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This paper has been withdrawn: it has been merged with the preprint to which it refers.

Combinatorics · Mathematics 2011-11-09 Hanna Seitz , Dirk Oliver Theis

This paper was withdrawn by arXiv administrators. It is an erroneous duplicate submission of math.NA/0405095.

Numerical Analysis · Mathematics 2007-05-23 Steffen Hein

We investigate to what extent renormalization can be understood as an algebraic manipulation on concatenated one-loop integrals. We find that the resulting algebra indicates a useful connection to knot theory.

High Energy Physics - Theory · Physics 2008-02-03 Dirk Kreimer

This paper has been withdrawn to address an omission. It will be resubmitted in the near future.

High Energy Physics - Theory · Physics 2008-02-03 J. R. Shepard , J. A. McNeil

This paper has been withdrawn by the author,due a immature idea.

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

In this work we attempt to show in a clear and simple manner the fundamental ideas of the Renormalization Theory. With that intention we use two well-known problems of the Physic and Engeneering undergraduate students, the calculation of…

Physics Education · Physics 2007-05-23 Wesley Spalenza , J. Alexandre Nogueira

It's well-known that inverse problems are ill-posed and to solve them meaningfully one has to employ regularization methods. Traditionally, popular regularization methods have been the penalized Variational approaches. In recent years, the…

Machine Learning · Computer Science 2022-02-17 Abinash Nayak

The renormalization that relates a coupling "a" associated with a distinct renormalization group beta function in a given theory is considered. Dimensional regularization and mass independent renormalization schemes are used in this…

High Energy Physics - Phenomenology · Physics 2017-07-05 F. A. Chishtie , D. G. C. McKeon

This paper has been withdrawn by the author due to an error in the computation of the central charge.

High Energy Physics - Theory · Physics 2010-10-06 Reza Fareghbal

The paper has been withdrawn. The revised version is shown as cond-mat/0506752 and published in Condensed Matter Physics, vol.10, No.2(50)235-248(2007) (Lviv, Ukraine).

Mesoscale and Nanoscale Physics · Physics 2007-06-20 Mami Hamasaki

Withdrawn. Replaced by quant-ph/0308160 (cf accompanying txt file)

Quantum Physics · Physics 2007-05-23 K. A. Kirkpatrick

This paper has been withdrawn by the author due to a missing figure

This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.

Classical Analysis and ODEs · Mathematics 2007-07-24 Yong Kum Cho , Sunggeum Hong , Joonil Kim , Chan Woo Yang

This paper has been withdrawn to allow publication elsewhere.

Instrumentation and Methods for Astrophysics · Physics 2015-04-21 T. D. Carozzi , G. Woan

In the calculation of quantum-mechanical singular-potential scattering, one encounters divergence. We suggest three renormalization schemes, dimensional renormalization, analytic continuation approach, and minimal-subtraction scheme to…

Quantum Physics · Physics 2017-02-10 Wen-Du Li , Wu-Sheng Dai

In completely generic four-dimensional gauge-Yukawa theories, the renormalization group $ \beta $-functions are known to the 3-2-2 loop order in gauge, Yukawa, and quartic couplings, respectively. It does, however, remain difficult to apply…

High Energy Physics - Phenomenology · Physics 2021-01-22 Anders Eller Thomsen

This paper has been withdrawn by the author due to inconsistency of the considered working hypothesis. The consistent treatment is presented in the last publications of the author.

High Energy Physics - Theory · Physics 2007-05-23 Zahid Zakir

Apparently convergent contributions of resummed perturbative series at the next-to-leading order of the 1/N expansion in the O(N) model are reanalyzed in terms of renormalizability. Compared to our earlier article [G. Fejos et al., Phys.…

High Energy Physics - Phenomenology · Physics 2015-06-19 G. Fejos , A. Patkos , Zs. Szep

The paper has been withdrawn.

Statistical Mechanics · Physics 2007-05-23 Xavier Leoncini , Alberto D. Verga

According to the available publications, the field theoretical renormalization group (RG) approach in the two-dimensional case gives the critical exponents that differ from the known exact values. This fact was attempted to explain by the…

Statistical Mechanics · Physics 2009-11-13 A. A. Pogorelov , I. M. Suslov
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