1,183 research outputs found
Scaling Of Chiral Lagrangians And Landau Fermi Liquid Theory For Dense Hadronic Matter
We discuss the Fermi-liquid properties of hadronic matter derived from a
chiral Lagrangian field theory in which Brown-Rho (BR) scaling is incorporated.
We identify the BR scaling as a contribution to Landau's Fermi liquid
fixed-point quasiparticle parameter from "heavy" isoscalar meson degrees of
freedom that are integrated out from a low-energy effective Lagrangian. We show
that for the vector (convection) current, the result obtained in the chiral
Lagrangian approach agrees precisely with that obtained in the
semi-phenomenological Landau-Migdal approach. This precise agreement allows one
to determine the Landau parameter that enters in the effective nucleon mass in
terms of the constant that characterizes BR scaling. When applied to the weak
axial current, however, these two approaches differ in a subtle way. While the
difference is small numerically, the chiral Lagrangian approach implements
current algebra and low-energy theorems associated with the axial response that
the Landau method misses and hence is expected to be more predictive.Comment: 39 pages, latex with 4 eps figure, modified addresses and reference
The Blandford-Znajek Process as a Centeral Engine for a Gamma Ray Burst
We investigate the possibility that gamma-ray bursts are powered by a central
engine consisting of a black hole with an external magnetic field anchored in a
surrounding disk or torus. The energy source is then the rotation of the black
hole, and it is extracted electromagnetically via a Poynting flux, a mechanism
first proposed by Blandford and Znajek (1997) for AGN. Accounting both for the
maximum rotation energy of the hole and for the efficiency of electromagnetic
extraction, we find that a maximum of 9% of the rest mass of the hole can be
converted to a Poynting flow, i.e. the energy available to produce a gamma-ray
burst is 1.6 X 10^{53}M/M_{sun}erg for a black hole of mass M. We show that the
black holes formed in a variety of gamma-rayburst scenarios probably contain
the required high angular momentum. To extract the energy from a black hole in
the required time \lsim1000s a field of 10^{15}G near the black hole is needed.
We give an example of a disk-plus-field structure that both delivers the
required field and makes the Poynting flux from the hole dominate that ofthe
disk. Thereby we demonstrate that the Poynting energy extracted need not be
dominated by the disk, nor is limited to the binding energy of the disk. This
means that the Blandford-Znajek mechanism remains a very good candidate for
powering gamma-ray bursts.Comment: 43 pages, submitted to Physics Repor
From Kaon-Nuclear Interactions to Kaon Condensation
An effective chiral Lagrangian in heavy-fermion formalism whose parameters
are constrained by kaon-nucleon and kaon-nuclear interactions next to the
leading order in chiral expansion is used to describe kaon condensation in
dense ``neutron star" matter. The critical density is found to be robust with
respect to the parameters of the chiral Lagrangian and comes out to be
. Once kaon condensation sets in, the system is no
longer composed of neutron matter but of nuclear matter. Possible consequences
on stellar collapse with the formation of compact ``nuclear stars" or
light-mass black holes are pointed out.Comment: 20 pages, LaTeX, NORDITA-93/30 N, SUNY-NTG-93-
Quasiparticle spectrum of the hybrid s+g-wave superconductors YNi_2B_2C and LuNi_2B_2C
Recent experiments on single crystals of YNiBC have revealed the
presence of point nodes in the superconducting energy gap Delta(k} at k =
(1,0,0), (0,1,0), (-1,0,0), and (0,-1,0). In this paper we investigate the
effects of impurity scattering on the quasiparticle spectrum in the vortex
state of s+g-wave superconductors, which is found to be strongly modified in
the presence of disorder. In particular, a gap in the quasiparticle energy
spectrum is found to open even for infinitesimal impurity scattering, giving
rise to exponentially activated thermodynamic response functions, such as the
specific heat, the spin susceptibility, the superfluid density, and the nuclear
spin lattice relaxation. Predictions derived from this study can be verified by
measurements of the angular dependent magnetospecific heat and the
magnetothermal conductivity.Comment: 8 pages, RevTex, 4 figure
A Mean Field Theory of the Chiral Phase Transition
The recent discussions by Koci\'c and Kogut on the nature of the chiral phase
transition are reviewed. The mean-field nature of the transition suggested by
these authors is supported in random matrix theory by Verbaarschot and Jackson
which reproduces many aspects of QCD lattice simulations. In this paper, we
point out physical arguments that favor a mean-field transition, not only for
zero density and high temperature, but also for finite density. We show, using
the Gross-Neveu model in 3 spatial dimensions in mean-field approximation, how
the phase transition is constructed. In order to reproduce the lowering of the
, vacuum evaluated in lattice calculations, we introduce
{nucleons} rather than constituent quarks in negative energy states, down to a
momentum cut-off of . We also discuss Brown-Rho scaling of the hadron
masses in relation to the QCD phase transition, and how this scaling affects
the CERES and HELIOS-3 dilepton experiments.Comment: 23 pages, Latex, no figure
Approximating a Behavioural Pseudometric without Discount for<br> Probabilistic Systems
Desharnais, Gupta, Jagadeesan and Panangaden introduced a family of
behavioural pseudometrics for probabilistic transition systems. These
pseudometrics are a quantitative analogue of probabilistic bisimilarity.
