Использование дифференциальных свойств обобщенных мер Лебега-Фейнмана при исследовании квантовых аномалий

Дж. Э. Гоф, Тюдор Стефан Ратью, Олег Георгиевич Смолянов

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

Crynodeb

We address the problem concerning the origin of quantum anomalies, which has been the source of disagreement in the literature. Our approach is novel as it is based on the differentiability properties of families of generalized measures. To this end, we introduce a space of test functions over a locally convex topological vector space, and define the concept of logarithmic derivatives of the corresponding generalized measures. In particular, we show that quantum anomalies are readily understood in terms of the differential properties of the Lebesgue–Feynman generalized measures (equivalently, of the Feynman path integrals). We formulate a precise definition for quantum anomalies in these terms.
Cyfieithiad o deitl y cyfraniadQuantum Anomalies via Differential Properties of Lebesgue–Feynman Generalized Measures
Iaith wreiddiolRwseg
Tudalennau (o-i)107-118
CyfnodolynТруды Математического института имени В.А. Стеклова
Cyfrol310
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 01 Hyd 2020

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