192 research outputs found
Evaluation of plasma neurotransmitters in children living with Attention-Deficit Hyperactivity Disorder (ADHD)
This study aimed to ascertain the underlying neuro-biochemical imbalances that exist in children with ADHD by assessing the plasma levels of dopamine, serotonin, norepinephrine, γ aminobutyric acid (GABA) and glutamate. Moreover, it investigated the potential effects of PUFA and vitamins supplementation as an alternative therapy to modulate the levels of these neurotransmitters and the overall clinical status of ADHD patients. The study included 40 ADHD patients, aged 4-6 years. The diagnostic and statistical manual of mental disorders (DSM-5) test has been employed to diagnose patients with ADHD and the severity of symptoms was assessed using the Arabic version of Conners' Parent Rating Scale. Additionally, patients were assessed using the Arabic versions of Mini International Neuropsychiatric Interview for Children (M.I.N.I. Kid) and Stanford-Binet Intelligence Scale, 5th Edition (SB5). Recruited patient received nutritional supplement of semi-solid diet containing 1000 mg PUFA with selected vitamins once daily for six months. The evaluation of ADHD symptoms and levels of neurotransmitters has been carried out at pre-/post-intervention stage. Post-nutrition intervention assessment, there was a significant increase in dopamine, norepinephrine, GABA levels (p-value < 0.0001) with significant decrease in glutamate level (p-value < 0.0001) when compared to their correspondent pre-intervention levels. Symptoms of inattention and/or hyperactivity-impulsivity were significantly improved after 6 months nutrition intervention program (p-value<0.001). Therefore, supplementation with omega-3 fatty acids and vitamins could be considered more extensively in therapy of ADHD patients particularly those who are less than 6 years old
-Deformed Grassmann Field and the Two-dimensional Ising Model
In this paper we construct the exact representation of the Ising partition
function in the form of the -invariant functional integral for the
lattice free -fermion field theory (). It is shown that the
-fermionization allows one to re-express the partition function of the
eight-vertex model in external field through functional integral with
four-fermion interaction. To construct these representations, we define a
lattice -deformed Grassmann bispinor field and extend the Berezin
integration rules to this field. At we obtain the lattice
-fermion field which allows us to fermionize the two-dimensional Ising
model. We show that the Gaussian integral over -Grassmann variables is
expressed through the -deformed Pfaffian which is equal to square root
of the determinant of some matrix at .Comment: 24 pages, LaTeX; minor change
On two-point boundary correlations in the six-vertex model with DWBC
The six-vertex model with domain wall boundary conditions (DWBC) on an N x N
square lattice is considered. The two-point correlation function describing the
probability of having two vertices in a given state at opposite (top and
bottom) boundaries of the lattice is calculated. It is shown that this
two-point boundary correlator is expressible in a very simple way in terms of
the one-point boundary correlators of the model on N x N and (N-1) x (N-1)
lattices. In alternating sign matrix (ASM) language this result implies that
the doubly refined x-enumerations of ASMs are just appropriate combinations of
the singly refined ones.Comment: v2: a reference added, typos correcte
Bulk correlation functions in 2D quantum gravity
We compute bulk 3- and 4-point tachyon correlators in the 2d Liouville
gravity with non-rational matter central charge c<1, following and comparing
two approaches. The continuous CFT approach exploits the action on the tachyons
of the ground ring generators deformed by Liouville and matter ``screening
charges''. A by-product general formula for the matter 3-point OPE structure
constants is derived. We also consider a ``diagonal'' CFT of 2D quantum
gravity, in which the degenerate fields are restricted to the diagonal of the
semi-infinite Kac table. The discrete formulation of the theory is a
generalization of the ADE string theories, in which the target space is the
semi-infinite chain of points.Comment: 14 pages, 2 figure
Polynomial Identities, Indices, and Duality for the N=1 Superconformal Model SM(2,4\nu)
We prove polynomial identities for the N=1 superconformal model SM(2,4\nu)
which generalize and extend the known Fermi/Bose character identities. Our
proof uses the q-trinomial coefficients of Andrews and Baxter on the bosonic
side and a recently introduced very general method of producing recursion
relations for q-series on the fermionic side. We use these polynomials to
demonstrate a dual relation under q \rightarrow q^{-1} between SM(2,4\nu) and
M(2\nu-1,4\nu). We also introduce a generalization of the Witten index which is
expressible in terms of the Rogers false theta functions.Comment: 41 pages, harvmac, no figures; new identities, proofs and comments
added; misprints eliminate
Level-0 structure of level-1 -modules and Macdonald polynomials
The level- integrable highest weight modules of
admit a level- action of the same algebra. This action is defined using the
affine Hecke algebra and the basis of the level- module generated by
components of vertex operators. Each level- module is a direct sum of
finite-dimensional irreducible level- modules, whose highest weight vector
is expressed in terms of Macdonald polynomials. This decomposition leads to the
fermionic character formula for the level- modules.Comment: 22 pages, LaTeX 2.09 (and amsfonts preferably). (Minor corrections
Nonplanar integrability at two loops
In this article we compute the action of the two loop dilatation operator on
restricted Schur polynomials that belong to the su(2) sector, in the displaced
corners approximation. In this non-planar large N limit, operators that
diagonalize the one loop dilatation operator are not corrected at two loops.
The resulting spectrum of anomalous dimensions is related to a set of decoupled
harmonic oscillators, indicating integrability in this sector of the theory at
two loops. The anomalous dimensions are a non-trivial function of the 't Hooft
coupling, with a spectrum that is continuous and starting at zero at large N,
but discrete at finite N.Comment: version to appear in JHE
Renormalization group flow with unstable particles
The renormalization group flow of an integrable two dimensional quantum field
theory which contains unstable particles is investigated. The analysis is
carried out for the Virasoro central charge and the conformal dimensions as a
function of the renormalization group flow parameter. This allows to identify
the corresponding conformal field theories together with their operator content
when the unstable particles vanish from the particle spectrum. The specific
model considered is the -homogeneous Sine-Gordon model.Comment: 5 pages Latex, 3 figure
Matching three-point functions of BMN operators at weak and strong coupling
The agreement between string theory and field theory is demonstrated in the
leading order by providing the first calculation of the correlator of three
two-impurity BMN states with all non-zero momenta. The calculation is performed
in two completely independent ways: in field theory by using the large-
perturbative expansion, up to the terms subleading in finite-size, and in
string theory by using the Dobashi-Yoneya 3-string vertex in the leading order
of the Penrose expansion. The two results come out to be completely identical.Comment: 14 pages, 1 figur
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