Distance zero captures probabilistic bisimilarity. Each pseudometric has a
discount factor, a real number in the interval (0, 1]. The smaller the discount
factor, the more the future is discounted. If the discount factor is one, then
the future is not discounted at all. Desharnais et al. showed that the
behavioural distances can be calculated up to any desired degree of accuracy if
the discount factor is smaller than one. In this paper, we show that the
distances can also be approximated if the future is not discounted. A key
ingredient of our algorithm is Tarski's decision procedure for the first order
theory over real closed fields. By exploiting the Kantorovich-Rubinstein
duality theorem we can restrict to the existential fragment for which more
efficient decision procedures exist
Point-contact spectroscopy of the nickel borocarbide superconductor YNi2B2C in the normal and superconducting state
Point-contact (PC) spectroscopy measurements of YNi2B2C single crystals in
the normal and superconducting (SC) state (T_c=15.4K) for the main
crystallographic directions are reported. The PC study reveals the
electron-phonon interaction (EPI) spectral function with dominant phonon
maximum around 12 meV and further weak structures (hump or kink) at higher
energy at about 50 meV. No "soft" modes below 12 meV are resolved in the normal
state. The PC EPI spectra are qualitatively similar for the different
directions. Contrary, directional study of the SC gap results in
\Delta_[100]=1.5 meV for the a direction and \Delta_[001]=2.3 meV along the c
axis; however the critical temperature T_c in PC in all cases is near to that
in the bulk sample. The value 2\Delta_[001]/kT_c=3.6 is close to the BCS value
of 3.52, and the temperature dependence \Delta_[001](T) is BCS-like, while the
for small gap \Delta_[100](T) is below BCS behavior at T>T_c/2 similarly as in
the two-gap superconductor MgB2. It is supposed that the directional variation
\Delta can be attributed to a multiband nature of the SC state in YNi2B2C.Comment: 9 pages, 10 figures, to be published in a special issue of J. Low
Temp. Phys. in honour of Prof. H. von Loehneyse
Impurity effects on s+g-wave superconductivity in borocarbides Y(Lu)Ni_2B_2C
Recently a hybrid s+g-wave pairing is proposed to describe the experimental
observation for a nodal structure of the superconducting gap in borocarbide
YNiBC and possibly LuNiBC. In this paper the impurity effects
on the s+g-wave superconductivity are studied in both Born and unitarity limit.
The quasiparticle density of states and thermodynamics are calculated. It is
found that the nodal excitations in the clean system are immediately prohibited
by impurity scattering and a finite energy gap increases quickly with the
impurity scattering rate. This leads to an activated behavior in the
temperature dependence of the specific heat. Qualitative agreement with the
experimental results is shown. Comparison with d-wave and some anisotropic
s-wave studied previously is also made.Comment: 6 pages, 6 eps figure
Polarized interacting exciton gas in quantum wells and bulk semiconductors
We develop a theory to calculate exciton binding energies of both two- and
three-dimensional spin polarized exciton gases within a mean field approach.
Our method allows the analysis of recent experiments showing the importance of
the polarization and intensity of the excitation light on the exciton
luminescence of GaAs quantum wells. We study the breaking of the spin
degeneracy observed at high exciton density . Energy
level splitting betwen spin +1 and spin -1 is shown to be due to many-body
inter-excitonic exchange while the spin relaxation time is controlled by
intra-exciton exchange.Comment: Revtex, 4 figures sent by fax upon request by e-mai
Extremal black holes in the Ho\v{r}ava-Lifshitz gravity
We study the near-horizon geometry of extremal black holes in the
Ho\v{r}ava-Lifshitz gravity with a flow parameter . For ,
near-horizon geometry of extremal black holes are AdS with
different radii, depending on the (modified) Ho\v{r}ava-Lifshitz gravity. For
, the radius of is negative, which means
that the near-horizon geometry is ill-defined and the corresponding
Bekenstein-Hawking entropy is zero. We show explicitly that the entropy
function approach does not work for obtaining the Bekenstein-Hawking entropy of
extremal black holes.Comment: 18 pages, v2:some points on Lifshitz black holes claified, v3:
version to appear in EJP
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