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This manuscript has been withdrawn due to less meaning.

High Energy Physics - Phenomenology · Physics 2007-05-23 Yong Zhou

Although the results are correct, it was pointed out that the results follow from some previously known results. Accordingly, this version of the paper is withdrawn by the authors.

Computational Complexity · Computer Science 2012-12-03 Bhaskar DasGupta , Lakshmi Kaligounder

For renormalizable theories with a single coupling constant regularized by higher derivatives we investigate the coefficients at powers of logarithms present in the renormalization constants assuming that divergences are removed by minimal…

High Energy Physics - Theory · Physics 2022-10-14 Nikolai Meshcheriakov , Victoria Shatalova , Konstantin Stepanyantz

This paper has been withdrawn by the author due to a crucial sign error in equation 2 and some mistake in Table 1 information. please let me for changing this information and updating this paper.

Computer Vision and Pattern Recognition · Computer Science 2014-08-15 Reza Azad , Fatemeh Davami , Hamid Reza Shayegh

This PhD thesis is devoted to show that differential renormalization is a simple and useful renormalization method that we can use when dealing with gauge theories. In this work, it is shown how the one-loop results of Constraint…

High Energy Physics - Theory · Physics 2007-06-27 Cesar Seijas

This paper has been withdrawn due to fundamental errors.

Strongly Correlated Electrons · Physics 2008-03-20 Kelly R. Patton

The renormalization algorithm based on regularization methods with two regulators is analyzed by means of explicit computations. We show in particular that regularization by higher covariant derivative terms can be complemented with…

High Energy Physics - Theory · Physics 2009-10-28 C. P. Martin , F. Ruiz Ruiz

This is a resubmission of preprint 9401008 , which has some TeXnical errors introduced by the "reform" procedure (designed to avoid precisely these problems!). The original can be formatted by editing out the messages "%% following line…

alg-geom · Mathematics 2008-02-03 Steven B. Bradlow , Oscar Garcia-Prada

This paper has been withdrawn by the author. Much simpler proof of the main result was obtained which led to major changes in the presentation.

General Topology · Mathematics 2009-11-09 A. Chigogidze

In this technical note we introduce a manifestly gauge-invariant and supersymmetric procedure to regularize and renormalize one-loop divergences of chiral multiplets in two-dimensional N=(2,2) theories in curved spacetime. We apply the…

High Energy Physics - Theory · Physics 2018-01-17 Takuya Okuda

This paper is currently withdrawn and is being revised by the authors.

Strongly Correlated Electrons · Physics 2009-11-11 Z. Vörös , O. Berman , D. W. Snoke , L. Pfeiffer , K. West

In this paper, we employ contour integration and residue calculus to derive explicit parity formulas for (cyclotomic) multiple zeta values (MZVs). A key innovation lies in applying double shuffle regularization to the contour integrals,…

Number Theory · Mathematics 2026-01-09 Jia Li , Ce Xu

For some years there has been uncertainty over whether regularisation by dimensional reduction (DRED) is viable for non-supersymmetric theories. We resolve this issue by showing that DRED is entirely equivalent to standard dimensional…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. Jack , D. R. T. Jones , K. L. Roberts

This paper has been withdrawn by the authors. It contains several errors that the authors believe can still be corrected. However one of the authors strongly disagrees with the setup proposed here. A new version is in progress. The authors…

High Energy Physics - Theory · Physics 2007-05-23 P. Castelo Ferreira , P. Vargas Moniz

We present a family of non-local variational regularization methods for solving tomographic problems, where the solutions are functions with range in a closed subset of the Euclidean space, for example if the solution only attains values in…

Optimization and Control · Mathematics 2019-11-18 Melanie Melching , Otmar Scherzer

In this paper we consider a family of multiple Hurwitz zeta values with bi-indices parameterized by $\mu$ with $\Ree(\mu)>0$. These values are equipped with both the $\mu$-stuffle product from their series definition and the shuffle product…

Number Theory · Mathematics 2024-02-20 Jia Li , Jianqiang Zhao

We introduce a generalization of the conventional renormalization schemes used in dimensional regularization, which illuminates the renormalization scheme and scale ambiguities of pQCD predictions, exposes the general pattern of…

High Energy Physics - Phenomenology · Physics 2013-06-20 Matin Mojaza , Stanley J. Brodsky , Xing-Gang Wu

This paper has been withdrawn

History and Overview · Mathematics 2010-05-18 Giorgio Spada

The paper is withdrawn because the analysis appeared to be incomplete.

High Energy Physics - Theory · Physics 2007-05-23 Ludger Hannibal , Carl von Ossietzky

Multiparticle production in (2+1) dimensions is investigated. We show that in a small region around the threshold the perturbation theory becomes unapplicable due to infrared divergencies in a class of Feynman graphs with rescattering in…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. A. Rubakov , D. T. Son