472 research outputs found
BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
The BEC-BCS crossover in QCD at finite baryon and isospin chemical potentials
is investigated in the Nambu--Jona-Lasinio model. The diquark condensation in
two color QCD and the pion condensation in real QCD would undergo a BEC-BCS
crossover when the corresponding chemical potential increases. We determined
the crossover chemical potential as well as the BEC and BCS regions. The
crossover is not triggered by increasing the strength of attractive interaction
among quarks but driven by changing the charge density. The chiral symmetry
restoration at finite temperature and density plays an important role in the
BEC-BCS crossover. For real QCD, strong couplings in diquark and vector meson
channels can induce a diquark BEC-BCS crossover in color superconductor, and in
the BEC region the chromomagnetic instability is fully cured and the ground
state is a uniform phase.Comment: 18 pages, 15 figures. V2: typos corrected, references added. V3:
typos in Appendix B correcte
QED with Dynamical Fermions in an External Magnetic Field
In this paper, we present results of numerical lattice simulations of
two-flavor QED in three space-time dimensions. First, we provide evidence that
chiral symmetry is spontaneously broken in the chiral and continuum limit. Next
we discuss the role of an external magnetic field on the dynamically
generated fermion mass. We investigate the -dependence of the condensate
through calculations with dynamical fermions using the non-compact formulation
of the gauge field, and compare the results with those of a comparable study
using the quenched approximation.Comment: 21 pages, 12 figure
Two-colour QCD at non-zero quark-number density
We have simulated two-colour four-flavour QCD at non-zero chemical potential
for quark number. Simulations were performed on and lattices. Clear evidence was seen for the formation of a colourless diquark
condensate which breaks quark number spontaneously, for . The transition appears to be second order. We have measured the
spectrum of scalar and pseudoscalar bosons which shows clear evidence for the
expected Goldstone boson. Our results are in qualitative agreement with those
from effective Lagrangians for the potential Goldstone excitations of this
theory.Comment: 22 pages RevTeX, 6 figures in 10 postscript file
Spectroscopy, Equation Of State And Monopole Percolation In Lattice QED With Two Flavors
Non-compact lattice QED with two flavors of light dynamical quarks is
simulated on lattices, and the chiral condensate, monopole density and
susceptibility and the meson masses are measured. Data from relatively high
statistics runs at relatively small bare fermion masses of 0.005, 0.01, 0.02
and 0.03 (lattice units) are presented. Three independent methods of data
analysis indicate that the critical point occurs at and that
the monopole condensation and chiral symmetry breaking transitions are
coincident. The monopole condensation data satisfies finite size scaling
hypotheses with critical indices compatible with four dimensional percolation.
The best chiral equation of state fit produces critical exponents
(, ) which deviate significantly from mean
field expectations. Data for the ratio of the sigma to pion masses produces an
estimate of the critical index in good agreement with chiral
condensate measurements. In the strong coupling phase the ratio of the meson
masses are ,
and , while on the weak coupling side of the
transition , ,
indicating the restoration of chiral symmetry.\footnote{\,^{}}{August 1992}Comment: 21 pages, 24 figures (not included
Numerical Portrait of a Relativistic Thin Film BCS Superfluid
We present results of numerical simulations of the 2+1d Nambu - Jona-Lasinio
model with a non-zero baryon chemical potential mu including the effects of a
diquark source term. Diquark condensates, susceptibilities and masses are
measured as functions of source strength j. The results suggest that diquark
condensation does not take place in the high density phase mu>mu_c, but rather
that the condensate scales non-analytically with j implying a line of critical
points and long range phase coherence. Analogies are drawn with the low
temperature phase of the 2d XY model. The spectrum of the spin-1/2 sector is
also studied yielding the quasiparticle dispersion relation. There is no
evidence for a non-zero gap; rather the results are characteristic of a normal
Fermi liquid with Fermi velocity less than that of light. We conclude that the
high density phase of the model describes a relativistic gapless thin film BCS
superfluid.Comment: 37 pages, 16 figure
Thermodynamics of two-colour QCD and the Nambu Jona-Lasinio model
We investigate two-flavour and two-colour QCD at finite temperature and
chemical potential in comparison with a corresponding Nambu and Jona-Lasinio
model. By minimizing the thermodynamic potential of the system, we confirm that
a second order phase transition occurs at a value of the chemical potential
equal to half the mass of the chiral Goldstone mode. For chemical potentials
beyond this value the scalar diquarks undergo Bose condensation and the diquark
condensate is nonzero. We evaluate the behaviour of the chiral condensate, the
diquark condensate, the baryon charge density and the masses of scalar diquark,
antidiquark and pion, as functions of the chemical potential. Very good
agreement is found with lattice QCD (N_c=2) results. We also compare with a
model based on leading-order chiral effective field theory.Comment: 24 pages, 12 figure
The QCD equation of state for two flavours at non-zero chemical potential
We present results of a simulation of 2 flavour QCD on a
lattice using p4-improved staggered fermions with bare quark mass .
Derivatives of the thermodynamic grand canonical partition function
with respect to chemical potentials for
different quark flavours are calculated up to sixth order, enabling estimates
of the pressure and the quark number density as well as the chiral condensate
and various susceptibilities as functions of via Taylor series
expansion. Results are compared to high temperature perturbation theory as well
as a hadron resonance gas model. We also analyze baryon as well as isospin
fluctuations and discuss the relation to the chiral critical point in the QCD
phase diagram. We moreover discuss the dependence of the heavy quark free
energy on the chemical potential.Comment: 4 pages, 7 figures, talk presented at Quark Matter 2005, Budapes
Level Crossing for Hot Sphalerons
We study the spectrum of the Dirac Hamiltonian in the presence of high
temperature sphaleron-like fluctuations of the electroweak gauge and Higgs
fields, relevant for the conditions prevailing in the early universe. The
fluctuations are created by numerical lattice simulations. It is shown that a
change in Chern-Simons number by one unit is accompanied by eigenvalues
crossing zero and a change of sign of the generalized chirality \tGf=
(-1)^{2T+1} \gf which labels these modes. This provides further evidence that
the sphaleron-like configurations observed in lattice simulations may be viewed
as representing continuum configurations.Comment: Latex file, 29 pages + 13 figure
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