504 research outputs found
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 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.
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
Chiral phase transition at high temperature in the QCD-like gauge theory
The chiral phase transition at high temperature is investigated using the
effect ive potential in the framework of the QCD-like gauge theory with a
variational a pproach. We have a second order phase transition at MeV.
We also investigate numerically the temperature dependence of condensate,
a nd (coefficient of the quadratic term in the effective
potential) and es timate the critical exponents of these quantities.Comment: 12 pages,7 figure
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
Diquark condensation effects on hot quark star configurations
The equation of state for quark matter is derived for a nonlocal, chiral
quark model within the mean field approximation.We investigate the effects of a
variation of the formfactors of the interaction on the phase diagram of quark
matter. Special emphasis is on the occurrence of a diquark condensate which
signals a phase transition to color superconductivity and its effects on the
equation of state under the condition of beta- equilibrium and charge
neutrality. We calculate the quark star configurations by solving the Tolman-
Oppenheimer- Volkoff equations and obtain for the transition from a hot, normal
quark matter core of a protoneutron star to a cool diquark condensed one a
release of binding energy of the order of Delta M c^2 ~ 10^{53} erg. We find
that this energy could not serve as an engine for explosive phenomena since the
phase transition is not first order. Contrary to naive expectations the mass
defect increases when for a given temperature we neglect the possibility of
diquark condensation.Comment: 24 pages, 2 tables, 8 figures, references added, figures and text
improve
A rare presentation of atypical demyelination: tumefactive multiple sclerosis causing Gerstmann's syndrome
r. KS has been supported by a Higher Education Funding Council for
England (HEFCE) Clinical Senior Lectureshi
Opportunities for TeV Laser Acceleration
A set of ballpark parameters for laser, plasma, and accelerator technologies
that define for electron energies reaching as high as TeV are identified. These
ballpark parameters are carved out from the fundamental scaling laws that
govern laser acceleration, theoretically suggested and experimentally explored
over a wide range in the recent years. In the density regime on the order of
10^{16} cm^{-3}, the appropriate laser technology, we find, matches well with
that of a highly efficient high fluence LD driven Yb ceramic laser. Further,
the collective acceleration technique applies to compactify the beam stoppage
stage by adopting the beam-plasma wave deceleration, which contributes to
significantly enhance the stopping power and energy recovery capability of the
beam. Thus we find the confluence of the needed laser acceleration parameters
dictated by these scaling laws and the emerging laser technology. This may
herald a new technology in the ultrahigh energy frontier.Comment: 16 pages, 2 figures, 1 table, submitted to AIP Conference Proceeding
Effective potential for composite operators and for an auxiliary scalar field in a Nambu-Jona-Lasinio model
We derive the effective potentials for composite operators in a
Nambu-Jona-Lasinio (NJL) model at zero and finite temperature and show that in
each case they are equivalent to the corresponding effective potentials based
on an auxiliary scalar field. The both effective potentials could lead to the
same possible spontaneous breaking and restoration of symmetries including
chiral symmetry if the momentum cutoff in the loop integrals is large enough,
and can be transformed to each other when the Schwinger-Dyson (SD) equation of
the dynamical fermion mass from the fermion-antifermion vacuum (or thermal)
condensates is used. The results also generally indicate that two effective
potentials with the same single order parameter but rather different
mathematical expressions can still be considered physically equivalent if the
SD equation corresponding to the extreme value conditions of the two potentials
have the same form.Comment: 7 pages, no figur
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