2,006 research outputs found
Scaling Distributions of Quarks, Mesons and Proton for all , Energy and Centrality
We present the evidences for the existence of a universal scaling behavior of
the production of at all transverse momenta in heavy-ion collisions at
all centralities and all collision energies. The corresponding scaling behavior
of the quarks is then derived just before the quarks recombine with antiquarks
to form the pions. The degradation effect of the dense medium on the quark
is derived from the scaling distribution. In the recombination model it
is then possible to calculate the distributions of the produced proton
and kaon, which are scaling also. Experimentally verifiable predictions are
made. Implications of the existence of the scaling behavior are discussed.Comment: 10 pages in RevTeX, including 14 figures in eps file
R^2 Corrections for 5D Black Holes and Rings
We study higher-order corrections to two BPS solutions of 5D supergravity,
namely the supersymmetric black ring and the spinning black hole. Due in part
to our current relatively limited understanding of F-type terms in 5D
supergravity, the nature of these corrections is less clear than that of their
4D cousins. Effects of certain terms found in Calabi-Yau compactification
of M-theory are specifically considered. For the case of the black ring, for
which the microscopic origin of the entropy is generally known, the
corresponding higher order macroscopic correction to the entropy is found to
match a microscopic correction, while for the spinning black hole the
corrections are partially matched to those of a 4D black hole.Comment: 9 page
Thermal Instability of Giant Graviton in Matrix Model on PP-wave Background
The thermal instability of the giant graviton is investigated within the BMN
matrix model. We calculate the one-loop thermal correction of the quantum
fluctuation around the trivial vacuum and giant graviton respectively. From the
exact formula of the free energy we see that at low temperature the giant
graviton is unstable and will dissolve into vacuum fluctuation. However, at
sufficient high temperature the trivial vacuum fluctuation will condense to
form the giant graviton configuration. The transition temperature of the giant
graviton is determined in our calculation.Comment: Latex, 8 pages, typos corrected, mention the elliptic deformation of
giant gravito
Effective Potential on Fuzzy Sphere
The effective potential of quantized scalar field on fuzzy sphere is
evaluated to the two-loop level. We see that one-loop potential behaves like
that in the commutative sphere and the Coleman-Weinberg mechanism of the
radiatively symmetry breaking could be also shown in the fuzzy sphere system.
In the two-loop level, we use the heavy-mass approximation and the
high-temperature approximation to perform the evaluations. The results show
that both of the planar and nonplanar Feynman diagrams have inclinations to
restore the symmetry breaking in the tree level. However, the contributions
from planar diagrams will dominate over those from nonplanar diagrams by a
factor N^2. Thus, at heavy-mass limit or high-temperature system the quantum
field on the fuzzy sphere will behave like those on the commutative sphere. We
also see that there is a drastic reduction of the degrees of freedom in the
nonplanar diagrams when the particle wavelength is smaller than the
noncommutativity scale.Comment: Latex 18 pages, some typos correcte
Fuzzy Rings in D6-Branes and Magnetic Field Background
We use the Myers T-dual nonabelin Born-Infeld action to find some new
nontrivial solutions for the branes in the background of D6-branes and Melvin
magnetic tube field. In the D6-Branes background we can find both of the fuzzy
sphere and fuzzy ring solutions, which are formed by the gravitational
dielectric effect. We see that the fuzzy ring solution has less energy then
that of the fuzzy sphere. Therefore the fuzzy sphere will decay to the fuzzy
ring configuration. In the Melvin magnetic tube field background there does not
exist fuzzy sphere while the fuzzy ring configuration may be formed by the
magnetic dielectric effect. The new solution shows that propagating in
the D6-branes and magnetic tube field background may expand into a rotating
fuzzy ring. We also use the Dirac-Born-Infeld action to construct the ring
configuration from the D-branes.Comment: Latex, 15 pages, detailed comments in section 2, typos correcte
Fuzzy Sphere Dynamics and Non-Abelian DBI in Curved Backgrounds
We consider the non-Abelian action for the dynamics of -branes in the
background of -branes, which parameterises a fuzzy sphere using the SU(2)
algebra. We find that the curved background leads to collapsing solutions for
the fuzzy sphere except when we have branes in the background, which
is a realisation of the gravitational Myers effect. Furthermore we find the
equations of motion in the Abelian and non-Abelian theories are identical in
the large limit. By picking a specific ansatz we find that we can
incorporate angular momentum into the action, although this imposes restriction
upon the dimensionality of the background solutions. We also consider the case
of non-Abelian non-BPS branes, and examine the resultant dynamics using
world-volume symmetry transformations. We find that the fuzzy sphere always
collapses but the solutions are sensitive to the combination of the two
conserved charges and we can find expanding solutions with turning points. We
go on to consider the coincident 5-brane background, and again construct
the non-Abelian theory for both BPS and non-BPS branes. In the latter case we
must use symmetry arguments to find additional conserved charges on the
world-volumes to solve the equations of motion. We find that in the Non-BPS
case there is a turning solution for specific regions of the tachyon and radion
fields. Finally we investigate the more general dynamics of fuzzy
in the -brane background, and find collapsing solutions
in all cases.Comment: 49 pages, 3 figures, Latex; Version to appear in JHE
Equilibria of biological aggregations with nonlocal repulsive-attractive interactions
We consider the aggregation equation in , where the interaction potential
incorporates short-range Newtonian repulsion and long-range power-law
attraction. We study the global well-posedness of solutions and investigate
analytically and numerically the equilibrium solutions. We show that there
exist unique equilibria supported on a ball of . By using the
method of moving planes we prove that such equilibria are radially symmetric
and monotone in the radial coordinate. We perform asymptotic studies for the
limiting cases when the exponent of the power-law attraction approaches
infinity and a Newtonian singularity, respectively. Numerical simulations
suggest that equilibria studied here are global attractors for the dynamics of
the aggregation model
Coarse grained approach for volume conserving models
Volume conserving surface (VCS) models without deposition and evaporation, as
well as ideal molecular-beam epitaxy models, are prototypes to study the
symmetries of conserved dynamics. In this work we study two similar VCS models
with conserved noise, which differ from each other by the axial symmetry of
their dynamic hopping rules. We use a coarse-grained approach to analyze the
models and show how to determine the coefficients of their corresponding
continuous stochastic differential equation (SDE) within the same universality
class. The employed method makes use of small translations in a test space
which contains the stationary probability density function (SPDF). In case of
the symmetric model we calculate all the coarse-grained coefficients of the
related conserved Kardar-Parisi-Zhang (KPZ) equation. With respect to the
symmetric model, the asymmetric model adds new terms which have to be analyzed,
first of all the diffusion term, whose coarse-grained coefficient can be
determined by the same method. In contrast to other methods, the used formalism
allows to calculate all coefficients of the SDE theoretically and within limits
numerically. Above all, the used approach connects the coefficients of the SDE
with the SPDF and hence gives them a precise physical meaning.Comment: 11 pages, 2 figures, 2 table
Diagnostic for Dilaton Dark Energy
diagnostic can differentiate between different models of dark energy
without the accurate current value of matter density. We apply this geometric
diagnostic to dilaton dark energy(DDE) model and differentiate DDE model from
LCDM. We also investigate the influence of coupled parameter on the
evolutive behavior of with respect to redshift . According to the
numerical result of , we get the current value of equation of state
=-0.952 which fits the WMAP5+BAO+SN very well.Comment: 6 pages and 6 figures
- âŠ