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Results of evaluating the leading order $\alpha_s$ corrections to the correlator of tensor currents in pure gluodynamics are presented. These corrections to the parton result for the correlator are not large numerically that allows one to…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. A. Pivovarov

We correct an important misprint in the journal version of our earlier work on "New Jet Cluster Algorithms: Next-to-leading Order QCD...", published in Nucl. Phys. B 370 (1992) 310, which may have lead to an incorrect parametrisation of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Bethke , Z. Kunszt , D. E. Soper , W. J. Stirling

We give the results for all the one-loop propagators, including finite parts, in the Coulomb gauge. In finite parts we find new non-rational functions in addition to the single logarithms of the Feynman gauge. Of course, the two gauges must…

High Energy Physics - Theory · Physics 2012-06-04 A. Andraši

This note corrects Example 3.2 in Two-Variable Wiman-Valiron Theory and PDEs by the authors which appeared in Ann. Acad. Sci. Fenn Math. (35) (2010), 571-580.

Complex Variables · Mathematics 2010-10-01 P. C. Fenton , John Rossi

Errata for MNRAS 330, 821 (2002, astro-ph/0111084). A notation error in Eq. 7 and some typos in Table 3 corrected.

Astrophysics · Physics 2009-11-07 C. Lia , L. Portinari , G. Carraro

We correct a mistake in the paper with the mentioned title and reference: Calc. Var. Partial Differential Equations 58 (2019), no. 1, 58:21. It corresponds with the preprint arXiv:1712.04727.

Differential Geometry · Mathematics 2020-04-06 Antonio Alarcon , Ildefonso Castro-Infantes , Francisco J. Lopez

This note points out a gap in the proof of one of the technical results in the paper "Asymptotic Invariants of Base Loci", that appeared in Ann. Inst. Fourier (Grenoble) 56 (2006), 1701-1734. We provide a correct proof of this result.

Algebraic Geometry · Mathematics 2023-10-02 Lawrence Ein , Robert Lazarsfeld , Mircea Mustata , Michael Nakamaye , Mihnea Popa

Gluon, ghost, and quark propagators are computed in the Schwinger-Dyson formalism. The full set of one-loop and two-loop contributions to the gap equations are evaluated for the first time. A new and efficient method for dealing with…

High Energy Physics - Phenomenology · Physics 2014-09-05 Joseph Meyers , Eric S. Swanson

This note points out a gap in the proof of the main theorem of the article "Birationally rigid hypersurfaces" published in Invent. Math. 192 (2013), 533-566, and provides a new proof of the theorem.

Algebraic Geometry · Mathematics 2016-04-20 Tommaso de Fernex

This is an erratum to an earlier paper, "Generalizations of the Poincar\'e-Birkhoff theorem." An error in the statement of one of the theorems is corrected.

Dynamical Systems · Mathematics 2007-05-25 John Franks

The original versions (1 and 2) of this paper paper contain a fatal error. All my attempts to patch the error have failed. As a service to the community I explain the error in some detail.

Quantum Physics · Physics 2015-06-03 Mladen Pavicic

This erratum corrects a number of formulae containing mistakes in the paper 'Luminosity function, sizes and FR dichotomy of radio-loud AGN', 2007, MNRAS, v. 381, p.1548. The corrections do not alter any of the conclusions in the original…

Astrophysics · Physics 2009-11-13 Christian R. Kaiser , Philip N. Best

A brief overview of some recent publications related to the evaluation of two-loop Feynman diagrams is given. (Talk given at the International Symposium on Radiative Corrections CRAD96, Cracow, Poland, 1--5 August 1996)

High Energy Physics - Phenomenology · Physics 2011-04-15 Andrei I. Davydychev

The Gr\"obner basis technique for calculating Feynman diagrams proposed in [O.V. Tarasov, Acta Physica Polonica, v. B29 (1998) 2655] is applied to the two-loop propagator type integrals with arbitrary masses and momentum. We describe the…

High Energy Physics - Phenomenology · Physics 2009-11-10 O. V. Tarasov

This paper provides some comprehensive calculations supporting the results in Phys. Rev. Lett. 100, 130601 (2008) [arXiv:0711.1758].

Statistical Mechanics · Physics 2008-03-31 M. van den Broek , C. Van den Broeck

Erratum for paper "Light-induced desorption of alkali-metal atoms from paraffin coating" [Phys. Rev. A 66, 042903 (2002).

Atomic Physics · Physics 2009-11-10 E. B. Alexandrov , M. V. Balabas , D. Budker , D. English , D. F. Kimball , C. -H. Li , V. V. Yashchuk

Erratum to "From Uncertainty Principles to Wegner Estimates".

Mathematical Physics · Physics 2015-06-11 Peter Stollmann

The coefficient functions of the gluon condensate $<G^2>$, in the correlators of heavy-quark vector, axial, scalar and pseudoscalar currents, are obtained analytically, to two loops, for all values of $z=q^2/4m^2$. In the limiting cases…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. J. Broadhurst , P. A. Baikov , V. A. Ilyin , J. Fleischer , O. V. Tarasov , V. A. Smirnov

We correct two errors in our previous computation of one-loop corrections to the vortex string tension: (i) the contribution of the longitudinal and timelike modes of the gauge fields were forgotten and are included now; (ii) a trivial…

High Energy Physics - Theory · Physics 2011-11-10 Jurgen Baacke , Nina Kevlishvili