32,232 research outputs found
Non-analyticities in three-dimensional gauge theories
Quantum fluctuations generate in three-dimensional gauge theories not only
radiative corrections to the Chern-Simons coupling but also non-analytic terms
in the effective action. We review the role of those terms in gauge theories
with massless fermions and Chern-Simons theories. The explicit form of
non-analytic terms turns out to be dependent on the regularization scheme and
in consequence the very existence of phenomena like parity and framing
anomalies becomes regularization dependent. In particular we find
regularization regimes where both anomalies are absent. Due to the presence of
non-analytic terms the effective action becomes not only discontinuous but also
singular for some background gauge fields which include sphalerons. The
appearence of this type of singularities is linked to the existence of nodal
configurations in physical states and tunneling suppression at some classical
field configurations. In the topological field theory the number of physical
states may also become regularization dependent. Another consequence of the
peculiar behaviour of three-dimensional theories under parity odd
regularizations is the existence of a simple mechanism of generation of a mass
gap in pure Yang-Mills theory by a suitable choice of regularization scheme.
The generic value of this mass does agree with the values obtained in
Hamiltonian and numerical analysis. Finally, the existence of different
regularization regimes unveils the difficulties of establishing a Zamolodchikov
c-theorem for three-dimensional field theories in terms of the induced
gravitational Chern-Simons couplings.Comment: 21 pages; Contribution to Ian Kogan Memorial Collection, ``From
Fields to Strings: Circumnavigating Theoretical Physics'
Estimation of the control parameter from symbolic sequences: Unimodal maps with variable critical point
The work described in this paper can be interpreted as an application of the
order patterns of symbolic dynamics when dealing with unimodal maps.
Specifically, it is shown how Gray codes can be used to estimate the
probability distribution functions (PDFs) of the order patterns of parametric
unimodal maps. Furthermore, these PDFs depend on the value of the parameter,
what eventually provides a handle to estimate the parameter value from symbolic
sequences (in form of Gray codes), even when the critical point depends on the
parameter.Comment: 10 pages, 14 figure
Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
The Minimal Lepton Flavour Violation (MLFV) framework is discussed after the
recent indication for CP violation in the leptonic sector. Among the three
distinct versions of MLFV, the one with degenerate right-handed neutrinos will
be disfavoured, if this indication is confirmed. The predictions for leptonic
radiative rare decays and muon conversion in nuclei are analysed, identifying
strategies to disentangle the different MLFV scenarios. The claim that the
present anomalies in the semi-leptonic -meson decays can be explained within
the MLFV context is critically re-examined concluding that such an explanation
is not compatible with the present bounds from purely leptonic processes.Comment: 36 pages, 4 figures. V2: References added; version accepted for
publication on JHE
Thermodynamic modeling of phase separation in manganites
We present a phenomenological model based on the thermodynamics of the phase
separated state of manganites, accounting for its static and dynamic
properties. Through calorimetric measurements on LaPrCaMnO the low temperature free energies of the coexisting
ferromagnetic and charge ordered phases are evaluated. The phase separated
state is modeled by free energy densities uniformly spread over the sample
volume. The calculations contemplate the out of equilibrium features of the
coexisting phase regime, to allow a comparison between magnetic measurements
and the predictions of the model. A phase diagram including the static and
dynamic properties of the system is constructed, showing the existence of
blocked and unblocked regimes which are characteristics of the phase separated
state in manganites.Comment: 7 pages, 5 figures, Submitted to Phys. Rev.
Quantum autoencoders via quantum adders with genetic algorithms
The quantum autoencoder is a recent paradigm in the field of quantum machine
learning, which may enable an enhanced use of resources in quantum
technologies. To this end, quantum neural networks with less nodes in the inner
than in the outer layers were considered. Here, we propose a useful connection
between approximate quantum adders and quantum autoencoders. Specifically, this
link allows us to employ optimized approximate quantum adders, obtained with
genetic algorithms, for the implementation of quantum autoencoders for a
variety of initial states. Furthermore, we can also directly optimize the
quantum autoencoders via genetic algorithms. Our approach opens a different
path for the design of quantum autoencoders in controllable quantum platforms
A Large k Asymptotics of Witten's Invariant of Seifert Manifolds
We calculate a large asymptotic expansion of the exact surgery formula
for Witten's invariant of Seifert manifolds. The contributions of all
flat connections are identified. An agreement with the 1-loop formula is
checked. A contribution of the irreducible connections appears to contain only
a finite number of terms in the asymptotic series. A 2-loop correction to the
contribution of the trivial connection is found to be proportional to Casson's
invariant.Comment: 51 pages (Some changes are made to the Discussion section. A surgery
formula for perturbative corrections to the contribution of the trivial
connection is suggested.
Verification of TG-61 dose for synchrotron-produced monochromatic x-ray beams using fluence-normalized MCNP5 calculations
Ion chamber dosimetry is being used to calibrate dose for cell irradiations
designed to investigate photoactivated Auger electron therapy at the Louisiana
State University CAMD synchrotron facility. This study performed a dosimetry
intercomparison for synchrotron-produced monochromatic x-ray beams at 25 and 35
keV. Ion chamber depth-dose measurements in a PMMA phantom were compared with
the product of MCNP5 Monte Carlo calculations of dose per fluence and measured
incident fluence. Monochromatic beams of 25 and 35 keV were generated on the
tomography beamline at CAMD. A cylindrical, air-equivalent ion chamber was used
to measure the ionization created in a 10x10x10-cm3 PMMA phantom for depths
from 0.6 to 7.7 cm. The American Association of Physicists in Medicine TG-61
protocol was applied to convert measured ionization into dose. Photon fluence
was determined using a NaI detector to make scattering measurements of the beam
from a thin polyethylene target at angles 30 degrees to 60 degrees.
Differential Compton and Rayleigh scattering cross sections obtained from
xraylib, an ANSI C library for x-ray-matter interactions, were applied to
derive the incident fluence. MCNP5 simulations of the irradiation geometry
provided the dose deposition per photon fluence as a function of depth in the
phantom. At 25 keV the fluence-normalized MCNP5 dose overestimated the
ion-chamber measured dose by an average of 7.2+/-3.0% to 2.1+/-3.0% for PMMA
depths from 0.6 to 7.7 cm, respectively. At 35 keV the fluence-normalized MCNP5
dose underestimated the ion-chamber measured dose by an average of 1.0+/-3.4%
to 2.5+/-3.4%, respectively. These results showed that TG-61 ion chamber
dosimetry, used to calibrate dose output for cell irradiations, agreed with
fluence-normalized MCNP5 calculations to within approximately 7% and 3% at 25
and 35 keV, respectively.Comment: 22 pages, 5 figure
Duality in Non-Trivially Compactified Heterotic Strings
We study the implications of duality symmetry on the analyticity properties
of the partition function as it depends upon the compactification length. In
order to obtain non-trivial compactifications, we give a physical prescription
to get the Helmholtz free energy for any heterotic string supersymmetric or
not. After proving that the free energy is always invariant under the duality
transformation and getting the zero temperature
theory whose partition function corresponds to the Helmholtz potential, we show
that the self-dual point is a generic singularity
as the Hagedorn one. The main difference between these two critical
compactification radii is that the term producing the singularity at the
self-dual point is finite for any . We see that this behavior at
actually implies a loss of degrees of freedom below that point.Comment: (Preprint No. FTUAM-92/12) 17 page
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