Erratum: Gluonic transversity from lattice QCD [Phys. Rev. D 94 , 014507 (2016)]

Abstract

We present an exploratory study of the gluonic structure of the φ meson using lattice QCD (LQCD). This includes the first investigation of gluonic transversity via the leading moment of the twist-two double-helicity-flip gluonic structure function ∆(x, Q 2 ). This structure function only exists for targets of spin J ≥ 1 and does not mix with quark distributions at leading twist, thereby providing a particularly clean probe of gluonic degrees of freedom. We also explore the gluonic analogue of the Soffer bound which relates the helicity flip and non-flip gluonic distributions, finding it to be saturated at the level of 80%. This work sets the stage for more complex LQCD studies of gluonic structure in the nucleon and in light nuclei where ∆(x, Q 2 ) is an 'exotic glue' observable probing gluons in a nucleus not associated with individual nucleons.

Off-forward gluonic structure of vector mesons

“…Lattice operators with the appropriate continuum behavior that do not have additional mixing with lower or samedimensional operators were constructed, for the cases considered here, in Refs. [11,12].…”

“…[12], the transversity lattice operators are related to continuum Euclidean-space operators through a finite multiplicative renormalization factor,…”

Lattice QCD for Nuclear Physics

“…The program developed in these works allows three-hadron interactions to be extracted from a detailed analysis of the QCD spectra of two-and three-hadron systems at finite volume. However, such a numerical analysis has only been attempted in the case of pion systems where the interactions are perturbatively weak [314,[362][363][364].…”

“…For this reason, significant effort has been devoted to studying the simplest multihadron systems, those with the quantum numbers of many pseudoscalar mesons [314,315,[362][363][364]377]. Unlike multi-baryon systems, these systems do not suffer from exponentially growing statistical noise problems.…”

“…The first studies of multi-meson systems focused on I Ä 5 [362] and the I Ä 12 [363] systems and undertook an extraction of the energies of these states and, using Eq. (5.34), of the zero momentum, I D 3 three-pion interaction for the first time, finding it to be repulsive and commensurate with estimates based on naive dimensional analysis.…”