73 research outputs found
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Quantum expansion of soliton solutions
A method for giving quantum mechanical meaning to particle-like (soliton) classical solutions is described in an attempt to relate particle-like solutions of classical nonlinear field theory to physical hadrons. The method uses the familiar canonical Hilbert space formalism of quantum mechanics and has been applied to the quantum mechanical interpretation of both static and time- dependent classical soliton solutions. (SDF
Next-to-leading order numerical calculations in Coulomb gauge
Calculations of observables in quantum chromodynamics can be performed using
a method in which all of the integrations, including integrations over virtual
loop momenta, are performed numerically. We use the flexibility inherent in
this method in order to perform next-to-leading order calculations for event
shape variables in electron-positron annihilation in Coulomb gauge. The use of
Coulomb gauge provides the potential to go beyond a purely order alpha_s^2
calculation by including, for instance, renormalon or parton showering effects.
We expect that the approximations needed to include such effects at all orders
in alpha_s will be simplest in a gauge in which unphysically polarized gluons
do not propagate over long distances.Comment: 36 pages with 7 figure
B-meson decay constants from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
We calculate the B-meson decay constants fB, fBs, and their ratio in unquenched lattice QCD using domain-wall light quarks and relativistic b quarks. We use gauge-field ensembles generated by the RBC and UKQCD collaborations using the domain-wall fermion action and Iwasaki gauge action with three flavors of light dynamical quarks. We analyze data at two lattice spacings of a ~ 0.11, 0.086 fm with unitary pion masses as light as Mπ ~ 290 MeV; this enables us to control the extrapolation to the physical light-quark masses and continuum. For the b quarks we use the anisotropic clover action with the relativistic heavy-quark interpretation, such that discretization errors from the heavy-quark action are of the same size as from the light-quark sector. We renormalize the lattice heavy-light axial-vector current using a mostly nonperturbative method in which we compute the bulk of the matching factor nonperturbatively, with a small correction, that is close to unity, in lattice perturbation theory. We also improve the lattice heavy-light current through O (αsa). We extrapolate our results to the physical light-quark masses and continuum using SU(2) heavy-meson chiral perturbation theory, and provide a complete systematic error budget. We obtain fB0 = 199.5(12.6) MeV, fB+ = 195.6(14.9) MeV, fBs = 235.4(12.2) MeV, fBs/fB0 = 1.197(50), and fBs/fB+ = 1.223(71), where the errors are statistical and total systematic added in quadrature. These results are in good agreement with other published results and provide an important independent cross-check of other three-flavor determinations of B-meson decay constants using staggered light quarks
First Nonperturbative Test of a Relativistic Heavy Quark Action in Quenched Lattice QCD
We perform a numerical test of a relativistic heavy quark(RHQ) action,
recently proposed by Tsukuba group, in quenched lattice QCD at
fm. With the use of the improvement parameters previously determined at
one-loop level for the RHQ action, we investigate a restoration of rotational
symmetry for heavy-heavy and heavy-light meson systems around the charm quark
mass. We focused on two quantities, the meson dispersion relation and the
pseudo-scalar meson decay constants. It is shown that the RHQ action
significantly reduces the discretization errors due to the charm quark mass. We
also calculate the S-state hyperfine splittings for the charmonium and
charmed-strange mesons and the meson decay constant. The remaining
discretization errors in the physical quantities are discussed.Comment: 21 pages, 16 figures. A reference and a comment added, a major
modification in appendix, several minor changes in the abstract and the main
text. Errors in affiliation are corrected. Version appeared in JHE
Status of and performance estimates for QCDOC
QCDOC is a supercomputer designed for high scalability at a low cost per
node. We discuss the status of the project and provide performance estimates
for large machines obtained from cycle accurate simulation of the QCDOC ASIC.Comment: 3 pages 1 figure. Lattice2002(machines
Instanton vibrations of the 3-Skyrmion
The Atiyah-Drinfeld-Hitchin-Manin matrix corresponding to a tetrahedrally
symmetric 3-instanton is calculated. Some small variations of the matrix
correspond to vibrations of the instanton-generated 3-Skyrmion. These
vibrations are decomposed under tetrahedral symmetry and this decomposition is
compared to previous knowledge of the 3-Skyrmion vibration spectrum.Comment: 10 pages, LaTeX, no figures, PRD version with longer introduction and
minor change
Lagrangian Becchi-Rouet-Stora-Tyutin treatment of collective coordinates
The Becchi-Rouet-Stora-Tyutin (BRST) treatment for the quantization of
collective coordinates is considered in the Lagrangian formalism. The motion of
a particle in a Riemannian manifold is studied in the case when the classical
solutions break a non-abelian global invariance of the action. Collective
coordinates are introduced, and the resulting gauge theory is quantized in the
BRST antifield formalism. The partition function is computed perturbatively to
two-loops, and it is shown that the results are independent of gauge-fixing
parameters.Comment: LaTeX file, 26 pages, PostScript figures at end of fil
Correlations in the Sine-Gordon Model with Finite Soliton Density
We study the sine-Gordon (SG) model at finite densities of the topological
charge and small SG interaction constant, related to the one-dimensional
Hubbard model near half-filling. Using the modified WKB approach, we find that
the spectrum of the Gaussian fluctuations around the classical solution
reproduces the results of the Bethe ansatz studies. The modification of the
collective coordinate method allows us to write down the action, free from
infra-red divergencies. The behaviour of the density-type correlation functions
is non-trivial and we demonstrate the existence of leading and sub-leading
asymptotes. A consistent definition of the charge-raising operator is
discussed. The superconducting-type correlations are shown to decrease slowly
at small soliton densities, while the spectral weight of right (left) moving
fermions is spread over neighboring "4k_F" harmonics.Comment: 12 pages, 3 eps figures, REVTEX; a discussion of fermions is adde
Hardware and software status of QCDOC
QCDOC is a massively parallel supercomputer whose processing nodes are based
on an application-specific integrated circuit (ASIC). This ASIC was
custom-designed so that crucial lattice QCD kernels achieve an overall
sustained performance of 50% on machines with several 10,000 nodes. This strong
scalability, together with low power consumption and a price/performance ratio
of $1 per sustained MFlops, enable QCDOC to attack the most demanding lattice
QCD problems. The first ASICs became available in June of 2003, and the testing
performed so far has shown all systems functioning according to specification.
We review the hardware and software status of QCDOC and present performance
figures obtained in real hardware as well as in simulation.Comment: Lattice2003(machine), 6 pages, 5 figure
Comments on Noncommutative ADHM Construction
We extend the method of matrix partition to obtain explicitly the gauge field
for noncommutative ADHM construction in some general cases. As an application
of this method we apply it to the U(2) 2-instanton and get explicit result for
the gauge fields in the coincident instanton limit. We also easily apply it to
the noncommutative 't Hooft instantons in the appendix.Comment: 17 pages, LaTeX; an appendix added, typos corrected, refs adde
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