743 research outputs found
Why Color-Flavor Locking is Just like Chiral Symmetry Breaking
We review how a classification into representations of color and flavor can
be used to understand the possible patterns of symmetry breaking for color
superconductivity in dense quark matter. In particular, we show how for three
flavors, color-flavor locking is precisely analogous to the usual pattern of
chiral symmetry breaking in the QCD vacuum.Comment: 9 pages, Proc. of the Judah Eisenberg Memorial Symposium, 'Nuclear
Matter, Hot and Cold', Tel Aviv, April 14 - 16, 199
Gauge invariance of the color-superconducting gap on the mass shell
The gap parameter for color superconductivity is expected to be a gauge
invariant quantity, at least on the appropriate mass shell. Computing the gap
to subleading order in the QCD coupling constant, g, we show that the prefactor
of the exponential in 1/g is gauge dependent off the mass shell, and
independent of gauge on the mass shell.Comment: 8 pages, Proceedings of the Conference on Statistical QCD, Bielefeld,
August 26 - 30, 200
Color superconductivity in cold, dense quark matter
We review what is different and what is similar in a color superconductor as
compared to an ordinary BCS superconductor. The parametric dependence of the
zero-temperature gap on the coupling constant differs in QCD from that in BCS
theory. On the other hand, the transition temperature to the superconducting
phase is related to the zero-temperature gap in the same way in QCD as in BCS
theory.Comment: 11 pages, 1 figure, proceedings of the "Fifth Workshop on QCD",
Villefranche, Jan. 3-7, 200
Aspects of parity, CP, and time reversal violation in hot QCD
We discuss various aspects of parity, CP, and time reversal invariances in
QCD. In particular, we focus attention on the previously proposed possibility
that these experimentally established symmetries of strong interactions may be
broken at finite temperature and/or density. This would have dramatic
signatures in relativistic heavy ion collisions; we describe some of the most
promising signals.Comment: Latex; 14 pages + 3 figs. Talk given at SEWM2000, Marseille, June
14-17 2000 and ISMD2000, Tihany, October 9-15 200
Damping Rate of a Yukawa Fermion at Finite Temperature
The damping of a massless fermion coupled to a massless scalar particle at
finite temperature is considered using the Braaten-Pisarski resummation
technique. First the hard thermal loop diagrams of this theory are extracted
and effective Green's functions are constructed. Using these effective Green's
functions the damping rate of a soft Yukawa fermion is calculated. This rate
provides the most simple example for the damping of a soft particle. To leading
order it is proportional to , whereas the one of a hard fermion is of
higher order.Comment: 5 pages, REVTEX, postscript figures appended, UGI-94-0
Modification of Z Boson Properties in Quark-Gluon Plasma
We calculate the change in the effective mass and width of a Z boson in the
environment of a quark-gluon plasma under the conditions expected in Pb-Pb
collisions at the LHC. The change in width is predicted to be only about 1 MeV
at a temperature of 1 GeV, compared to the natural width of 24907 MeV. The
mass shift is even smaller. Hence no observable effects are to be expected.Comment: 7 pages latex file with 6 embedded PS figure
Debye screening and Meissner effect in a two-flavor color superconductor
I compute the gluon self-energy in a color superconductor with two flavors of
massless quarks, where condensation of Cooper pairs breaks SU(3)_c to SU(2)_c.
At zero temperature, there is neither Debye screening nor a Meissner effect for
the three gluons of the unbroken SU(2)_c subgroup. The remaining five gluons
attain an electric as well as a magnetic mass. For temperatures approaching the
critical temperature for the onset of color superconductivity, or for gluon
momenta much larger than the color-superconducting gap, the self-energy assumes
the form given by the standard hard-dense loop approximation. The gluon
self-energy determines the coefficient of the kinetic term in the effective
low-energy theory for the condensate fields.Comment: 29 pages, RevTe
Numerical solution of the color superconductivity gap in a weak coupling constant
We present the numerical solution of the full gap equation in a weak coupling
constant . It is found that the standard approximations to derive the gap
equation to the leading order of coupling constant are essential for a secure
numerical evaluation of the logarithmic singularity with a small coupling
constant. The approximate integral gap equation with a very small should be
inverted to a soft integral equation to smooth the logarithmic singularity near
the Fermi surface. The full gap equation is solved for a rather large coupling
constant . The approximate and soft integral gap equations are solved
for small values. When their solutions are extrapolated to larger
values, they coincide the full gap equation solution near the Fermi surface.
Furthermore, the analytical solution matches the numerical one up to the order
one O(1). Our results confirm the previous estimates that the gap energy is of
the order tens to 100 MeV for the chemical potential MeV. They
also support the validity of leading approximations applied to the full gap
equation to derive the soft integral gap equation and its analytical solution
near the Fermi surface.Comment: 7 pages+ 6 figs, Stanford, Frankfurt and Bethlehe
QCD and the Chiral Critical Point
As an extension of , consider a theory with ``'' flavors, where the
current quark masses are held in a fixed ratio as the overall scale of the
quark masses is varied. At nonzero temperature and baryon density it is
expected that in the chiral limit the chiral phase transition is of first
order. Increasing the quark mass from zero, the chiral transition becomes more
weakly first order, and can end in a chiral critical point. We show that the
only massless field at the chiral critical point is a sigma meson, with the
universality class that of the Ising model. Present day lattice simulations
indicate that is (relatively) near to the chiral critical point.Comment: 7 pages + 2 figures, BNL-GGP-
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