282 research outputs found
SU(3) breaking in hyperon transition vector form factors
We present a calculation of the SU(3)-breaking corrections to the hyperon
transition vector form factors to in heavy baryon chiral
perturbation theory with finite-range regularisation. Both octet and decuplet
degrees of freedom are included. We formulate a chiral expansion at the
kinematic point , which can be conveniently accessed
in lattice QCD. The two unknown low-energy constants at this point are
constrained by lattice QCD simulation results for the
and transition form factors. Hence we determine
lattice-informed values of at the physical point. This work constitutes
progress towards the precise determination of from hyperon
semileptonic decays
Quark structure from the lattice Operator Product Expansion
We have reported elsewhere in this conference on our continuing project to
determine non-perturbative Wilson coefficients on the lattice, as a step
towards a completely non-perturbative determination of the nucleon structure.
In this talk we discuss how these Wilson coefficients can be used to extract
Nachtmann moments of structure functions, using the case of off-shell
Landau-gauge quarks as a first simple example. This work is done using overlap
fermions, because their improved chiral properties reduce the difficulties due
to operator mixing.Comment: 7 pages, 3 figures. Talk given at the XXVII International Symposium
on Lattice Field Theory, July 26-31 2009, Peking University, Beijing, Chin
The operator product expansion on the lattice
We investigate the Operator Product Expansion (OPE) on the lattice by
directly measuring the product (where J is the vector current) and
comparing it with the expectation values of bilinear operators. This will
determine the Wilson coefficients in the OPE from lattice data, and so give an
alternative to the conventional methods of renormalising lattice structure
function calculations. It could also give us access to higher twist quantities
such as the longitudinal structure function F_L = F_2 - 2 x F_1. We use overlap
fermions because of their improved chiral properties, which reduces the number
of possible operator mixing coefficients.Comment: 7 pages, 4 postscript figures. Contribution to Lattice 2007,
Regensbur
Nucleon structure in terms of OPE with non-perturbative Wilson coefficients
Lattice calculations could boost our understanding of Deep Inelastic
Scattering by evaluating moments of the Nucleon Structure Functions. To this
end we study the product of electromagnetic currents between quark states. The
Operator Product Expansion (OPE) decomposes it into matrix elements of local
operators (depending on the quark momenta) and Wilson coefficients (as
functions of the larger photon momenta). For consistency with the matrix
elements, we evaluate a set of Wilson coefficients non-perturbatively, based on
propagators for numerous momentum sources, on a 24^3 x 48 lattice. The use of
overlap quarks suppresses unwanted operator mixing and lattice artifacts.
Results for the leading Wilson coefficients are extracted by means of Singular
Value Decomposition.Comment: 7 pages, 3 figures, contribution to the XXVI International Symposium
on Lattice Field Theory, July 14-19 Williamsburg, Virginia, US
Results from 2+1 flavours of SLiNC fermions
QCD results are presented for a 2+1 flavour fermion clover action (which we
call the SLiNC action). A method of tuning the quark masses to their physical
values is discussed. In this method the singlet quark mass is kept fixed, which
solves the problem of different renormalisations (for singlet and non-singlet
quark masses) occuring for non-chirally invariant lattice fermions. This
procedure enables a wide range of quark masses to be probed, including the case
with a heavy up-down quark mass and light strange quark mass. Preliminary
results show the correct splittings for the baryon (octet and) decuplet
spectrum.Comment: 7 pages; talk given at the XXVII International Symposium on Lattice
Field Theory, July 26-31 2009, Peking University, Beijing, Chin
Large orders in strong-field QED
We address the issue of large-order expansions in strong-field QED. Our
approach is based on the one-loop effective action encoded in the associated
photon polarisation tensor. We concentrate on the simple case of crossed fields
aiming at possible applications of high-power lasers to measure vacuum
birefringence. A simple next-to-leading order derivative expansion reveals that
the indices of refraction increase with frequency. This signals normal
dispersion in the small-frequency regime where the derivative expansion makes
sense. To gain information beyond that regime we determine the factorial growth
of the derivative expansion coefficients evaluating the first 80 orders by
means of computer algebra. From this we can infer a nonperturbative imaginary
part for the indices of refraction indicating absorption (pair production) as
soon as energy and intensity become (super)critical. These results compare
favourably with an analytic evaluation of the polarisation tensor asymptotics.
Kramers-Kronig relations finally allow for a nonperturbative definition of the
real parts as well and show that absorption goes hand in hand with anomalous
dispersion for sufficiently large frequencies and fields.Comment: 26 pages, 6 figure
Pion and Rho Structure Functions from Lattice QCD
We calculate the lower moments of the deep-inelastic structure functions of
the pion and the rho meson on the lattice. Of particular interest to us are the
spin-dependent structure functions of the rho. The calculations are done with
Wilson fermions and for three values of the quark mass, so that we can perform
an extrapolation to the chiral limit.Comment: 30pp, LaTeX2e with 15 eps figures using epsfig. Postscript file also
available from ftp://ftp.th.physik.uni-frankfurt.de/pub/cbest/pionrho.ps or
http://www.th.physik.uni-frankfurt.de/~cbest/pionrho.p
Non-perturbative improvement of stout-smeared three flavour clover fermions
We discuss a 3-flavour lattice QCD action with clover improvement in which
the fermion matrix has single level stout smearing for the hopping terms
together with unsmeared links for the clover term. With the (tree-level)
Symanzik improved gluon action this constitutes the Stout Link Non-perturbative
Clover or SLiNC action. To cancel O(a) terms the clover term coefficient has to
be tuned. We present here results of a non-perturbative determination of this
coefficient using the Schroedinger functional and as a by-product a
determination of the critical hopping parameter. Comparisons of the results are
made with lowest order perturbation theory.Comment: 30 pages, 13 figures, minor changes, published versio
Spectroscopy and Renormalisation Group Flow of a Lattice Nambu-Jona-Lasinio Model
We investigate a lattice Nambu--Jona-Lasinio model both by the Monte Carlo
method and Schwinger-Dyson equations. A comparison allows the discussion of
finite size effects and the extrapolation to infinite volume. We pay special
attention to the identification of particles and resonances. This enables us to
discuss renormalisation group flows in the neighbourhood of the critical
coupling where the chiral symmetry breaking phase transition takes place. In no
region of the bare parameter space do we find renormalisability for the model.Comment: 66 pages, latex and postscript figures. The postscript file for this
paper (called njl.ps) is also available from ftp://dirac.physik.fu-berlin.de/
in the directory nj
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