Results 11 to 20 of about 86,518 (263)
Continuous-Discrete Path Integral Filtering
Entropy, 2009 A summary of the relationship between the Langevin equation, Fokker-Planck-Kolmogorov forward equation (FPKfe) and the Feynman path integral descriptions of stochastic processes relevant for the solution of the continuous-discrete filtering problem is ...
Bhashyam Balaji
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GKZ hypergeometric systems of the four-loop vacuum Feynman integrals [PDF]
Journal of High Energy PhysicsBasing on Mellin-Barnes representations and Miller’s transformation, we present the Gel’fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems of 4-loop vacuum Feynman integrals with arbitrary masses. Through the GKZ hypergeometric systems, the analytical
Hai-Bin Zhang, Tai-Fu Feng
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Finite Feynman Integrals [PDF]
Physical Review D, 2023 We describe an algorithm to organize Feynman integrals in terms of their infrared properties. Our approach builds upon the theory of Landau singularities, which we use to classify all configurations of loop momenta that can give rise to infrared divergences.
Giulio Gambuti +3 more
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Equivariance, Variational Principles, and the Feynman Integral [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral.
George Svetlichny
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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
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Cluster Algebras for Feynman Integrals [PDF]
Physical Review Letters, 2021 Published by APS, College Park, Md.
Chicherin, Dmitry +2 more
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On epsilon factorized differential equations for elliptic Feynman integrals
Journal of High Energy Physics, 2022 In this paper we develop and demonstrate a method to obtain epsilon factorized differential equations for elliptic Feynman integrals. This method works by choosing an integral basis with the property that the period matrix obtained by integrating the ...
Hjalte Frellesvig
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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
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Integral equation characterization of the Feynman–Kac formula for a regime-switching diffusion
Results in Applied Mathematics, 2020 In this paper, we provide an integral equation characterization of the solution to a Cauchy problem associated to the Feynman–Kac formula for a regime-switching diffusion.
Adriana Ocejo
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Integrability for Feynman integrals
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 ...
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