949 research outputs found
The Kramers equation simulation algorithm II. An application to the Gross-Neveu model
We continue the investigation on the applications of the Kramers equation to
the numerical simulation of field theoretic models. In a previous paper we have
described the theory and proposed various algorithms. Here, we compare the
simplest of them with the Hybrid Monte Carlo algorithm studying the
two-dimensional lattice Gross-Neveu model. We used a Symanzik improved action
with dynamical Wilson fermions. Both the algorithms allow for the determination
of the critical mass. Their performances in the definite phase simulations are
comparable with the Hybrid Monte Carlo. For the two methods, the numerical
values of the measured quantities agree within the errors and are compatible
with the theoretical predictions; moreover, the Kramers algorithm is safer from
the point of view of the numerical precision.Comment: 20 pages + 1 PostScript figure not included, REVTeX 3.0, IFUP-TH-2
Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
Radiative corrections arising from the axial coupling of charged fermions to
a constant vector b_\mu can induce a Lorentz- and CPT-violating Chern-Simons
term in the QED action. We calculate the exact one-loop correction to this term
keeping the full b_\mu dependence, and show that in the physically interesting
cases it coincides with the lowest-order result. The effect of regularization
and renormalization and the implications of the result are briefly discussed.Comment: LaTex, 8 pages; minor correction
Evaluating Summer Flounder Spatial Sex-Segregation in a Southern New England Estuary
Marine fish species can exhibit sex-specific differences in their biological traits. Not accounting for these characteristics in the stock assessment or management of a species can lead to misunderstanding its population dynamics and result in ineffective regulatory strategies. Summer Flounder Paralichthys dentatus, a flatfish that supports significant commercial and recreational fisheries along the northeastern U.S. shelf, expresses variation in several traits between the sexes, including growth and habitat preference. To further understand these patterns, 1,302 Summer Flounder were collected and sexed in 2016 and 2017 from fisheries-independent surveys conducted in Rhode Island state waters. Female flounder were more prevalent in shallow waters (15 m) from May through September. The probability of a collected flounder being female was evaluated with generalized linear models and covariates representing depth, temperature, month, year, and TL. Summer Flounder were more likely to be female at larger sizes, in shallower waters, and late in the season. When compared with landings data in the recreational fishery over the sampling period, the results suggest that nearly all flounder harvested in the sector were female. This work provides further evidence for and characterization of Summer Flounder sex-segregation and highlights, for management purposes, the importance of considering fine-scale spatial dynamics in addition to broader distribution patterns. The fitted model represents an effective first step toward understanding the implications of an aggregated fishing effort for disproportionate removals of male or female flounder and for exploring resulting consequences for regional spawning stock biomass and stock resiliency
Local Casimir Energy For Solitons
Direct calculation of the one-loop contributions to the energy density of
bosonic and supersymmetric phi-to-the-fourth kinks exhibits: (1) Local mode
regularization. Requiring the mode density in the kink and the trivial sectors
to be equal at each point in space yields the anomalous part of the energy
density. (2) Phase space factorization. A striking position-momentum
factorization for reflectionless potentials gives the non-anomalous energy
density a simple relation to that for the bound state. For the supersymmetric
kink, our expression for the energy density (both the anomalous and
non-anomalous parts) agrees with the published central charge density, whose
anomalous part we also compute directly by point-splitting regularization.
Finally we show that, for a scalar field with arbitrary scalar background
potential in one space dimension, point-splitting regularization implies local
mode regularization of the Casimir energy density.Comment: 18 pages. Numerous new clarifications and additions, of which the
most important may be the direct derivation of local mode regularization from
point-splitting regularization for the bosonic kink in 1+1 dimension
Inhibition of EZH2 Ameliorates LupusĂą Like Disease in MRL/lpr Mice
Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/151823/1/art40931_am.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/151823/2/art40931.pd
Three-dimensional N=4 supersymmetry in harmonic N=3 superspace
We consider the map of three-dimensional N=4 superfields to N=3 harmonic
superspace. The left and right representations of the N=4 superconformal group
are constructed on N=3 analytic superfields. These representations are
convenient for the description of N=4 superconformal couplings of the Abelian
gauge superfields with hypermultiplets. We analyze the N=4 invariance in the
non-Abelian N=3 Yang-Mills theory.Comment: Latex file, 22 pages; v2 two references adde
The coupling of fermions to the three-dimensional noncommutative model: minimal and supersymmetric extensions
We consider the coupling of fermions to the three-dimensional noncommutative
model. In the case of minimal coupling, although the infrared
behavior of the gauge sector is improved, there are dangerous (quadratic)
infrared divergences in the corrections to the two point vertex function of the
scalar field. However, using superfield techniques we prove that the
supersymmetric version of this model with ``antisymmetrized'' coupling of the
Lagrange multiplier field is renormalizable up to the first order in
. The auxiliary spinor gauge field acquires a nontrivial
(nonlocal) dynamics with a generation of Maxwell and Chern-Simons
noncommutative terms in the effective action. Up to the 1/N order all
divergences are only logarithimic so that the model is free from nonintegrable
infrared singularities.Comment: Minor corrections in the text and modifications in the list of
reference
Mode regularization of the susy sphaleron and kink: zero modes and discrete gauge symmetry
To obtain the one-loop corrections to the mass of a kink by mode
regularization, one may take one-half the result for the mass of a widely
separated kink-antikink (or sphaleron) system, where the two bosonic zero modes
count as two degrees of freedom, but the two fermionic zero modes as only one
degree of freedom in the sums over modes. For a single kink, there is one
bosonic zero mode degree of freedom, but it is necessary to average over four
sets of fermionic boundary conditions in order (i) to preserve the fermionic
Z gauge invariance , (ii) to satisfy the basic principle of
mode regularization that the boundary conditions in the trivial and the kink
sector should be the same, (iii) in order that the energy stored at the
boundaries cancels and (iv) to avoid obtaining a finite, uniformly distributed
energy which would violate cluster decomposition. The average number of
fermionic zero-energy degrees of freedom in the presence of the kink is then
indeed 1/2. For boundary conditions leading to only one fermionic zero-energy
solution, the Z gauge invariance identifies two seemingly distinct `vacua'
as the same physical ground state, and the single fermionic zero-energy
solution does not correspond to a degree of freedom. Other boundary conditions
lead to two spatially separated solutions, corresponding to
one (spatially delocalized) degree of freedom. This nonlocality is consistent
with the principle of cluster decomposition for correlators of observables.Comment: 32 pages, 5 figure
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