We show that the O(Λ) ambiguity in the pole mass can be fixed in a natural way by introducing a properly define nonperturbative V-scheme momentum space coupling αV (q) where the confining contributions have been subtracted out. It is found, relying on a result of Lüscher, that in quenched QCD αV (0)=0.196. The same coupling parametrizes the short distance power corrections to the heavy quark po...

The analytic expression of the momentum representation in terms of the associated Legendre function is determined by a direct integration of Fourier transform of the wave function of coordinates using the Levi-Civita transformation and 2 2 R R → the generating function method. A new generating function for the associated Legendre functions are obtained.

The assumption of angular ordering in gluon radiation is essential to obtain quantitative results concerning gluonic behaviors. In order to prove the validity of this assumption, we have applied our momentum space flux-tube formalism to check out the angular dependences of gluon radiation. We have calculated the probability amplitudes to get new gluon, and have found that the new gluon is gener...

A full analytic calculation of the two-loop diagrams contributing to the static potential in QCD is presented in detail. Using a renormalization group improvement, the “three-loop” potential in momentum space is thus derived and the third coefficient of the β-function for the V -scheme is given. The Fourier transformation to position space is then performed, and the result is briefly discussed.

We present a simple form of the on-shell gauge-invariant 1-loop effective action of N=8 supergravity which is manifestly N=8 supersymmetric at the linear level. By generalizing the dimensional arguments in superspace to non-local invariants, we show that the 1-loop effective action does not contain any contributions from bubble and triangle diagrams. The absence of bubbles implies the absence o...

background: the effectiveness of classic standard triple therapy regimen of helicobacter pylori (h. pylori) eradication has decreased to unacceptably low levels, largely related to development of resistance to metronidazole and clarithromycin. thus successful eradication of h. pylori infections remains challenging. therefore alternative treatments with superior effectiveness and safety should b...