منابع مشابه
On Overlapping Divergences
Using set-theoretic considerations, we show that the forest formula for overlapping divergences comes from the Hopf algebra of rooted trees. Motivation and Introduction The process of renormalization is governed by the forest formula, as derived for example in [1]. The underlying combinatorics is directly related to the Hopf algebra structure of rooted trees. This is evident in the case of Feyn...
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We describe a framework to build distances by measuring the tightness of inequalities, and introduce the notion of proper statistical divergences and improper pseudo-divergences. We then consider the Hölder ordinary and reverse inequalities, and present two novel classes of Hölder divergences and pseudo-divergences that both encapsulate the special case of the Cauchy-Schwarz divergence. We repo...
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A new integration technique for multi-loop Feynman integrals, called the matrix method, is developed and then applied to the divergent part of the overlapping two-loop quark self-energy function iΣ in the light-cone gauge n·A(x) = 0, n = 0. It is shown that the coefficient of the double-pole term is strictly local, even off mass-shell, while the coefficient of the single-pole term contains loca...
متن کاملA short lecture on Divergences
We present some clues to the study of the renormalization group, at graduate level, as well as some bibliographical pointers to classical resources. Just the kind of things one had liked to hear when starting to
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Abstract The choice, aggregation, weighting, and interactions of divergences, a natural metric of contrasts in the exponential family, is outlined from our experiences in applied genetics.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1999
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200050661