Results 21 to 30 of about 86,518 (263)
Complexity, 2020 We investigate the behavior of the unbounded cylinder function Fx=∫0Tα1tdxt2k⋅∫0Tα2tdxt2k⋅⋯⋅∫0Tαntdxt2k, k=1,2,… whose analytic Wiener integral and analytic Feynman integral exist, we prove some relationships among the analytic Wiener integral, the ...
Kim Young Sik
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Feynman path integrals and Lebesgue–Feynman measures [PDF]
Doklady Mathematics, 2017 We call a Lebesgue-Feynman measure (LFM) any generalized measure (distribution in the sense of Sobolev and Schwartz) on a locally convex topological vector space E which is translation invariant. In the present paper, we investigate transformations of the LFM generated by transformations of the domain and also discuss the connections of these ...
Montaldi, James, Smolyanov, Oleg
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Internal reduction method for computing Feynman integrals
Journal of High Energy Physics, 2020 A new approach to compute Feynman Integrals is presented. It relies on an integral representation of a given Feynman Integral in terms of simpler ones. Using this approach, we present, for the first time, results for a certain family of non-planar five ...
Costas G. Papadopoulos +1 more
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Feynman integral reduction using Gröbner bases
Journal of High Energy Physics, 2023 We investigate the reduction of Feynman integrals to master integrals using Gröbner bases in a rational double-shift algebra Y in which the integration-by-parts (IBP) relations form a left ideal.
Mohamed Barakat +4 more
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Generalized Feynman integrals via conditional Feynman integrals.
Michigan Mathematical Journal, 1993 The paper is a continuing exercise by the authors to arrive at the most generalized version of Feynman integrals studied by Cameron and his collaborators. The starting point is the Wiener integral \(\int_{C_ 0[0,T)} F(\lambda^{-1/2} Z(x,.)+\xi) (\lambda^{-1/2} Z(x,T)+\xi)m(dx)\) where \(Z\) is the Gaussian process \(Z(x,t)=\int^ t_ 0 h(s)dx(s)\) with \(
Chung, Dong Myung +2 more
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A Feynman integral via higher normal functions [PDF]
, 2014 We study the Feynman integral for the three-banana graph defined as the scalar two-point self-energy at three-loop order. The Feynman integral is evaluated for all identical internal masses in two space-time dimensions. Two calculations are given for the
M. Kerr +5 more
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A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator
Axioms, 2022 In this paper, we define a modified and generalized analytic Feynman integral associated with the bounded linear operator on abstract Wiener spaces. We then prove its existence. We also establish some modified and generalized analytic Feynman integration
Hyun Soo Chung
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, 2022 816 pages, long write-up of a lecture course on Feynman integrals, including 136 exercises with ...
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Generalized planar Feynman diagrams: collections
Journal of High Energy Physics, 2020 Tree-level Feynman diagrams in a cubic scalar theory can be given a metric such that each edge has a length. The space of metric trees is made out of orthants joined where a tree degenerates.
Francisco Borges, Freddy Cachazo
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Feynman formulae and phase space Feynman path integrals for tau-quantization of some L\'evy-Khintchine type Hamilton functions [PDF]
, 2013 This note is devoted to representation of some evolution semigroups. The semigroups are generated by pseudo-differential operators, which are obtained by different (parametrized by a number $\tau$) procedures of quantization from a certain class of ...
G. Smolyanov +3 more
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