146 research outputs found
Chiral phase transition at high temperature and density in the QCD-like theory
The chiral phase transition at finite temperature T and/or chemical potential
is studied using the QCD-like theory with a variational approach. The
``QCD-like theory'' means the improved ladder approximation with an infrared
cutoff in terms of a modified running coupling. The form of
Cornwall-Jackiw-Tomboulis effective potential is modified by the use of the
Schwinger-Dyson equation for generally nonzero current quark mass. We then
calculate the effective potential at finite T and/or and investigate the
phase structure in the chiral limit. We have a second-order phase transition at
MeV for and a first-order one at MeV for T=0. A
tricritical point in the T- plane is found at T=107 MeV, MeV.
The position is close to that of the random matrix model and some version of
the Nambu-Jona-Lasinio model.Comment: 10 pages, 6 figures. Accepted for publication in Physical Review
Stability of color-flavor locked strangelets
The stability of color-flavor locked (CFL) strangelets is studied in the
three-flavor Nambu--Jona-Lasinio model. We consider all quark flavors to be
massless, for simplicity. By making use of the multiple reflection expansion,
we explicitly take into account finite size effects and formulate the
thermodynamic potential for CFL strangelets. We find that the CFL gap could be
large enough so that the energy per baryon number of CFL strangelets is greatly
affected. In addition, if the quark-quark coupling constant is larger than a
certain critical value, there is a possibility of finding absolutely stable CFL
strangelets.Comment: 7 pages, 3 figures, to appear in Int. J. Mod. Phys.
Latent heat in the chiral phase transition
The chiral phase transition at finite temperature and density is discussed in
the framework of the QCD-like gauge field theory. The thermodynamical potential
is investigated using a variational approach. Latent heat generated in the
first-order phase transition is calculated. It is found that the latent heat is
enhanced near the tricritical point and is more than several hundred MeV per
quark.Comment: 6 pages, 3 figure
Meissner screening mass in two-flavor quark matter at nonzero temperature
We calculate the Meissner screening mass of gluons 4--7 in two-flavor quark
matter at nonzero temperature. To this end, we study the effective potential of
the 2SC/g2SC phases including a vector condensate . We find
that the Meissner mass becomes real at the critical temperature which is about
the half of the chemical potential mismatch. The phase diagram of the neutral
two-flavor color superconductor is presented in the plane of temperature and
coupling strength. We indicate the unstable region for gluons 4--7 on the phase
diagram.Comment: 4 pages, 3 figures, minor revisions to text, version to appear in PR
Chromomagnetic Instability and Gluonic Phase at Nonzero Temperature
We describe the results of recent studies of a chromomagnetic instability and
a gluonic phase in neutral two-flavor quark matter at nonzero temperature.Comment: 6 pages, 3 figures, prepared for International Workshop on Quantum
Chromodynamics: QCD@Work 2007, Martina Franca, Valle d'Itria, Italy, 16-20
Jun 200
Chromomagnetic instability in two-flavor quark matter at nonzero temperature
We calculate the effective potential of the 2SC/g2SC phases including vector
condensates () and study the gluonic phase and the
single plane-wave Larkin-Ovchinnikov-Fulde-Ferrell state at nonzero
temperature. Our analysis is performed within the framework of the gauged
Nambu--Jona-Lasinio model. We compute potential curvatures with respect to the
vector condensates and investigate the temperature dependence of the Meissner
masses squared of gluons of color 4--7 and 8 in the neutral 2SC/g2SC phases.
The phase diagram is presented in the plane of temperature and coupling
strength. The unstable regions for gluons 4--7 and 8 are mapped out on the
phase diagram. We find that, apart from the case of strong coupling, the
2SC/g2SC phases at low temperatures are unstable against the vector
condensation until the temperature reaches tens of MeV.Comment: 10 pages, 10 figures, revisions to text, published in Phys. Rev.
Universality, the QCD critical/tricritical point and the quark number susceptibility
The quark number susceptibility near the QCD critical end-point (CEP), the
tricritical point (TCP) and the O(4) critical line at finite temperature and
quark chemical potential is investigated. Based on the universality argument
and numerical model calculations we propose a possibility that the hidden
tricritical point strongly affects the critical phenomena around the critical
end-point. We made a semi-quantitative study of the quark number susceptibility
near CEP/TCP for several quark masses on the basis of the
Cornwall-Jackiw-Tomboulis (CJT) potential for QCD in the improved-ladder
approximation. The results show that the susceptibility is enhanced in a wide
region around CEP inside which the critical exponent gradually changes from
that of CEP to that of TCP, indicating a crossover of different universality
classes.Comment: 18 pages, 10 figure
Current quark mass effects on chiral phase transition of QCD in the improved ladder approximation
Current quark mass effects on the chiral phase transition of QCD is studied
in the improved ladder approximation. An infrared behavior of the gluon
propagator is modified in terms of an effective running coupling. The analysis
is based on a composite operator formalism and a variational approach. We use
the Schwinger-Dyson equation to give a ``normalization condition'' for the
Cornwall-Jackiw-Tomboulis effective potential and to isolate the ultraviolet
divergence which appears in an expression for the quark-antiquark condensate.
We study the current quark mass effects on the order parameter at zero
temperature and density. We then calculate the effective potential at finite
temperature and density and investigate the current quark mass effects on the
chiral phase transition. We find a smooth crossover for , and a
first-order phase transition for , T=0. Critical exponents are also
studied and our model gives the classical mean-field values. We also study the
temperature dependence of masses of scalar and pseudoscalar bosons. A critical
end point in the - plane is found at MeV,
MeV.Comment: 19 pages, 13 figure
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