15,665 research outputs found
Regularization and Renormalization of Chern-Simons Theory
We analyze some features of the perturbative quantization of Chern-Simons
theory (CST) in the Landau gauge. In this gauge the theory is known to be
perturbatively finite. We consider the renormalization scheme in which the
renormalized parameter equals the bare or classical one and show that it
constitutes a natural parametrization for the quantum theory. The reason is
that, although in this renormalization scheme the value of the Green functions
depends on the regularization used, comparison among different regularization
methods shows that the observables (Wilson loops) are the same function of the
shifted monodromy parameter for all BRS invariant regulators used so
far for CST. We also discuss a particular BRS invariant regularization
prescription in which CST is perturbatively defined as the large mass limit of
dimensionally regularized topologically massive Yang-Mills theory. With this
regularization prescription the radiative corrections induced by two-loop
contributions do not entail observable consequences since they can be
reabsorbed by a finite rescaling of the fields only. This very mechanism is
conjectured to take place at higher perturbative orders. Talk presented by G.G.
at the NATO AWR on ``Low dimensional Topology and Quantum Field Theory'', 6-13
September 1992, Cambridge (UK).Comment: 10 pages, Phyzzx, LPTHE 92-4
High-precision determination of the pion-nucleon -term from Roy-Steiner equations
We present a determination of the pion-nucleon () -term
based on the Cheng-Dashen low-energy theorem (LET), taking
advantage of the recent high-precision data from pionic atoms to pin down the
scattering lengths as well as of constraints from analyticity,
unitarity, and crossing symmetry in the form of Roy-Steiner equations to
perform the extrapolation to the Cheng-Dashen point in a reliable manner. With
isospin-violating corrections included both in the scattering lengths and the
LET, we obtain MeV MeV,
where the first error refers to uncertainties in the amplitude and the
second to the LET. Consequences for the scalar nucleon couplings relevant for
the direct detection of dark matter are discussed.Comment: 6 pages, 1 figure; title changed by journal, version to be published
in PR
Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
We match the results for the subthreshold parameters of pion-nucleon
scattering obtained from a solution of Roy-Steiner equations to chiral
perturbation theory up to next-to-next-to-next-to-leading order, to extract the
pertinent low-energy constants including a comprehensive analysis of systematic
uncertainties and correlations. We study the convergence of the chiral series
by investigating the chiral expansion of threshold parameters up to the same
order and discuss the role of the \Delta(1232) resonance in this context.
Results for the low-energy constants are also presented in the counting scheme
usually applied in chiral nuclear effective field theory, where they serve as
crucial input to determine the long-range part of the nucleon-nucleon potential
as well as three-nucleon forces.Comment: 6 pages, 4 tables; version to appear in PR
Extracting the sigma-term from low-energy pion-nucleon scattering
We present an extraction of the pion-nucleon () scattering lengths
from low-energy scattering, by fitting a representation based on
Roy-Steiner equations to the low-energy data base. We show that the resulting
values confirm the scattering-length determination from pionic atoms, and
discuss the stability of the fit results regarding electromagnetic corrections
and experimental normalization uncertainties in detail. Our results provide
further evidence for a large -term, MeV,
in agreement with, albeit less precise than, the determination from pionic
atoms.Comment: 17 pages, 3 figures; journal versio
Extracting the sigma-term from low-energy pion-nucleon scattering
We present an extraction of the pion-nucleon () scattering lengths
from low-energy scattering, by fitting a representation based on
Roy-Steiner equations to the low-energy data base. We show that the resulting
values confirm the scattering-length determination from pionic atoms, and
discuss the stability of the fit results regarding electromagnetic corrections
and experimental normalization uncertainties in detail. Our results provide
further evidence for a large -term, MeV,
in agreement with, albeit less precise than, the determination from pionic
atoms.Comment: 17 pages, 3 figures; journal versio
Numerical study of barriers and valleys in the free-energy landscape of spin glasses
We study the problem of glassy relaxations in the presence of an external
field in the highly controlled context of a spin-glass simulation. We consider
a small spin glass in three dimensions (specifically, a lattice of size L=8,
small enough to be equilibrated through a Parallel Tempering simulations at low
temperatures, deep in the spin glass phase). After equilibrating the sample, an
external field is switched on, and the subsequent dynamics is studied. The
field turns out to reduce the relaxation time, but huge statistical
fluctuations are found when different samples are compared. After taking care
of these fluctuations we find that the expected linear regime is very narrow.
Nevertheless, when regarded as a purely numerical method, we find that the
external field is extremely effective in reducing the relaxation times.Comment: 22 pages, 10 figures; Published versio
The out-equilibrium 2D Ising spin glass: almost, but not quite, a free-field theory
We consider the spatial correlation function of the two-dimensional Ising
spin glass under out-equilibrium conditions. We pay special attention to the
scaling limit reached upon approaching zero temperature. The field-theory of a
non-interacting field makes a surprisingly good job at describing the spatial
shape of the correlation function of the out-equilibrium Edwards-Anderson Ising
model in two dimensions.Comment: 20 pages + 5 Figure
Shift versus no-shift in local regularizations of Chern-Simons theory
We consider a family of local BRS-invariant higher covariant derivative
regularizations of Chern-Simons theory that do not shift the value of
the Chern-Simons parameter to k+\,{\rm sign}(k)\,\cv at one loop.Comment: phyzzx, 6 pages, FTUAM 94/8, NIKHEF-H 94/14 and UPRF 93/39
Effect of Dilution on First Order Transitions: The Three Dimensional Three States Potts Model
We have studied numerically the effect of quenched site dilution on a first
order phase transition in three dimensions. We have simulated the site diluted
three states Potts model studying in detail the second order region of its
phase diagram. We have found that the exponent is compatible with the one
of the three dimensional diluted Ising model whereas the exponent is
definitely different.Comment: RevTex. 6 pages and 6 postscript figure
Potassium chlorate decomposition under high pressure
High pressure physics involves placing various substances under high pressure and observing changes in that substance. In this experiment this high amount of pressure is induced using a diamond anvil cell. A diamond anvil cell uses a metal gasket to hold the sample between two diamonds, which will press on the sample to reach high pressures. High pressures are reached with a moderate amount of force by exerting that force over a small area. Diamonds are used for the compression because of their hardness and ability to resist compression. The pressure being exerted on the sample using a diamond anvil cell is often measured using ruby fluorescence. The behavior of ruby under high pressure is well known so the pressure inside the diamond anvil cell can be determined by observing the ruby fluorescence. Ruby is placed inside the gasket along with the sample so that it is always at the same pressure as the sample. Potassium Chlorate is a chemical that is often used as an oxygen producer and as an explosive when mixed with other chemicals. It decomposes under heat to release oxygen gas, which is the reaction we are trying to induce by placing the chemical under pressure. When molecules heat up they begin to vibrate more rapidly and are more likely to collide with each other. When molecules undergo higher pressures they are also more likely to collide as atoms get closer together. The purpose of this experiment is to determine if pressure can induce the same reaction in Potassium Chlorate as heat
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