaginary mu
We present results on the QCD phase diagram for small densities without
reweighting. Our simulations are performed with an imaginary chemical potential
mu_I for which the fermion determinant is positive. On an 8^3x4 lattice with 2
flavors of staggered quarks, we map out the pseudo-critical temperature
T_c(mu_I). For mu_I/T < pi/3, this is an analytic function whose Taylor
expansion converges rapidly, with truncation errors smaller than statistical
ones. The result is analytically continued to give the location of the
pseudo-critical line for real mu_B<500 MeV.Comment: Lattice2002(nonzerot), 3 pp, 5 figure
Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
We present unambiguous evidence from lattice simulations of QCD with three
degenerate quark species for two tricritical points in the (T,m) phase diagram
at fixed imaginary \mu/T=i\pi/3 mod 2\pi/3, one in the light and one in the
heavy mass regime. These represent the boundaries of the chiral and
deconfinement critical lines continued to imaginary chemical potential,
respectively. It is demonstrated that the shape of the deconfinement critical
line for real chemical potentials is dictated by tricritical scaling and
implies the weakening of the deconfinement transition with real chemical
potential. The generalization to non-degenerate and light quark masses is
discussed.Comment: 4 pages, 5 figure
Mapping the phase diagram of strongly interacting matter
We employ a conformal mapping to explore the thermodynamics of strongly
interacting matter at finite values of the baryon chemical potential .
This method allows us to identify the singularity corresponding to the critical
point of a second-order phase transition at finite , given information
only at . The scheme is potentially useful for computing thermodynamic
properties of strongly interacting hot and dense matter in lattice gauge
theory. The technique is illustrated by an application to a chiral effective
model.Comment: 5 pages, 3 figures; published versio
The Quantum Effective Action, Wave Functions and Yang-Mills (2+1)
We explore the relationship between the quantum effective action and the
ground state (and excited state) wave functions of a field theory. Applied to
the Yang-Mills theory in 2+1 dimensions, we find the leading terms of the
effective action from the ground state wave function previously obtained in the
Hamiltonian formalism by solving the Schrodinger equation.Comment: 16 pages, expanded discussion section, added references, version
accepted for Phys. Rev.
WIMP Dark Matter and the QCD Equation of State
Weakly Interacting Massive Particles (WIMPs) of mass m freeze out at a
temperature T_f ~ m/25, i.e. in the range 400 MeV -- 40 GeV for a particle in
the typical mass range 10 -- 1000 GeV. The WIMP relic density, which depends on
the effective number of relativistic degrees of freedom at T_f, may be measured
to better than 1% by Planck, warranting comparable theoretical precision.
Recent theoretical and experimental advances in the understanding of high
temperature QCD show that the quark gluon plasma departs significantly from
ideal behaviour up to temperatures of several GeV, necessitating an improvement
of the cosmological equation of state over those currently used. We discuss how
this increases the relic density by approximately 1.5 -- 3.5% in benchmark
mSUGRA models, with an uncertainly in the QCD corrections of 0.5 -- 1 %. We
point out what further work is required to achieve a theoretical accuracy
comparable with the expected observational precision, and speculate that the
effective number of degrees of freedom at T_f may become measurable in the
foreseeable future.Comment: 4pp, 2figs. More info including Matlab scripts used to generate
equation of state curves at
http://www.pact.cpes.sussex.ac.uk/arXiv/hep-ph/0501232
Towards a controlled study of the QCD critical point
The phase diagram of QCD, as a function of temperature T and quark chemical
potential mu, may contain a critical point (mu_E,T_E) whose non-perturbative
nature makes it a natural object of lattice studies. However, the sign problem
prevents the application of standard Monte Carlo techniques at non-zero baryon
density. We have been pursuing an approach free of the sign problem, where the
chemical potential is taken as imaginary and the results are Taylor-expanded in
mu/T about mu=0, then analytically continued to real mu.
Within this approach we have determined the sensitivity of the critical
chemical potential mu_E to the quark mass, d(\mu_E)^2/dm_q|_{\mu_E=0}. Our
study indicates that the critical point moves to {\em smaller} chemical
potential as the quark mass {\em increases}. This finding, contrary to common
wisdom, implies that the deconfinement crossover, which takes place in QCD at
mu=0 when the temperature is raised, will remain a crossover in the mu-region
where our Taylor expansion can be trusted. If this result, obtained on a coarse
lattice, is confirmed by simulations on finer lattices now in progress, then we
predict that no {\em chiral} critical point will be found for mu_B \lesssim 500
MeV, unless the phase diagram contains additional transitions.Comment: 4 pages, 6 figures, proceedings of Quark Matter 2008, Jaipur (India),
Feb. 2008, to appear in J. Phys.
Speech Codes Theory
Rooted in the ethnography of communication and based on empirical research, speech codes theory is a theoretical/methodological tool for studying situated communication practices. Two important applications of speech codes theory are to reveal local cultures and to examine the ways in which people make use of communication to accomplish important goals pertaining to communal life. Speech codes theory offers researchers a systematic approach to describing, interpreting, analyzing, and comparing local communicative practices and the cultures which they instantiate
The confining string and its breaking in QCD
We point out that the world sheet swept by the confining string in presence
of dynamical quarks can belong to two different phases, depending on the number
of charge species and the quark masses. When it lies in the normal phase (as
opposed to the tearing one) the string breaking is invisible in the Wilson
loop, while is manifest in operators composed of disjoint sources, as observed
in many numerical experiments. We work out an explicit formula for the
correlator of Polyakov loops at finite temperature, which is then compared with
recent lattice data, both in the quenched case and in presence of dynamical
quarks. The analysis in the quenched case shows that the free bosonic string
model describes accurately the data for distances larger than ~ 0.75 fm. In the
unquenched case we derive predictions on the dependence of the static potential
on the temperature which are compatible with the lattice data.Comment: 15 pages, LaTeX with 4 eps figures (included
Model analysis of thermal UV-cutoff effects on the chiral critical surface at finite temperature and chemical potential
We study the effects of temporal UV-cutoff on the chiral critical surface in
hot and dense QCD using a chiral effective model. Recent lattice QCD
simulations indicate that the curvature of the critical surface might change
toward the direction in which the first order phase transition becomes stronger
on increasing the number of lattice sites. To investigate this effect on the
critical surface in an effective model approach, we use the Nambu-Jona-Lasinio
model with finite Matsubara frequency summation. We find that qualitative
feature of the critical surface does not alter appreciably as we decrease the
summation number, which is unlike the case what is observed in the recent
lattice QCD studies. This may either suggest the dependence of chemical
potential on the coupling strength or due to some additional interacting terms
such as vector interactions which could play an important role at finite
density.Comment: 7 pages, 8 figure
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