641 research outputs found
Pion Decay Constant at Finite Temperature in the Nonlinear Sigma Model
We calculate the pion decay constant near the critical temperature of the
nonlinear sigma model in the large limit. Making use of the known
low temperature behavior, we construct a Pad\'{e} approximant to obtain the
behavior of at all temperatures.Comment: 8 pages, one latex file and one postscript file (uses psfig).
Uuencode
Cluster of Dipolar Coupled Spins as a Quantum Memory Storage
Spin dynamics of a cluster of coupled spins 1/2 can be manipulated to store
and process a large amount of information. A new type of dynamic response makes
it possible to excite coherent long-living signals, which can be used for
exchanging information with a mesoscopic quantum system. An experimental
demonstration is given for a system of 19 proton spins of a liquid crystal
molecule.Comment: 5 pages, 1 figur
What does the rho-meson do? In-medium mass shift scenarios versus hadronic model calculations
The NA60 experiment has studied low-mass muon pair production in In-In
collisions at with unprecedented precision. With these results
there is hope that the in-medium modifications of the vector meson spectral
function can be constrained more thoroughly than before. We investigate in
particular what can be learned about collisional broadening by a hot and dense
medium and what constrains the experimental results put on in-medium mass shift
scenarios. The data show a clear indication of considerable in-medium
broadening effects but disfavor mass shift scenarios where the -meson
mass scales with the square root of the chiral condensate. Scaling scenarios
which predict at finite density a dropping of the -meson mass that is
stronger than that of the quark condensate are clearly ruled out since they are
also accompanied by a sharpening of the spectral function.Comment: Proceeding contribution, Talk given by J. Ruppert at Workshop for
Young Scientists on the Physics of Ultrarelativistic Nucleus-Nucleus
Collisions (Hot Quarks 2006), Villasimius, Sardinia, Italy, 15-20 May 2006.
To appear in EPJ
Spectroscopy of resonance decays in high-energy heavy-ion collisions
Invariant mass distributions of the hadronic decay products from resonances
formed in relativistic heavy ion collision (RHIC) experiments are investigated
with a view to disentangle the effects of thermal motion and the phase space of
decay products from those of intrinsic changes in the structure of resonances
at the freeze-out conditions. Analytic results of peak mass shifts for the
cases of both equal and unequal mass decay products are derived. The shift is
expressed in terms of the peak mass and width of the vacuum or medium-modified
spectral functions and temperature. Examples of expected shifts in meson (e.g.,
rho, omega, and sigma) and baryon (e.g., Delta) resonances that are helpful to
interpret recent RHIC measurements at BNL are provided. Although significant
downward mass shifts are caused by widened widths of the meson in
medium, a downward shift of at least 50 MeV in its intrinsic mass is required
to account for the reported downward shift of 60-70 MeV in the peak of the
rho-invariant mass distribution. An observed downward shift from the vacuum
peak value of the Delta distinctively signals a significant downward shift in
its intrinsic peak mass, since unlike for the rho-meson, phase space functions
produce an upward shift for the Delta isobar.Comment: published version with slight change of title and some typos
corrected, 12 pages, 5 figure
Langevin Simulation of Thermally Activated Magnetization Reversal in Nanoscale Pillars
Numerical solutions of the Landau-Lifshitz-Gilbert micromagnetic model
incorporating thermal fluctuations and dipole-dipole interactions (calculated
by the Fast Multipole Method) are presented for systems composed of nanoscale
iron pillars of dimension 9 nm x 9 nm x 150 nm. Hysteresis loops generated
under sinusoidally varying fields are obtained, while the coercive field is
estimated to be 1979 14 Oe using linear field sweeps at T=0 K. Thermal
effects are essential to the relaxation of magnetization trapped in a
metastable orientation, such as happens after a rapid reversal of an external
magnetic field less than the coercive value. The distribution of switching
times is compared to a simple analytic theory that describes reversal with
nucleation at the ends of the nanomagnets. Results are also presented for
arrays of nanomagnets oriented perpendicular to a flat substrate. Even at a
separation of 300 nm, where the field from neighboring pillars is only 1
