Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/100843
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dc.contributor.authorLee, Weonjong.en
dc.contributor.authorAdams, David H.en
dc.date.accessioned2013-12-16T08:31:09Zen
dc.date.accessioned2019-12-06T20:29:15Z-
dc.date.available2013-12-16T08:31:09Zen
dc.date.available2019-12-06T20:29:15Z-
dc.date.copyright2008en
dc.date.issued2008en
dc.identifier.citationAdams, D.,& Lee, W. (2008). Structure of logarithmically divergent one-loop lattice Feynman integrals. Physical Review D, 77(4), 045010.en
dc.identifier.urihttps://hdl.handle.net/10356/100843-
dc.description.abstractFor logarithmically divergent one-loop lattice Feynman integrals I(p,a) , subject to mild general conditions, we prove the following expected and crucial structural result: I(p,a)=f(p)log(aM)+g(p)+h(p,M) up to terms which vanish for lattice spacing a→0 . Here p denotes collectively the external momenta and M is a mass scale which may be chosen arbitrarily. The f(p) and h(p,M) are shown to be universal and coincide with analogous quantities in the corresponding continuum integral when the latter is regularized either by momentum cutoff or dimensional regularization. The nonuniversal term g(p) is shown to be a homogeneous polynomial in p of the same degree as f(p) . This structure is essential for consistency between renormalized lattice and continuum formulations of QCD at one loop.en
dc.format.extent12 p.en
dc.language.isoenen
dc.relation.ispartofseriesPhysical review Den
dc.rights© 2008 The American Physical Society. This paper was published in Physical Review D and is made available as an electronic reprint (preprint) with permission of The American Physical Society. The paper can be found at the following official DOI: http://dx.doi.org/10.1103/PhysRevD.77.045010 . One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.en
dc.subjectPhysical and Mathematical Sciencesen
dc.titleStructure of logarithmically divergent one-loop lattice Feynman integralsen
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen
dc.identifier.doi10.1103/PhysRevD.77.045010en
dc.description.versionPublished versionen
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