249 research outputs found
Critical Phenomena with Linked Cluster Expansions in a Finite Volume
Linked cluster expansions are generalized from an infinite to a finite
volume. They are performed to 20th order in the expansion parameter to approach
the critical region from the symmetric phase. A new criterion is proposed to
distinguish 1st from 2nd order transitions within a finite size scaling
analysis. The criterion applies also to other methods for investigating the
phase structure such as Monte Carlo simulations. Our computational tools are
illustrated at the example of scalar O(N) models with four and six-point
couplings for and in three dimensions. It is shown how to localize
the tricritical line in these models. We indicate some further applications of
our methods to the electroweak transition as well as to models for
superconductivity.Comment: 36 pages, latex2e, 7 eps figures included, uuencoded, gzipped and
tarred tex file hdth9607.te
The Asymptotic Expansion of Lattice Loop Integrals Around the Continuum Limit
We present a method of computing any one-loop integral in lattice
perturbation theory by systematically expanding around its continuum limit. At
any order in the expansion in the lattice spacing, the result can be written as
a sum of continuum loop integrals in analytic regularization and a few genuine
lattice integrals (``master integrals''). These lattice master integrals are
independent of external momenta and masses and can be computed numerically. At
the one-loop level, there are four master integrals in a theory with only
bosonic fields, seven in HQET and sixteen in QED or QCD with Wilson fermions.Comment: 9 pages, 2 figure
Interpolation Parameter and Expansion for the Three Dimensional Non-Trivial Scalar Infrared Fixed Point
We compute the non--trivial infrared --fixed point by means of an
interpolation expansion in fixed dimension. The expansion is formulated for an
infinitesimal momentum space renormalization group. We choose a coordinate
representation for the fixed point interaction in derivative expansion, and
compute its coordinates to high orders by means of computer algebra. We compute
the series for the critical exponent up to order twenty five of
interpolation expansion in this representation, and evaluate it using \pade,
Borel--\pade, Borel--conformal--\pade, and Dlog--\pade resummation. The
resummation returns as the value of .Comment: 29 pages, Latex2e, 2 Postscript figure
The three-loop beta function of SU(N) lattice gauge theories with Wilson fermions
We calculate the third coefficient of the lattice beta function associated
with the Wilson formulation for both gauge fields and fermions. This allows us
to evaluate the three-loop correction (linear in ) to the relation
between the lattice Lambda-parameter and the bare coupling , which is
important in order to verify asymptotic scaling predictions. Our calculation
also leads to the two-loop relation between the coupling renormalized in the
MSbar scheme and .
The original version of this paper contained a numerical error in one of the
diagrams, which has now been corrected. The calculations, as well as the layout
of the paper have remained identical, but there are some important changes in
the numerical results.Comment: One 14-page LaTeX file, one PostScript file containing 2 figures.
Corrected a numerical error in one of the diagrams. The calculations, as well
as the layout of the paper have remained unaffected, but there are some
important changes in the numerical result
Asymptotic Behavior of the Correlator for Polyakov Loops
The asymptotic behavior of the correlator for Polyakov loop operators
separated by a large distance is determined for high temperature QCD. It is
dominated by nonperturbative effects related to the exchange of magnetostatic
gluons. To analyze the asymptotic behavior, the problem is formulated in terms
of the effective field theory of QCD in 3 space dimensions. The Polyakov loop
operator is expanded in terms of local gauge-invariant operators constructed
out of the magnetostatic gauge field, with coefficients that can be calculated
using resummed perturbation theory. The asymptotic behavior of the correlator
is , where is the mass of the lowest-lying glueball in
-dimensional QCD. This result implies that existing lattice calculations
of the Polyakov loop correlator at the highest temperatures available do not
probe the true asymptotic region in .Comment: 10 pages, NUHEP-TH-94-2
Perturbative renormalization of lattice N=4 super Yang-Mills theory
We consider N=4 super Yang-Mills theory on a four-dimensional lattice. The
lattice formulation under consideration retains one exact supersymmetry at
