1,298 research outputs found
Thoughts about disordered thinking: measuring and quantifying the laws of order and disorder
Peer ReviewedPostprint (author's final draft
Effects in Chern-Simons with a Four-Fermi Interaction
We investigate the effects of the Chern-Simons coupling on the high energy
behavior in the -dimensional Chern-Simons QED with a four-Fermi
interaction. Using the expansion we discuss the Chern-Simons effects on
the critical four-Fermi coupling at and the function around
it. High-energy behavior of Green's functions is also discussed. By explicit
calculation, we find that the radiative correction to the Chern-Simons coupling
vanishes at in the broken phase of the dynamical parity symmetry. We
argue that no radiative corrections to the Chern-Simons term arise at higher
orders in the expansion.Comment: 13 pages, 6 figures not included, LaTeX, SNUTP 92-9
Nature of 45 degree vortex lattice reorientation in tetragonal superconductors
The transformation of the vortex lattice in a tetragonal superconductor which
consists of its 45 degree reorientation relative to the crystal axes is studied
using the nonlocal London model. It is shown that the reorientation occurs as
two successive second order (continuous) phase transitions. The transition
magnetic fields are calculated for a range of parameters relevant for
borocarbide superconductors in which the reorientation has been observed
Equation of state for the 2+1 dimensional Gross-Neveu model at order 1/N
We calculate the equation of state of the Gross-Neveu model in 2+1 dimensions
at order 1/N, where N is the number of fermion species. We make use of a
general formula valid for four-fermion theories, previously applied to the
model in 1+1 dimensions. We consider both the discrete and continuous symmetry
versions of the model. We show that the pion-like excitations give the dominant
contribution at low temperatures. The range of validity for such pion dominance
is analyzed. The complete analysis from low to high temperatures also shows
that in the critical region the role of composite states is relevant, even for
quite large N, and that the free-component behaviour at high T starts at about
twice the mean field critical temperature.Comment: 19 pages, RevTeX, 10 figures.p
Four Fermion Field Theories and the Chern-Simons Field: A Renormalization Group Study
In (2+1) dimensions, we consider the model of a flavor, two-component
fermionic field interacting through a Chern-Simons field besides a four fermion
self-interaction which consists of a linear combination of the Gross-Neveu and
Thirring like terms. The four fermion interaction is not perturbatively
renormalizable and the model is taken as an effective field theory in the
region of low momenta. Using Zimmerman procedure for reducing coupling
constants, it is verified that, for small values of the Chern-Simons parameter,
the origin is an infrared stable fixed point but changes to ultraviolet stable
as becomes bigger than a critical . Composite operators are
also analyzed and it is shown that a specific four fermion interaction has an
improved ultraviolet behavior as increases.Comment: 9 pages, revte
Interpretations of Presburger Arithmetic in Itself
Presburger arithmetic PrA is the true theory of natural numbers with
addition. We study interpretations of PrA in itself. We prove that all
one-dimensional self-interpretations are definably isomorphic to the identity
self-interpretation. In order to prove the results we show that all linear
orders that are interpretable in (N,+) are scattered orders with the finite
Hausdorff rank and that the ranks are bounded in terms of the dimension of the
respective interpretations. From our result about self-interpretations of PrA
it follows that PrA isn't one-dimensionally interpretable in any of its finite
subtheories. We note that the latter was conjectured by A. Visser.Comment: Published in proceedings of LFCS 201
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Coexisting Dementia and Depression in Parkinson's Disease
Dementia and depression in patients with Parkinson's disease have been reported separately, but their prevalence is controversial. This study examines the coexistence of these two problems and suggests a common underlying biochemical system. We examined these two entities by retrospective chart review and cerebrospinal fluid biochemistry. We found a prevalence of 10.9% for dementia, 51% for depression, and 5.4% for coincident depression and dementia. In a prospective study of patients with Parkinson's disease we found a continuum of cerebrospinal fluid 5-hydroxyindoleacetic acid concentrations. Patients who were either depressed or demented had lower concentrations of this metabolite than other patients with Parkinson's disease, but patients who were depressed and demented had the lowest levels. These results suggest that the coexistence of dementia and depression represents a unique clinical entity in Parkinson's disease. The serotonergic system may be involved in depression and dementia because evidence of a cumulative effect on this biochemical system is present
Why the lowest Landau level approximation works in strongly type II superconductors
Higher than the lowest Landau level contributions to magnetization and
specific heat of superconductors are calculated using Ginzburg - Landau
equations approach. Corrections to the excitation spectrum around solution of
these equations (treated perturbatively) are found. Due to symmetries of the
problem leading to numerous cancellations the range of validity of the LLL
approximation in mean field is much wider then a naive range and extends all
the way down to . Moreover the contribution of higher
Landau levels is significantly smaller compared to LLL than expected naively.
We show that like the LLL part the lattice excitation spectrum at small
quasimomenta is softer than that of usual acoustic phonons. This enhanses the
effect of fluctuations. The mean field calculation extends to third order,
while the fluctuation contribution due to HLL is to one loop. This complements
the earlier calculation of the LLL part to two loop order.Comment: 20 pages, Latex file, three figure
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