303 research outputs found
Extrapolation Methods for the Dirac Inverter in Hybrid Monte Carlo
In Hybrid Monte Carlo(HMC) simulations for full QCD, the gauge fields evolve
smoothly as a function of Molecular Dynamics (MD) time. Thus we investigate
improved methods of estimating the trial solutions to the Dirac propagator as
superpositions of the solutions in the recent past. So far our best
extrapolation method reduces the number of Conjugate Gradient iterations per
unit MD time by about a factor of 4. Further improvements should be forthcoming
as we further exploit the information of past trajectories.Comment: latex file with espcrc2 styl
QCDF90: Lattice QCD with Fortran 90
We have used Fortran 90 to implement lattice QCD. We have designed a set of
machine independent modules that define fields (gauge, fermions, scalars,
etc...) and overloaded operators for all possible operations between fields,
matrices and numbers. With these modules it is very simple to write high-level
efficient programs for QCD simulations. To increase performances our modules
also implements assignments that do not require temporaries, and a machine
independent precision definition. We have also created a useful compression
procedure for storing the lattice configurations, and a parallel implementation
of the random generators. We have widely tested our program and modules on
several parallel and single processor supercomputers obtaining excellent
performances.Comment: LaTeX file, 8 pages, no figures. More information available at:
http://hep.bu.edu/~leviar/qcdf90.htm
Towards a lattice calculation of the coefficients of the QCD chiral Lagrangian
We discuss a general strategy to compute the coefficients of QCD chiral
Lagrangian by using the lattice regularization of QCD with Wilson fermions.
This procedure requires the introduction of an effective Lagrangian for lattice
QCD as an intermediate step in the calculation. The continuum QCD chiral
Lagrangian can be then obtained by expanding the lattice effective Lagrangian
in increasing powers of the external momenta. A suitable renormalization
procedure is required to account for the chiral symmetry breaking introduced by
the Wilson term in the lattice action. In anticipation of a numerical
simulation, the lattice effective Lagrangian is computed analytically and
investigated in the strong coupling and large limitComment: Talk presented at LATTICE96(chirality in qcd) , 3 pages, no figures.
Latex file with espcrc2 styl
Monte Carlo Simulations of the SU(2) Vacuum Structure
Lattice Monte Carlo simulations are performed for the SU(2) Yang Mills gauge
theory in the presence of an Abelian background with external sources to obtain
information on the effective potential. The goal is to investigate the lowest
Landau mode that, in the continuum one-loop effective potential, is the crucial
mode for instability. It is shown that also in the lattice formulation this
lowest Landau mode plays a very peculiar role, and it is important for the
understanding of the vacuum properties.Comment: 3 pages, to appear in the Proceedings of Lattice 93, preprint
BU-HEP-93-2
Chronological Inversion Method for the Dirac Matrix in Hybrid Monte Carlo
In Hybrid Monte Carlo simulations for full QCD, the gauge fields evolve
smoothly as a function of Molecular Dynamics time. Here we investigate improved
methods of estimating the trial or starting solutions for the Dirac matrix
inversion as superpositions of a chronological sequence of solutions in the
recent past. By taking as the trial solution the vector which minimizes the
residual in the linear space spanned by the past solutions, the number of
conjugate gradient iterations per unit MD time is decreased by at least a
factor of 2. Extensions of this basic approach to precondition the conjugate
gradient iterations are also discussed.Comment: 35 pages, 18 EPS figures A new "preconditioning" method, derived from
the Chronological Inversion, is described. Some new figures are appended.
