S. V. Wright

Chiral analysis of quenched baryon masses

[...] We extend to quenched QCD an earlier investigation of the chiral structure of the masses of the nucleon and the delta in lattice simulations of full QCD. Even after including the meson-loop self-energies which give rise to the leading and next-to-leading nonanalytic behavior ~and hence the most rapid variation in the region of light quark mass!, we find surprisingly little curvature in the quenched case. Replacing these meson-loop self-energies by the corresponding terms in full QCD yields a remarkable level of agreement with the results of the full QCD simulations. This comparison leads to a very good understanding of the origins of the mass splitting between these baryons.

Baryon masses from lattice QCD: Beyond the perturbative chiral regime

Consideration of the analytic properties of pion-induced baryon self-energies leads to new functional forms for the extrapolation of light baryon masses. These functional forms reproduce the leading non-analytic behavior of chiral perturbation theory, the correct non-analytic behavior at the

Electromagnetic properties of ground-state and excited-state pseudoscalar mesons

N \pi

Chiral behavior of the rho meson in lattice QCD

threshold and the appropriate heavy-quark limit. They involve only three unknown parameters, which may be obtained by fitting to lattice data. Recent dynamical fermion results from CP-PACS and UKQCD are extrapolated using these new functional forms. We also use these functions to probe the limit of applicability of chiral perturbation theory to the extrapolation of lattice QCD results.

In-medium kaon and antikaon properties in the quark-meson coupling model

The axial-vector Ward-Takahashi identity places constraints on particular properties of every pseudoscalar meson. For example, in the chiral limit all pseudoscalar mesons, except the Goldstone mode, decouple from the axial-vector current. Nevertheless, all neutral pseudoscalar mesons couple to two photons. The strength of the {pi}{sub n}{sup 0}{gamma}{gamma} coupling, where n=0 denotes the Goldstone mode, is affected by the Abelian anomalys continuum contribution. The effect is material for n{ne}0. The {gamma}*{pi}{sub n}{gamma}* transition form factor, T{sub {pi}{sub n}}(Q{sup 2}), is nonzero for all n, and T{sub {pi}{sub n}}(Q{sup 2}){approx_equal}(4{pi}{sup 2}/3)(f{sub {pi}{sub n}}/Q{sup 2}) at large Q{sup 2}. For all pseudoscalars but the Goldstone mode, this leading contribution vanishes in the chiral limit. In this instance the ultraviolet power-law behavior is 1/Q{sup 4} for n{ne}0, and we find numerically T{sub {pi}{sub 1}}(Q{sup 2}){approx_equal}(4{pi}{sup 2}/3)(- /Q{sup 4}). This subleading power-law behavior is always present. In general its coefficient is not simply related to f{sub {pi}{sub n}}n. The properties of n{ne}0 pseudoscalar mesons are sensitive to the pointwise behavior of the long-range piece of the interaction between light quarks.

A New Slant on Hadron Structure

In order to guide the extrapolation of the mass of the rho meson calculated in lattice QCD with dynamical fermions, we study the contributions to its self-energy, which vary most rapidly as the quark mass approaches zero, from the processes r!vp and r!pp. It turns out that in analyzing the most recent data from the CP-PACS Collaboration, it is crucial to estimate the self-energy from r!pp using the same grid of discrete momenta as included implicitly in the lattice simulation. The correction associated with the continuum infinite volume limit can then be found by calculating the corresponding integrals exactly. Our error analysis suggests that a factor of 10 improvement in statistics at the lowest quark mass for which data currently exists would allow one to determine the physical rho mass to within 5%. Finally, our analysis throws light on a long- standing problem with the J parameter.

Dynamical chiral symmetry breaking and a critical mass

Abstract The properties of the kaon, K, and antikaon, K , in nuclear medium are studied in the quark-meson coupling (QMC) model. Employing a constituent quark-antiquark (MIT bag model) picture, their excitation energies in a nuclear medium at zero momentum are calculated within mean field approximation. The scalar, and the vector mesons are assumed to couple directly to the nonstrange quarks and antiquarks in the K and K mesons. It is demonstrated that the ρ meson induces different mean field potentials for each member of the isodoublets, K and K , when they are embedded in asymmetric nuclear matter. Furthermore, it is also shown that this ρ meson potential is repulsive for the K− meson in matter with a neutron excess, and renders K− condensation less likely to occur.

Lattice QCD calculations of the sigma commutator

Rather than regarding the restriction of current lattice QCD simulations to quark masses that are 5–10 times larger than those observed as a problem, we note that this presents a wonderful opportunity to deepen our understanding of QCD. Just as it has been possible to learn a great deal about QCD by treating Nc as a variable, so the study of hadron properties as a function of quark mass is leading us to a deeper appreciation of hadron structure. As examples we cite progress in using the chiral properties of QCD to connect hadron masses, magnetic moments, charge radii and structure functions calculated at large quark masses within lattice QCD with the values observed physically.

Sigma terms of light-quark hadrons

On a bounded, measurable domain of non-negative current-quark mass, realistic models of the QCD gap equation can simultaneously admit two nonequivalent dynamical chiral symmetry breaking (DCSB) solutions and a solution that is unambiguously connected with the realization of chiral symmetry in the Wigner mode. The Wigner solution and one of the DCSB solutions are destabilized by a current-quark mass, and both disappear when that mass exceeds a critical value. This critical value also bounds the domain on which the surviving DCSB solution possesses a chiral expansion. This value can therefore be viewed as an upper bound on the domain within which a perturbative expansion in the current-quark mass around the chiral limit is uniformly valid for physical quantities. For a pseudoscalar meson constituted of equal-mass current quarks, it corresponds to a mass

Schwinger functions and light-quark bound states

{m}_{{0}^{\ensuremath{-}}}~0.45