Oe, the interactions have a significant effect on the switching of the magnets.Comment: 19 pages RevTeX, including 12 figures, clarified discussion of
numerical technique
Thermal fluctuations of gauge fields and first order phase transitions in color superconductivity
We study the effects of thermal fluctuations of gluons and the diquark
pairing field on the superconducting-to-normal state phase transition in a
three-flavor color superconductor, using the Ginzburg-Landau free energy. At
high baryon densities, where the system is a type I superconductor, gluonic
fluctuations, which dominate over diquark fluctuations, induce a cubic term in
the Ginzburg-Landau free energy, as well as large corrections to quadratic and
quartic terms of the order parameter. The cubic term leads to a relatively
strong first order transition, in contrast with the very weak first order
transitions in metallic type I superconductors. The strength of the first order
transition decreases with increasing baryon density. In addition gluonic
fluctuations lower the critical temperature of the first order transition. We
derive explicit formulas for the critical temperature and the discontinuity of
the order parameter at the critical point. The validity of the first order
transition obtained in the one-loop approximation is also examined by
estimating the size of the critical region.Comment: 12 pages, 4 figures, final version published in Phys. Rev.
Instanton Contribution to the Pion Electro-Magnetic Formfactor at Q^2 > 1 GeV^2
We study the effects of instantons on the charged pion electro-magnetic
formfactor at intermediate momenta. In the Single Instanton Approximation
(SIA), we predict the pion formfactor in the kinematic region Q^2=2-15 GeV^2.
By developing the calculation in a mixed time-momentum representation, it is
possible to maximally reduce the model dependence and to calculate the
formfactor directly. We find the intriguing result that the SIA calculation
coincides with the vector dominance monopole form, up to surprisingly high
momentum transfer Q^2~10 GeV^2. This suggests that vector dominance for the
pion holds beyond low energy nuclear physics.Comment: 8 pages, 5 figures, minor revision
Fluctuations and Dissipation of Coherent Magnetization
A quantum mechanical model is used to derive a generalized Landau-Lifshitz
equation for a magnetic moment, including fluctuations and dissipation. The
model reproduces the Gilbert-Brown form of the equation in the classical limit.
The magnetic moment is linearly coupled to a reservoir of bosonic degrees of
freedom. Use of generalized coherent states makes the semiclassical limit more
transparent within a path-integral formulation. A general
fluctuation-dissipation theorem is derived. The magnitude of the magnetic
moment also fluctuates beyond the Gaussian approximation. We discuss how the
approximate stochastic description of the thermal field follows from our
result. As an example, we go beyond the linear-response method and show how the
thermal fluctuations become anisotropy-dependent even in the uniaxial case.Comment: 22 page
Learning in large learning spaces:the academic engagement of a diverse group of students
Teaching larger groups of students is a growing phenomenon in HE and this brings with it, its own challenges not least for the students themselves but also their lecturers. Demographic factors as well as the experiences that characterise us as individuals will impact upon our ability to learn. The pilot study reported here considered the “academic engagement” of a diverse group of students where their course is delivered in large learning environments. As a pilot study, the paper concludes with the identification of two areas which are worthy of further research. Firstly, the study highlighted that mature students were more likely to engage in learning strategies that are associated with surface learning – the binary opposite to which practitioners often strive to achieve. Secondly, the research suggests that students who appear to know their tutors well indicate a preference for study approaches that are likely to develop deeper learning
Virtually abelian K\"ahler and projective groups
We characterise the virtually abelian groups which are fundamental groups of
compact K\"ahler manifolds and of smooth projective varieties. We show that a
virtually abelian group is K\"ahler if and only if it is projective. In
particular, this allows to describe the K\"ahler condition for such groups in
terms of integral symplectic representations
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