non-zero lattice spacing. We show that this feature combined with gauge
invariance and the large point group symmetry of the lattice theory ensures
that the only counterterms that appear at any order in perturbation theory
correspond to renormalizations of existing terms in the bare lattice action. In
particular we find that no mass terms are generated at any finite order of
perturbation theory. We calculate these renormalizations by examining the
fermion and auxiliary boson self energies at one loop and find that they all
exhibit a common logarithmic divergence which can be absorbed by a single
wavefunction renormalization. This finding implies that at one loop only a fine
tuning of the finite parts is required to regain full supersymmetry in the
continuum limit.Comment: v2. Minor corrections, references adde
Renormalized couplings and scaling correction amplitudes in the N-vector spin models on the sc and the bcc lattices
For the classical N-vector model, with arbitrary N, we have computed through
order \beta^{17} the high temperature expansions of the second field derivative
of the susceptibility \chi_4(N,\beta) on the simple cubic and on the body
centered cubic lattices. (The N-vector model is also known as the O(N)
symmetric classical spin Heisenberg model or, in quantum field theory, as the
lattice
O(N) nonlinear sigma model.) By analyzing the expansion of \chi_4(N,\beta) on
the two lattices, and by carefully allowing for the corrections to scaling, we
obtain updated estimates of the critical parameters and more accurate tests of
the hyperscaling relation d\nu(N) +\gamma(N) -2\Delta_4(N)=0 for a range of
values of the spin dimensionality N, including
N=0 [the self-avoiding walk model], N=1 [the Ising spin 1/2 model],
N=2 [the XY model], N=3 [the classical Heisenberg model]. Using the recently
extended series for the susceptibility and for the second correlation moment,
we also compute the dimensionless renormalized four point coupling constants
and some universal ratios of scaling correction amplitudes in fair agreement
with recent renormalization group estimates.Comment: 23 pages, latex, no figure
Gauge Theories on a 2+2 Anisotropic Lattice
The implementation of gauge theories on a four-dimensional anisotropic
lattice with two distinct lattice spacings is discussed, with special attention
to the case where two axes are finely and two axes are coarsely discretized.
Feynman rules for the Wilson gauge action are derived and the renormalizability
of the theory and the recovery of the continuum limit are analyzed. The
calculation of the gluon propagator and the restoration of Lorentz invariance
in on-shell states is presented to one-loop order in lattice perturbation
theory for on both 2+2 and 3+1 lattices.Comment: 27 pages, uses feynmf. Font compatibility adjuste
Targeting host glycolysis as a strategy for antimalarial development
Glycolysis controls cellular energy, redox balance, and biosynthesis. Antiglycolytic therapies are under investigation for treatment of obesity, cancer, aging, autoimmunity, and microbial diseases. Interrupting glycolysis is highly valued as a therapeutic strategy, because glycolytic disruption is generally tolerated in mammals. Unfortunately, anemia is a known dose-limiting side effect of these inhibitors and presents a major caveat to development of antiglycolytic therapies. We developed specific inhibitors of enolase - a critical enzyme in glycolysis - and validated their metabolic and cellular effects on human erythrocytes. Enolase inhibition increases erythrocyte susceptibility to oxidative damage and induces rapid and premature erythrocyte senescence, rather than direct hemolysis. We apply our model of red cell toxicity to address questions regarding erythrocyte glycolytic disruption in the context o
Mesonic correlation lengths in high-temperature QCD
We consider spatial correlation lengths \xi for various QCD light quark
bilinears at temperatures above a few hundred MeV. Some of the correlation
lengths (such as that related to baryon density) coincide with what has been
measured earlier on from glueball-like states; others do not couple to
glueballs, and have a well-known perturbative leading-order expression as well
as a computable next-to-leading-order correction. We determine the latter
following analogies with the NRQCD effective theory, used for the study of
heavy quarkonia at zero temperature: we find (for the quenched case) \xi^{-1} =
2 \pi T + 0.1408 g^2 T, and compare with lattice results. One manifestation of
U_A(1) symmetry non-restoration is also pointed out.Comment: 25 pages. v2: small clarifications; published versio
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