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A renormalization scheme is suggested where QCD input parameters - quark mass and coupling constant - are expressed in terms of gauge invariant and infrared stable quantities. For the renormalization of coupling constant the quark anomalous…

高能物理 - 理论 · 物理学 2007-05-23 G. Sh. Japaridze , K. Sh. Turashvili

We present a new estimate of the fine structure constant and the $\beta$-function of QED at an arbitrary scale. Using the non-perturbative but convergent series expression of the one loop effective action of QED that has been available…

高能物理 - 理论 · 物理学 2007-05-23 Y. M. Cho , D. G. Pak

Higher order renormalization in 4D quantum gravity is carried out using dimensional regularization with great care concerning the conformal-mode dependence. In this regularization, resummation can be automatically carried out without making…

高能物理 - 理论 · 物理学 2009-11-07 Ken-ji Hamada

We non-perturbatively calculate the scale dependence of the static axial current in the Schroedinger functional scheme by means of a recursive finite-size scaling technique, taking the continuum limit in each step. The bare current in the…

高能物理 - 格点 · 物理学 2008-11-26 Jochen Heitger , Martin Kurth , Rainer Sommer

The QED renormalization is restudied by using a mass-dependent subtraction which is performed at a time-like renormalization point. The subtraction exactly respects necessary physical and mathematical requirements such as the gauge…

高能物理 - 理论 · 物理学 2008-11-26 Jun-Chen Su , Xue-Xi Yi , Ying-Hui Cao

The fine structure constant $\alpha$ has a particular status in physics. Its precise determination is required to test the quantum electrodynamics (QED) theory. The constant $\alpha$ is also a keystone for the determination of other…

To unify the quantum electrodynamics (QED) under the first principle which brings the renormalization unartificially, we study Feynman diagrams in QED according to the set theory and the category theory. We add the restriction on the…

综合物理 · 物理学 2012-07-16 Zhongzhu Liu

The electric charge renormalization constant, as defined in the Thomson limit, is expressed in terms of self-energies of the photon-Z-boson system in an arbitrary R_\xi-gauge to all perturbative orders. The derivation as carried out in the…

高能物理 - 唯象学 · 物理学 2021-03-24 Stefan Dittmaier

Renormalization constants can be computed by means of Numerical Stochastic Perturbation Theory to two/three loops in lattice perturbation theory, both in the quenched approximation and in the full (unquenched) theory. As a case of study we…

高能物理 - 格点 · 物理学 2009-11-10 F. Di Renzo , A. Mantovi , V. Miccio , L. Scorzato , C. Torrero

We consider quantum electrodynamics (QED) corrections to the fine splitting $E(2P_{3/2}) - E(2P_{1/2})$ in the Li atom. We derive complete formulas for the $m\,\alpha^6$ and $m\,\alpha^7\,\ln\alpha$ contributions and calculate them…

原子物理 · 物理学 2015-06-19 Mariusz Puchalski , Krzysztof Pachucki

The nucleon axial charge is a central ingredient in nuclear and particle physics, and a key observable in precision tests of the electroweak Standard Model sector and beyond. We report on the first complete calculation of its electroweak…

高能物理 - 唯象学 · 物理学 2021-02-09 Leendert Hayen

We extend the method of differential renormalization to massive quantum field theories treating in particular $\ph4$-theory and QED. As in the massless case, the method proves to be simple and powerful, and we are able to find, in…

高能物理 - 唯象学 · 物理学 2009-10-22 Peter Haagensen , Jose I. Latorre

The phase diagram of non-compact lattice QED in four dimensions with staggered fermions of charges 1 and $-1/2$ is investigated. The renormalized charges are determined and found to be in agreement with perturbation theory. This is an…

高能物理 - 格点 · 物理学 2009-10-28 A. Ali Khan

The field theoretic renormalization study of reduced quantum electrodynamics (QED) is performed up to two loops. In the condensed matter context, reduced QED constitutes a very natural effective relativistic field theory describing (planar)…

高能物理 - 理论 · 物理学 2018-04-05 S. Teber , A. V. Kotikov

This paper presents the complete QED contribution to the electron g-2 up to the tenth order. With the help of the automatic code generator, we have evaluated all 12672 diagrams of the tenth-order diagrams and obtained 9.16…

高能物理 - 唯象学 · 物理学 2015-03-20 Tatsumi Aoyama , Masashi Hayakawa , Toichiro Kinoshita , Makiko Nio

A real space renormalization group technique, based on the hierarchical baby-universe structure of a typical dynamically triangulated manifold, is used to study scaling properties of 2d and 4d lattice quantum gravity. In 4d, the…

高能物理 - 理论 · 物理学 2009-10-28 Z. Burda , J. -P. Kownacki , A. Krzywicki

We present the renormalization constant of the pseudoscalar operator defined with a non-anticommuting $\gamma_5$ in dimensional regularization up to four-loop order in perturbative Quantum Chromodynamics (QCD). Furthermore, by virtue of…

高能物理 - 唯象学 · 物理学 2024-11-13 Long Chen , Michał Czakon , Marco Niggetiedt

The effects of quantum corrections to a conformally invariant scalar field theory on a curved manifold of positive constant curvature with boundary are considered in the context of a renormalisation procedure. The renormalisation of the…

高能物理 - 理论 · 物理学 2014-11-18 George Tsoupros

The O(N_f alpha^2) electroweak radiative corrections to the Thomson scattering matrix element are calculated for a general renormalization scheme with massless fermions. All integrals can be evaluated exactly in dimensional regularization…

高能物理 - 唯象学 · 物理学 2007-05-23 Paresh Malde , Robin G. Stuart

In supersymmetric quantum electrodynamics there is the exact relation between the expressed through the unrenormalized coupling gauge beta-function and the anomalous dimension of matter superfields. In the present report we describe the…

高能物理 - 理论 · 物理学 2019-12-30 I. O. Goriachuk , A. L. Kataev