2,394 research outputs found
On the functional renormalization group for the scalar field on curved background with non-minimal interaction
The running of the non-minimal parameter (\xi) of the interaction of the real
scalar field and scalar curvature is explored within the non-perturbative
setting of the functional renormalization group (RG). We establish the RG flow
in curved space-time in the scalar field sector, in particular derive an
equation for the non-minimal parameter. The RG trajectory is numerically
explored for different sets of initial data.Comment: LaTeX, 17 pages, 4 Figure
Extent and Type of Retirement Preparation Made by Middle-Aged Women in South Dakota
One purpose of this study was to examine the extent and type of preparation for retirement made by middle-age people, specifically women from 0 through 64 years of age, in South Dakota. These preparations were examined in terms of the several adjustments demands with which retired people are faced in American society. A further purpose of the study was to compare the age, level of education, and marital status of the subjects to their responses to questions dealing with the various aspects of preparation for retirement
Phases of supersymmetric O(N) theories
We perform a global renormalization group study of O(N) symmetric Wess-Zumino
theories and their phases in three euclidean dimensions. At infinite N the
theory is solved exactly. The phases and phase transitions are worked out for
finite and infinite short-distance cutoffs. A distinctive new feature arises at
strong coupling, where the effective superfield potential becomes multi-valued,
signalled by divergences in the fermion-boson interaction. Our findings resolve
the long-standing puzzle about the occurrence of degenerate O(N) symmetric
phases. At finite N, we find a strongly-coupled fixed point in the local
potential approximation and explain its impact on the phase transition. We also
examine the possibility for a supersymmetric Bardeen-Moshe-Bander phenomenon,
and relate our findings with the spontaneous breaking of supersymmetry in other
models.Comment: 23 pages, 18 figure
Tomographic readout of an opto-mechanical interferometer
The quantum state of light changes its nature when being reflected off a
mechanical oscillator due to the latter's susceptibility to radiation pressure.
As a result, a coherent state can transform into a squeezed state and can get
entangled with the motion of the oscillator. The complete tomographic
reconstruction of the state of light requires the ability to readout arbitrary
quadratures. Here we demonstrate such a readout by applying a balanced homodyne
detector to an interferometric position measurement of a thermally excited
high-Q silicon nitride membrane in a Michelson-Sagnac interferometer. A readout
noise of \unit{1.9 \cdot 10^{-16}}{\metre/\sqrt{\hertz}} around the
membrane's fundamental oscillation mode at \unit{133}{\kilo\hertz} has been
achieved, going below the peak value of the standard quantum limit by a factor
of 8.2 (9 dB). The readout noise was entirely dominated by shot noise in a
rather broad frequency range around the mechanical resonance.Comment: 7 pages, 5 figure
Factorization of supersymmetric Hamiltonians in curvilinear coordinates
Planar supersymmetric quantum mechanical systems with separable spectral
problem in curvilinear coordinates are analyzed in full generality. We
explicitly construct the supersymmetric extension of the Euler/Pauli
Hamiltonian describing the motion of a light particle in the field of two heavy
fixed Coulombian centers. We shall also show how the SUSY Kepler/Coulomb
problem arises in two different limits of this problem: either, the two centers
collapse in one center - a problem separable in polar coordinates -, or, one of
the two centers flies to infinity - to meet the Coulomb problem separable in
parabolic coordinates.Comment: 13 pages. Based on the talk presented by M.A. Gonzalez Leon at the
7th International Conference on Quantum Theory and Symmetries (QTS7), August
07-13, 2011, Prague, Czech Republi
Magnetic flux jumps in textured Bi2Sr2CaCu2O(8+d)
Magnetic flux jumps in textured Bi2Sr2CaCu2O(8+d) have been studied by means
of magnetization measurements in the temperature range between 1.95 K and Tc,
in an external magnetic field up to 9 T. Flux jumps were found in the
temperature range 1.95 K - 6 K, with the external magnetic field parallel to
the c axis of the investigated sample. The effect of sample history on magnetic
flux jumping was studied and it was found to be well accounted for by the
available theoretical models. The magnetic field sweep rate strongly influences
the flux jumping and this effect was interpreted in terms of the influence of
both flux creep and the thermal environment of the sample. Strong flux creep
was found in the temperature and magnetic field range where flux jumps occur
suggesting a relationship between the two. The heat exchange conditions between
the sample and the experimental environment also influence the flux jumping
behavior. Both these effects stabilize the sample against flux instabilities,
and this stabilizing effect increases with decreasing magnetic field sweep
rate. Demagnetizing effects are also shown to have a significant influence on
flux jumping.Comment: 10 pages, 6 figures, RevTeX4, submitted to Phys. Rev.
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