Universal continuum limit of non-perturbative lattice non-singlet moment evolution
نویسندگان
چکیده
We present evidence for the universality of the continuum limit of the scale dependence of the renormalization constant associated with the operator corresponding to the average momentum of non-singlet parton densities. The evidence is provided by a non-perturbative computation in quenched lattice QCD using the Schrödinger Functional scheme. In particular, we show that the continuum limit is independent of the form of the fermion action used, i.e. the Wilson action and the non-perturbatively improved clover action. ∗Heisenberg Foundation Fellow
منابع مشابه
Lattice hadron matrix elements with the Schrödinger functional: the case of the first moment of non-singlet quark density
We present the results of a non-perturbative determination of the pion matrix element of the twist-2 operator corresponding to the average momentum of non-singlet quark densities. The calculation is made within the Schrödinger functional scheme. We report the results of simulations done with the standard Wilson action and with the non-perturbatively improved clover action and we show that their...
متن کاملRecent results on moments of parton distribution functions ∗
Phenomenological fits to experimental data provide results for moments of parton distribution functions which allow a direct comparison with lattice calculations. In a recent paper [1] we were able to compute a continuum limit value of the lowest moment of a twist-2 operator, corresponding to the averagemomentum of non-singlet quark densities, in pion states. In obtaining the renormalisation gr...
متن کاملNon-perturbative running of the average momentum of non-singlet parton densities
We determine non-perturbatively the anomalous dimensions of the second moment of non-singlet parton densities from a continuum extrapolation of results computed in quenched lattice simulations at different lattice spacings. We use a Schrödinger functional scheme for the definition of the renormalization constant of the relevant twist-2 operator. In the region of renormalized couplings explored,...
متن کاملAnalysis of the Axial Anomaly on the Lattice with O(a)-improved Wilson Action
Flavor singlet and non-singlet axial Ward identities are investigated using the Wilson formulation of lattice QCD with Clover O(a)-improvement, which breaks explicitly chiral symmetry. The matching at one-loop order of all the relevant renormalization constants with the continuum MS scheme is presented. Our calculations include: 1) the contributions arising from the Clover term of the action; 2...
متن کاملNon-perturbative Pion Matrix Element of a twist-2 operator from the Lattice
We give a continuum limit value of the lowest moment of a twist-2 operator in pion states from non-perturbative lattice calculations. We find that the non-perturbatively obtained renormalization group invariant matrix element is 〈x〉RGI = 0.179(11), which corresponds to 〈x〉 MS(2 GeV) = 0.246(15). In obtaining the renormalization group invariant matrix element, we have controlled important system...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008