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In this paper the electron self-energy, photon self-energy and vertex functions are explicitly calculated in Krein space quantization including quantum metric fluctuation. The results are automatically regularized or finite. The magnetic…

High Energy Physics - Phenomenology · Physics 2015-06-05 B. Forghan , M. V. Takook , A. Zarei

Analytic calculations of the Lamb shift represent a considerable challenge due to the size and the complexity of the expressions that occur in intermediate steps. In the current work, we present a method for the treatment of the bound-state…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ulrich D. Jentschura

We consider quantum electrodynamics with chiral four-Fermi interactions in the functional renormalization group approach. In gauge theories, the functional flow equation for the effective action is accompanied by the quantum master equation…

High Energy Physics - Theory · Physics 2026-01-14 Yoshio Echigo , Yuji Igarashi , Katsumi Itoh , Jan M. Pawlowski , Yu Takahashi

In several preceding studies, the explicitly covariant formulation of light front dynamics was developed and applied to many observables. In the present study we show how in this approach the renormalization procedure for the first…

High Energy Physics - Phenomenology · Physics 2009-01-07 J. -J. Dugne , V. A. Karmanov , J. -F. Mathiot

We evaluate renormalization factors of the domain-wall fermion system with various improved gauge actions at one loop level. The renormalization factors are calculated for quark wave function, quark mass, bilinear quark operators, three-…

High Energy Physics - Lattice · Physics 2009-11-07 Sinya Aoki , Taku Izubuchi , Yoshinobu Kuramashi , Yusuke Taniguchi

Canonically, the quantum electrodynamic radiative corrections in bound systems have been evaluated in photon energy regularization, i. e. using a noncovariant overlapping parameter that separates the high-energy relativistic scales of the…

High Energy Physics - Phenomenology · Physics 2013-09-10 B. J. Wundt , U. D. Jentschura

In our recent work [1] on lattice QCD calculation of the baryon leading-twist LCDAs within the framework of LaMET, a novel hybrid renormalization scheme is implemented for octet baryon quasi-DAs, yielding reliable results across both…

High Energy Physics - Lattice · Physics 2026-05-15 Mu-Hua Zhang

We present a method to accelerate the numerical evaluation of spatial integrals of Feynman diagrams when expressed on the real frequency axis. This can be realized through use of a renormalized perturbation expansion with a constant but…

Strongly Correlated Electrons · Physics 2023-04-05 M. D. Burke , Maxence Grandadam , J. P. F. LeBlanc

Inspired by the superblock method of White, we introduce a simple modification of the standard Renormalization Group (RG) technique for the study of quantum lattice systems. Our method which takes into account the effect of Boundary…

Statistical Mechanics · Physics 2009-10-28 A. Langari , V. Karimipour

In an atom, the interaction of a bound electron with the vacuum fluctuations of the electromagnetic field leads to complex shifts in the energy levels of the electron, with the real part of the shift corresponding to a shift in the energy…

Quantum Physics · Physics 2023-06-05 G. Jordan Maclay

We have studied a Fermi system with attractive $U(r)$-symmetric interaction at the finite temperatures by the quantum field renormalization group (RG) method. The RG functions have been calculated in the framework of dimensional…

Statistical Mechanics · Physics 2016-03-23 G. A. Kalagov , M. V. Kompaniets , M. Yu. Nalimov

A recently proposed regularization-independent method is used for the first time to solve the renormalized fermion Schwinger-Dyson equation numerically in quenched QED$_4$. The Curtis-Pennington vertex is used to illustrate the technique…

High Energy Physics - Phenomenology · Physics 2010-03-04 A. Kizilersu , T. Sizer , A. G. Williams

A new method of divergence subtraction in Feynman parametric integrals is presented. The method is suitable for calculating the lepton anomalous magnetic moments (AMM) in quantum electrodynamics (QED). The subtraction procedure eliminates…

High Energy Physics - Phenomenology · Physics 2022-09-07 Sergey Volkov

Infrared divergences from the exchange of dynamically screened magnetic gluons (photons) lead to the breakdown of the Fermi liquid description of the {\em normal} state of cold and dense QCD and QED. We implement a resummation of these…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Boyanovsky , H. J. de Vega

All one-loop renormalization constants for Non-Abelian gauge theory are computed in details by using the symmetry-preserving Loop Regularization method proposed in\cite{LR1,LR2}. The resulting renormalization constants are manifestly shown…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jian-Wei Cui , Yue-Liang Wu

This paper is an updated version of the paper of similar title published in September 1998 {21} modified to take into account recent experimental results and recommendations from CODATA {19} and also to incorporate a correction. The…

Quantum Physics · Physics 2007-05-23 J. G. Gilson

For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic…

High Energy Physics - Phenomenology · Physics 2011-09-13 W. Hollik , E. Kraus , D. Stöckinger

Light-front Hamiltonian methods are being developed to attack bound-state problems in QCD. In this paper we advance the state of the art for these methods by computing the well-known Lamb shift in hydrogen starting from first principles of…

High Energy Physics - Theory · Physics 2009-10-30 Billy D. Jones , Robert J. Perry

We extent the standard approach of dimensional regularization of Feynman diagrams: we replace the transition to lower dimensions by a 'natural' cut-off regulator. Introducing an external regulator of mass Lambda^(2e), we regain in the limit…

Nuclear Theory · Physics 2007-05-23 M. Dillig

Within the framework of the recently proposed Taylor-Lagrange regularization procedure, we reanalyze the calculation of radiative corrections in $QED$ at next to leading order. Starting from a well defined local bare Lagrangian, the use of…

High Energy Physics - Theory · Physics 2023-01-26 Jean-François Mathiot