738 research outputs found
Dimensional reduction and the phase diagram of 5d Yang-Mills theory
We present a non-perturbative study of the phase diagram of 5d SU(2)
Yang-Mills theory with one compact extra dimension on the lattice. Assuming at
least a modest scale separation between the cutoff and the compactification
scales leads to an exponential separation between the compactification scale
and the four-dimensional correlation length. While we demonstrate that it is
not possible to take a full five-dimensional continuum limit, this dynamical
generation of scale hierarchy opens up the possibility for us to make limited,
but non-perturbative, predictions about continuum theories whose low-energy
sector is described by an effective 5d Yang-Mills theory.Comment: 7 pages. Presented at the XXVII International Symposium on Lattice
Field Theory, July 26-31, 2009, Peking University, Beijing, Chin
The lowest modes around Gaussian solutions of tensor models and the general relativity
In the previous paper, the number distribution of the low-lying spectra
around Gaussian solutions representing various dimensional fuzzy tori of a
tensor model was numerically shown to be in accordance with the general
relativity on tori. In this paper, I perform more detailed numerical analysis
of the properties of the modes for two-dimensional fuzzy tori, and obtain
conclusive evidences for the agreement. Under a proposed correspondence between
the rank-three tensor in tensor models and the metric tensor in the general
relativity, conclusive agreement is obtained between the profiles of the
low-lying modes in a tensor model and the metric modes transverse to the
general coordinate transformation. Moreover, the low-lying modes are shown to
be well on a massless trajectory with quartic momentum dependence in the tensor
model. This is in agreement with that the lowest momentum dependence of metric
fluctuations in the general relativity will come from the R^2-term, since the
R-term is topological in two dimensions. These evidences support the idea that
the low-lying low-momentum dynamics around the Gaussian solutions of tensor
models is described by the general relativity. I also propose a renormalization
procedure for tensor models. A classical application of the procedure makes the
patterns of the low-lying spectra drastically clearer, and suggests also the
existence of massive trajectories.Comment: 31 pages, 8 figures, Added references, minor corrections, a
misleading figure replace
Separation of Cultivars of Soybeans by Chemometric Methods Using Near Infrared Spectroscopy.
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Nonlocal regularisation of noncommutative field theories
We study noncommutative field theories, which are inherently nonlocal, using
a Poincar\'e-invariant regularisation scheme which yields an effective,
nonlocal theory for energies below a cut-off scale. After discussing the
general features and the peculiar advantages of this regularisation scheme for
theories defined in noncommutative spaces, we focus our attention onto the
particular case when the noncommutativity parameter is inversely proportional
to the square of the cut-off, via a dimensionless parameter . We work out
the perturbative corrections at one-loop order for a scalar theory with quartic
interactions, where the signature of noncommutativity appears in
-dependent terms. The implications of this approach, which avoids the
problems related to UV-IR mixing, are discussed from the perspective of the
Wilson renormalisation program. Finally, we remark about the generality of the
method, arguing that it may lead to phenomenologically relevant predictions,
when applied to realistic field theories.Comment: 1+11 pages, 6 figures; v2: references added, typos corrected,
conclusions unchange
Shear and bulk viscosities for pure glue matter
Shear and bulk viscosities are calculated in a quasiparticle
model within a relaxation time approximation for pure gluon matter. Below
the confined sector is described within a quasiparticle glueball model.
Particular attention is paid to behavior of the shear and bulk viscosities near
. The constructed equation of state reproduces the first-order phase
transition for the glue matter. It is shown that with this equation of state it
is possible to describe the temperature dependence of the shear viscosity to
entropy ratio and the bulk viscosity to entropy ratio in
reasonable agreement with available lattice data but absolute values of the
ratio underestimate the upper limits of this ratio in the lattice
measurements typically by an order of magnitude.Comment: 8 pages, 4 figures; the published versio
On the linear increase of the flux tube thickness near the deconfinement transition
We study the flux tube thickness of a generic Lattice Gauge Theory near the
deconfining phase transition. It is well known that the effective string model
predicts a logarithmic increase of the flux tube thickness as a function of the
interquark distance for any confining LGT at zero temperature. It is perhaps
less known that this same model predicts a linear increase in the vicinity of
the deconfinement transition. We present a precise derivation of this result
and compare it with a set of high precision simulations in the case of the 3d
gauge Ising model.Comment: 20 pages, 4 figures, minor changes. Accepted for publication in JHE
Lithium and proton conducting gel-type membranes
We review the characteristics and the properties of various types of gel-type, ionically conducting membranes. We have mainly investigated two classes of membranes, one characterized by lithium ion transport and the other characterized by proton conductivity. We show that the former membranes are suitable to be used as separators in advanced lithium ion plastic batteries and that the latter show good promises to be considered as alternative, new separators in polymer electrolyte fuel cells. © 2003 Elsevier B.V. All rights reserved
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