21 research outputs found
On Gauge-Invariant Decomposition of Nucleon Spin
We investigate the relation between the known decompositions of the nucleon
spin into its constituents, thereby clarifying in what respect they are common
and in what respect they are different essentially. The decomposition recently
proposed by Chen et al. can be thought of as a nontrivial generalization of the
gauge-variant Jaffe-Manohar decomposition so as to meet the gauge-invariance
requirement of each term of the decomposition. We however point out that there
is another gauge-invariant decomposition of the nucleon spin, which is closer
to the Ji decomposition, while allowing the decomposition of the gluon total
angular momentum into the spin and orbital parts. After clarifying the reason
why the gauge-invariant decomposition of the nucleon spin is not unique, we
discuss which decomposition is more preferable from the experimental viewpoint.Comment: The version to appear in Phys. Rev.
Universality of Mixed Action Extrapolation Formulae
Mixed action theories with chirally symmetric valence fermions exhibit very
desirable features both at the level of the lattice calculations as well as in
the construction and implementation of the low energy mixed action effective
field theory. In this work we show that when such a mixed action effective
field theory is projected onto the valence sector, both the Lagrangian and the
extrapolation formulae become universal in form through next to leading order,
for all variants of discretization methods used for the sea fermions. Our
conclusion relies on the chiral nature of the valence quarks. The result
implies that for all sea quark methods which are in the same universality class
as QCD, the numerical values of the physical coefficients in the various mixed
action chiral Lagrangians will be the same up to lattice spacing dependent
corrections. This allows us to construct a prescription to determine the mixed
action extrapolation formulae for a large class of hadronic correlation
functions computed in partially quenched chiral perturbation theory at the
one-loop level. For specific examples, we apply this prescription to the
nucleon twist--2 matrix elements and the nucleon--nucleon system. In addition,
we determine the mixed action extrapolation formula for the neutron EDM as this
provides a nice example of a theta-dependent observable; these observables are
exceptions to our prescription.Comment: 36 pages, appendix on twisted mass sea fermions added, expanded
discussion of NLO operators, version published in JHEP; typographical errors
corrected in Eqs. (68) and (69
Finite volume corrections to the electromagnetic current of the nucleon
We compute corrections to both the isovector anomalous magnetic moment and
the isovector electromagnetic current of the nucleon to in the
framework of covariant two-flavor Baryon Chiral Perturbation Theory. We then
apply these corrections to lattice data for the anomalous magnetic moment from
the LHPC, RBC & UKQCD and QCDSF collaborations
Transversity in hard exclusive electroproduction of pseudoscalar mesons
Estimates for electroproduction of pseudoscalar mesons at small values of
skewness are presented. Cross sections and asymmetries for these processes are
calculated within the handbag approach which is based on factorization in hard
parton subprocesses and soft generalized parton distributions (GPDs). The
latter are constructed from double distributions. Transversity GPDs are taken
into account; they are accompanied by twist-3 meson wave functions. For most
pseudoscalar-meson channels a combination of H-tilde_T plays a
particularly prominent role. This combination of GPDs which we constrain by
moments obtained from lattice QCD, leads with the exception of the pi+ and eta'
channels, to large transverse cross sections.Comment: 36 pages and 27 figure