Results 11 to 20 of about 86,270 (268)
Integrability for Feynman integrals [PDF]
SciPost Physics Proceedings, 2023 We give a brief overview of the Yangian symmetry of Feynman integrals. After a short introduction to the Yangian and integrability, we motivate the emergence of integrable structures for Feynman integrals via the fishnet limit of AdS/CFT. We discuss the resulting Yangian differential equations for massless fishnets in four dimensions as well as ...
Florian Loebbert
openalex +4 more sources
Operator-valued Feynman integrals via conditional Feynman integrals [PDF]
Pacific Journal of Mathematics, 1990 The authors define a ``conditional integral of Feynman'' which plays the same role as the conditional expectation with regard to the Wiener integral. Then they use a conditional integral to calculate the Feynman integrals (kind of operational integral of Feynman) of different functions. The proofs are carefully developed.
Dong Myung Chung +2 more
openalex +4 more sources
Cluster Algebras for Feynman Integrals [PDF]
Physical Review Letters, 2021 Published by APS, College Park, Md.
Chicherin, Dmitry +2 more
openaire +7 more sources
Feynman integrals of Grassmannians
Physical Review D, 2022 We embed Feynman integrals in the subvarieties of Grassmannians through homogenization of the integrands in projective space, then obtain GKZ-systems satisfied by those scalar integrals. The Feynman integral can be written as linear combinations of the hypergeometric functions of a fundamental solution system in neighborhoods of regular singularities ...
Feng, Tai-Fu +2 more
openaire +2 more sources
Feynman integrals with absorbing boundaries [PDF]
Physics Letters A, 1998 4 pages ...
A. Marchewka, Z. Schuss
openalex +4 more sources
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
openaire +3 more sources
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
openaire +2 more sources
Feynman--Kac formula for the heat equation driven by fractional noise with Hurst parameter $H<1/2$ [PDF]
, 2012 In this paper, a Feynman-Kac formula is established for stochastic partial differential equation driven by Gaussian noise which is, with respect to time, a fractional Brownian motion with Hurst parameter ...
Hu, Yaozhong, Lu, Fei, Nualart, David
core +2 more sources
, 2022 816 pages, long write-up of a lecture course on Feynman integrals, including 136 exercises with ...
openaire +3 more sources
Reduction to master integrals via intersection numbers and polynomial expansions
Journal of High Energy Physics, 2023 Intersection numbers are rational scalar products among functions that admit suitable integral representations, such as Feynman integrals. Using these scalar products, the decomposition of Feynman integrals into a basis of linearly independent master ...
Gaia Fontana, Tiziano Peraro
doaj +1 more source