Some reorganization of the material has taken plac
Polarizing Bubble Collisions
We predict the polarization of cosmic microwave background (CMB) photons that
results from a cosmic bubble collision. The polarization is purely E-mode,
symmetric around the axis pointing towards the collision bubble, and has
several salient features in its radial dependence that can help distinguish it
from a more conventional explanation for unusually cold or hot features in the
CMB sky. The anomalous "cold spot" detected by the Wilkinson Microwave
Anisotropy Probe (WMAP) satellite is a candidate for a feature produced by such
a collision, and the Planck satellite and other proposed surveys will measure
the polarization on it in the near future. The detection of such a collision
would provide compelling evidence for the string theory landscape.Comment: Published version. 15 pages, 8 figure
Nonlinear Realization of Chiral Symmetry on the Lattice
We formulate lattice theories in which chiral symmetry is realized
nonlinearly on the fermion fields. In this framework the fermion mass term does
not break chiral symmetry. This property allows us to use the Wilson term to
remove the doubler fermions while maintaining exact chiral symmetry on the
lattice. Our lattice formulation enables us to address non-perturbative
questions in effective field theories of baryons interacting with pions and in
models involving constituent quarks interacting with pions and gluons. We show
that a system containing a non-zero density of static baryons interacting with
pions can be studied on the lattice without encountering complex action
problems. In our formulation one can also decide non-perturbatively if the
chiral quark model of Georgi and Manohar provides an appropriate low-energy
description of QCD. If so, one could understand why the non-relativistic quark
model works.Comment: 34 pages, 2 figures, revised version to be published in J. High
Energy Phys. (changes in the 1st paragraph, additional descriptions on the
nature of the coordinate singularities in Sec.2, references added
Chiral perturbation theory at O(a^2) for lattice QCD
We construct the chiral effective Lagrangian for two lattice theories: one
with Wilson fermions and the other with Wilson sea fermions and Ginsparg-Wilson
valence fermions. For each of these theories we construct the Symanzik action
through order . The chiral Lagrangian is then derived, including terms of
order , which have not been calculated before. We find that there are only
few new terms at this order. Corrections to existing coefficients in the
continuum chiral Lagrangian are proportional to , and appear in the
Lagrangian at order or higher. Similarly, O(4) symmetry breaking
terms enter the Symanzik action at order , but contribute to the chiral
Lagrangian at order or higher. We calculate the light meson masses in
chiral perturbation theory for both lattice theories. At next-to-leading order,
we find that there are no order corrections to the valence-valence meson
mass in the mixed theory due to the enhanced chiral symmetry of the valence
sector.Comment: 25 pages, LaTeX2e; references adde
Effective Lagrangian for strongly coupled domain wall fermions
We derive the effective Lagrangian for mesons in lattice gauge theory with
domain-wall fermions in the strong-coupling and large-N_c limits. We use the
formalism of supergroups to deal with the Pauli-Villars fields, needed to
regulate the contributions of the heavy fermions. We calculate the spectrum of
pseudo-Goldstone bosons and show that domain wall fermions are doubled and
massive in this regime. Since we take the extent and lattice spacing of the
fifth dimension to infinity and zero respectively, our conclusions apply also
to overlap fermions.Comment: 26 pp. RevTeX and 3 figures; corrected error in symmetry breaking
scheme and added comments to discussio
Metallo-dielectric diamond and zinc-blende photonic crystals
It is shown that small inclusions of a low absorbing metal can have a
dramatic effect on the photonic band structure. In the case of diamond and
zinc-blende photonic crystals, several complete photonic band gaps (CPBG's) can
open in the spectrum, between the 2nd-3rd, 5th-6th, and 8th-9th bands. Unlike
in the purely dielectric case, in the presence of small inclusions of a low
absorbing metal the largest CPBG for a moderate dielectric constant
(epsilon<=10) turns out to be the 2nd-3rd CPBG. The 2nd-3rd CPBG is the most
important CPBG, because it is the most stable against disorder. For a diamond
and zinc-blende structure of nonoverlapping dielectric and metallo-dielectric
spheres, a CPBG begins to decrease with an increasing dielectric contrast
roughly at the point where another CPBG starts to open--a kind of gap
competition. A CPBG can even shrink to zero when the dielectric contrast
increases further. Metal inclusions have the biggest effect for the dielectric
constant 2<=epsilon<=12, which is a typical dielectric constant at near
infrared and in the visible for many materials, including semiconductors and
polymers. It is shown that one can create a sizeable and robust 2nd-3rd CPBG at
near infrared and visible wavelengths even for a photonic crystal which is
composed of more than 97% low refractive index materials (n<=1.45, i.e., that
of silica glass or a polymer). These findings open the door for any
semiconductor and polymer material to be used as genuine building blocks for
the creation of photonic crystals with a CPBG and significantly increase the
possibilities for experimentalists to realize a sizeable and robust CPBG in the
near infrared and in the visible. One possibility is a construction method
using optical tweezers, which is analyzed here.Comment: 25 pp, 23 figs, RevTex, to appear in Phys Rev B. For more information
look at
http://www.amolf.nl/research/photonic_materials_theory/moroz/moroz.htm
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