[PDF] Top 20 Non-perturbative renormalisation for overlap fermions

... our extrapolation to zero mass for a vector and an axial vector at a 2 p 2 = 0.529. At this momentum the agreement between the two results is quite good at zero mass. At higher values of the mo- mentum the agreement ... See full document

... the non-forward quark matrix elements of operators with one and two covariant derivatives needed for the renormalisation of the first and second moments of generalised parton distributions in one-loop ... See full document

... The results presented in this paper were obtained for Wilson fermions. However, nu- merical simulations will be performed with clover or overlap fermions. Therefore, the numbers given in the ... See full document

... although the situation can be improved by con- sidering so-called “mean-field improvement” [7], it is preferable to determine these factors non- perturbatively. One method to compute the re- normalization factor ... See full document

... in the chiral limit, as expected. The nonper- turbative numbers turn out to lie 20% higher than the tadpole improved perturbative values (at a = 0.095 fm). On the phenomenological side we have computed the ... See full document

... A perturbative calculation of the corre- sponding renormalisation constants is always the first ...the renormalisation constants of bilinear [10, 11, 12] and four-quark [13] operators have been ... See full document

... appropriate renormalisation constant is known to one loop perturbation theory (for overlap fermions the results are given in ...a non- perturbative method, NP, ...For overlap ... See full document

... unquenched fermions. As, in particular for unquenched fermions the available β-range is rather narrow and far from the continuum limit the Pad´e extrapolation should be treated with some ... See full document

... the renormalisation scheme. Z O S (a, µ ) is the renormalisation factor connecting the lattice operator O (a) with the renormalised operator O S (µ ) at scale ... See full document

... To improve the convergence of the perturbative series and to get rid of lattice artefacts, we have applied tadpole improvement to our results. This was done in two stages. In the first stage we improved the gluon ... See full document

... In this ch ap te r, th e topological stru c tu re of th e m ulti-loop space A4 an d th e m ulti-loop functionals defined on it will be studied. Recall th a t in this thesis, E denotes a sm o o th , closed, com pact, ... See full document

... Abstract. In this report, based on [1], we suggest that the hierarchy be- tween the Electroweak (EW) and the Planck scales can emerge due to a non- perturbative effect that relates low-energy and ... See full document

... Permanent repository link: http://openaccess.city.ac.uk/13901/ Link to published version: Copyright and reuse: City Research Online aims to make research outputs of City, University of L[r] ... See full document

... of non-perturbative methods does not yet cover that situation [6] and it remains to be clarified how the form factor bootstrap program for the computation of two- point functions can be extended to that ... See full document

... The result is safely inside experimental limitations (3, 4). Let us note, that estimates for cut-o ff an energy scale also evidently do not contradict LHC results [9]. Of course we have in (15) again only two standard ... See full document

... as non self-conjugated particles. A non-trivial consistency check for the validity of our proposal will be ultimately provided when exploiting it in the computation of the conductance, obtained by entirely ... See full document

... aforementioned non-perturbative oscillating solutions appear to be ...full non-perturbative equations including non-longitudinal modes, ...study non-perturbative massive ... See full document

... For QED in (3+1) Tang [12] used another procedure to regularize and renor­ malize, one familiar from perturbation theory. He used light cone perturbation theory to calculate a mass counterterm for the electron so that ... See full document

... of non-perturbative methods does not yet cover that situation [6] and it remains to be clarified how the form factor bootstrap program for the computation of two- point functions can be extended to that ... See full document

... if non-perturbative massive solutions we found here might have implications for or provide yet another alternative to the inflationary scenario (see, ...fake perturbative would-be ghost secretely ... See full document