210 research outputs found
Monopole Percolation and The Universality Class of the Chiral Transition in Four Flavor Noncompact Lattice QED
We simulate four flavor noncompact lattice QED using the Hybrid Monte Carlo
algorithm on and lattices. Measurements of the monopole
susceptibility and the percolation order parameter indicate a transition at
with critical behavior in the universality class of
four dimensional percolation. We present accurate chiral condensate
measurements and monitor finite size effects carefully. The chiral condensate
data supports the existence of a power-law transition at in the
same universality class as the chiral transition in the two flavor model. The
resulting equation of state predicts the mass ratio in
good agreement with spectrum calculations while the hypothesis of a
logarithmically improved mean field theory fails qualitatively.Comment: 17 pages, 10 figure
The nature of the continuum limit in strongly coupled quenched QED
We review the results of large scale simulations of noncompact quenched
which use spectrum and Equation of State calculations to determine the theory's
phase diagram, critical indices, and continuum limit. The resulting anomalous
dimensions are in good agreement with Schwinger-Dyson solutions of the ladder
graphs of conventional and they satisfy the hyperscaling relations
expected of a relativistic renormalizable field theory. The spectroscopy
results satisfy the constraints of the Goldstone mechanism and PCAC, and may be
indicative of Technicolor versions of the Standard Model which are strongly
coupled at short distances.Comment: (talk given at the XXVI ICHEP, Dallas, TX, Aug 6-12 92), 6 pp.,
ILL-(TH)-92-#2
Chiral Susceptibilities in noncompact QED: a new determination of the exponent and the critical couplings
We report the results of a measurement of susceptibilities in noncompact
in and lattices. Due to the potentialities of the
approach, we have done simulations in the chiral limit which are
therefore free from arbitrary mass extrapolations. Our results in the Coulomb
phase show unambiguously that the susceptibility critical exponent
independently of the flavour symmetry group. The critical couplings extracted
from these calculations are in perfect agreement with previous determinations
based on the fermion effective action and plaquette energy, and outside the
predictions of a logarithmically improved scalar mean field theory by eight
standard deviations.Comment: 11 pages, figures on reques
Testing logarithmic violations to scaling in strongly coupled QED
Using very precise measurements of the critical couplings for the chiral
transition of non compact with up to 8 flavours, we analyse the
behaviour of the order parameter at the critical point using the equation of
state of a logarithmically improved scalar mean field theory, that of the
Nambu-Jona Lasinio theory and a pure power law. The first case is definitively
excluded by the numerical data. The stability of the fits for the last two
cases, as well as the behaviour with the number of flavours of the exponent of
the logarithmic violations to the scaling favour clearly a pure power law
scaling with non mean field exponents.Comment: 6 pages, 3 postscript figures, 2 postscript tables (tar-ed, zip-ed,
uu-encoded
L-Arginine Intake Effect on Adenine Nucleotide Metabolism in Rat Parenchymal and Reproductive Tissues
L-arginine is conditionally essetcial amino acid, required for normal cell growth, protein synthesis, ammonia detoxification, tissue growth and general performance, proposed in the treatment of men sterility and prevention of male impotence. The aim of the present paper was to estimate the activity of the enzymes of adenine nucleotide metabolism: 5âČ-nucleotidase (5âČ-NU), adenosine deaminase (ADA), AMP deaminase, and xanthine oxidase (XO), during dietary intake of L-arginine for a period of four weeks of male Wistar rats. Adenosine concentration in tissues is maintained by the relative activities of the adenosine-producing enzyme, 5âČ-NU and the adenosine-degrading enzyme-ADA adenosine deaminase. Dietary L-arginine intake directed adenine nucleotide metabolism in liver, kidney, and testis tissue toward the activation of adenosine production, by increased 5âČ-NU activity and decreased ADA activity. Stimulation of adenosine accumulation could be of importance in mediating arginine antiatherosclerotic, vasoactive, immunomodulatory, and antioxidant effects. Assuming that the XO activity reflects the rate of purine catabolism in the cell, while the activity of AMP deaminase is of importance in ATP regeneration, reduced activity of XO, together with the increased AMP-deaminase activity, may suggest that adenine nucleotides are presumably directed to the ATP regenerating process during dietary L-arginine intake
Spectroscopy, Equation Of State And Monopole Percolation In Lattice QED With Two Flavors
Non-compact lattice QED with two flavors of light dynamical quarks is
simulated on lattices, and the chiral condensate, monopole density and
susceptibility and the meson masses are measured. Data from relatively high
statistics runs at relatively small bare fermion masses of 0.005, 0.01, 0.02
and 0.03 (lattice units) are presented. Three independent methods of data
analysis indicate that the critical point occurs at and that
the monopole condensation and chiral symmetry breaking transitions are
coincident. The monopole condensation data satisfies finite size scaling
hypotheses with critical indices compatible with four dimensional percolation.
The best chiral equation of state fit produces critical exponents
(, ) which deviate significantly from mean
field expectations. Data for the ratio of the sigma to pion masses produces an
estimate of the critical index in good agreement with chiral
condensate measurements. In the strong coupling phase the ratio of the meson
masses are ,
and , while on the weak coupling side of the
transition , ,
indicating the restoration of chiral symmetry.\footnote{\,^{}}{August 1992}Comment: 21 pages, 24 figures (not included
Chiral Disorder and QCD Phase Transitions
If QCD is to undergo a second order phase transition, the light quark return
probability is universal for large times at the critical point. We show that
this behavior is distinct from the one expected at the mobility edge of a
metal-insulator transition or a percolation transition in d. Our
results are accessible to current lattice QCD simulations.Comment: 5 pages RevTe
Critical Scaling at Zero Virtuality in QCD
We show that at the critical point of chiral random matrix models, novel
scaling laws for the inverse moments of the eigenvalues are expected. We
evaluate explicitly the pertinent microscopic spectral density, and found it in
agreement with numerical calculations. We suggest that similar sum rules are of
relevance to QCD at the critical temperature, and even above if the transition
is amenable to a Landau-Ginzburg description.Comment: 4 pages with 3 eps figures included; small changes, typos correcte
Critical region of the finite temperature chiral transition
We study a Yukawa theory with spontaneous chiral symmetry breaking and with a
large number N of fermions near the finite temperature phase transition.
Critical properties in such a system can be described by the mean field theory
very close to the transition point. We show that the width of the region where
non-trivial critical behavior sets in is suppressed by a certain power of 1/N.
Our Monte Carlo simulations confirm these analytical results. We discuss
implications for the chiral phase transition in QCD.Comment: 18 page
On the Interplay of Monopoles and Chiral Symmetry Breaking in Non-Compact Lattice QED
Non-compact lattice QED is simulated for various numbers of fermion species
ranging from 8 through 40 by the exact Hybrid Monte Carlo algorithm. Over
this range of , chiral symmetry breaking is found to be strongly
correlated with the effective monopoles in the theory. For between 8 and
16 the chiral symmetry breaking and monopole percolation transitions are second
order and coincident. Assuming powerlaw critical behavior, the correlation
length exponent for the chiral transition is identical to that of monopole
percolation. This result supports the conjecture that monopole percolation
``drives" the nontrivial chiral transition. For between 20 and 32, the
monopoles experience a first order condensation transition coincident with a
first order chiral transition. For as large as 40 both transitions are
strongly suppressed. The data at large N_f (N_f \mathrel {\mathpalette \vereq
>} 20) is interpreted in terms of a strongly interacting monopole gas-liquid
transition.Comment: Revtex file, 23 pages, hardcopy figures only
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