5,170 research outputs found
New and Old Results in Resultant Theory
Resultants are getting increasingly important in modern theoretical physics:
they appear whenever one deals with non-linear (polynomial) equations, with
non-quadratic forms or with non-Gaussian integrals. Being a subject of more
than three-hundred-year research, resultants are of course rather well studied:
a lot of explicit formulas, beautiful properties and intriguing relationships
are known in this field. We present a brief overview of these results,
including both recent and already classical. Emphasis is made on explicit
formulas for resultants, which could be practically useful in a future physics
research.Comment: 50 pages, 15 figure
Ultraviolet Behavior of the Gluon Propagator in the Maximal Abelian Gauge
The ultraviolet asymptotic behavior of the gluon propagator is evaluated in
the maximal Abelian gauge in the SU(2) gauge theory on the basis of the
renormalization-group improved perturbation theory at the one-loop level.
Square-root singularities obtained in the Euclidean domain are attributed to
artifacts of the one-loop approximation in the maximal Abelian gauge and the
standard normalization condition for the propagator used in our study. It is
argued that this gauge is essentially nonperturbative.Comment: 15 pages, 2 figure
Bulk rheology and microrheology of active fluids
We simulate macroscopic shear experiments in active nematics and compare them
with microrheology simulations where a spherical probe particle is dragged
through an active fluid. In both cases we define an effective viscosity: in the
case of bulk shear simulations this is the ratio between shear stress and shear
rate, whereas in the microrheology case it involves the ratio between the
friction coefficient and the particle size. We show that this effective
viscosity, rather than being solely a property of the active fluid, is affected
by the way chosen to measure it, and strongly depends on details such as the
anchoring conditions at the probe surface and on both the system size and the
size of the probe particle.Comment: 12 pages, 10 figure
Faces of matrix models
Partition functions of eigenvalue matrix models possess a number of very
different descriptions: as matrix integrals, as solutions to linear and
non-linear equations, as tau-functions of integrable hierarchies and as
special-geometry prepotentials, as result of the action of W-operators and of
various recursions on elementary input data, as gluing of certain elementary
building blocks. All this explains the central role of such matrix models in
modern mathematical physics: they provide the basic "special functions" to
express the answers and relations between them, and they serve as a dream model
of what one should try to achieve in any other field.Comment: 10 page
Black Hole Motion in Entropic Reformulation of General Relativity
We consider a system of black holes -- a simplest substitute of a system of
point particles in the mechanics of general relativity -- and try to describe
their motion with the help of entropic action: a sum of the areas of black hole
horizons. We demonstrate that such description is indeed consistent with the
Newton's laws of motion and gravity, modulo numerical coefficients, which
coincide but seem different from unity. Since a large part of the modern
discussion of entropic reformulation of general relativity is actually based on
dimensional considerations, for making a next step it is crucially important to
modify the argument, so that these dimensionless parameters acquire correct
values.Comment: 6 page
Temperature-induced topological phase transition in HgTe quantum wells
We report a direct observation of temperature-induced topological phase
transition between trivial and topological insulator in HgTe quantum well. By
using a gated Hall bar device, we measure and represent Landau levels in fan
charts at different temperatures and we follow the temperature evolution of a
peculiar pair of "zero-mode" Landau levels, which split from the edge of
electron-like and hole-like subbands. Their crossing at critical magnetic field
is a characteristic of inverted band structure in the quantum well. By
measuring the temperature dependence of , we directly extract the critical
temperature , at which the bulk band-gap vanishes and the topological
phase transition occurs. Above this critical temperature, the opening of a
trivial gap is clearly observed.Comment: 5 pages + Supplemental Materials; Phys. Rev. Lett. (accepted
Interplay between lattice, orbital, and magnetic degrees of freedom in the chain-polymer Cu(II) breathing crystals
The chain-polymer Cu(II) breathing crystals C21H19CuF12N4O6 were studied
using the x-ray diffraction and ab initio band structure calculations. We show
that the crystal structure modification at T=146 K, associated with the spin
crossover transition, induces the changes of the orbital order in half of the
Cu sites. This in turn results in the switch of the magnetic interaction sign
in accordance with the Goodenough-Kanamori-Andersen theory of the coupling
between the orbital and spin degrees of freedom.Comment: 6 pages, 7 figure
Optical vector network analysis of ultra-narrow transitions in Er:LiYF
We present optical vector network analysis (OVNA) of an isotopically purified
Er:LiYF crystal. The OVNA method is based on generation
and detection of modulated optical sideband by using a radio-frequency vector
network analyzer. This technique is widely used in the field of microwave
photonics for the characterization of optical responses of optical devices such
as filters and high-Q resonators. However, dense solid-state atomic ensembles
induce a large phase shift on one of the optical sidebands which results in the
appearance of extra features on the measured transmission response. We present
a simple theoretical model which accurately describes the observed spectra and
helps to reconstruct the absorption profile of a solid-state atomic ensemble as
well as corresponding change of the refractive index in the vicinity of atomic
resonances.Comment: 4 pages, 5 figure
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