Results 11 to 20 of about 1,114,315 (242)
Deep Learning for Feynman's Path Integral in Strong-Field Time-Dependent Dynamics. [PDF]
Physical Review Letters, 2020 Feynman's path integral approach is to sum over all possible spatiotemporal paths to reproduce the quantum wave function and the corresponding time evolution, which has enormous potential to reveal quantum processes in the classical view.
Xiwang Liu +8 more
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Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space [PDF]
Journal of High Energy Physics, 2019 It has recently been demonstrated that Feynman integrals relevant to a wide range of perturbative quantum field theories involve periods of Calabi-Yau manifolds of arbitrarily large dimension.
J. Bourjaily +5 more
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Deriving canonical differential equations for Feynman integrals from a single uniform weight integral [PDF]
Journal of High Energy Physics, 2020 Differential equations are a powerful tool for evaluating Feynman integrals. Their solution is straightforward if a transformation to a canonical form is found. In this paper, we present an algorithm for finding such a transformation.
C. Dlapa, J. Henn, K. Yan
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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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Feynman integral relations from parametric annihilators [PDF]
Letters in Mathematical Physics, 2017 We study shift relations between Feynman integrals via the Mellin transform through parametric annihilation operators. These contain the momentum space integration by parts relations, which are well known in the physics literature.
Thomas Bitoun +3 more
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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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Local mirror symmetry and the sunset Feynman integral [PDF]
, 2016 We study the sunset Feynman integral defined as the scalar two-point self-energy at two-loop order in a two dimensional space-time. We firstly compute the Feynman integral, for arbitrary internal masses, in terms of the regulator of a class in the ...
S. Bloch, M. Kerr, P. Vanhove
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A Feynman integral via higher normal functions [PDF]
Compositio Mathematica, 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
S. Bloch, M. Kerr, P. Vanhove
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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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