Results 31 to 40 of about 1,114,315 (242)
Algorithm FIRE—Feynman Integral REduction [PDF]
, 2008 The recently developed algorithm FIRE performs the reduction of Feynman integrals to master integrals. It is based on a number of strategies, such as applying the Laporta algorithm, the s-bases algorithm, region-bases and integrating explicitly over loop
A. Smirnov
semanticscholar +1 more source
All orders structure and efficient computation of linearly reducible elliptic Feynman integrals
Journal of High Energy Physics, 2019 We define linearly reducible elliptic Feynman integrals, and we show that they can be algorithmically solved up to arbitrary order of the dimensional regulator in terms of a 1-dimensional integral over a polylogarithmic integrand, which we call the inner
Martijn Hidding, Francesco Moriello
doaj +1 more source
Feynman Integrals for the Harmonic Oscillator in an Exponentially Growing Potential
Mathematics, 2023 We construct the Feynman integral for the Schrödinger propagator with combinations of exponentially growing and harmonic oscillator potentials as well-defined white noise functionals.
Alviu Rey Nasir +3 more
doaj +1 more source
Scalar 1-loop Feynman integrals as meromorphic functions in space-time dimension d
Physics Letters B, 2019 The long-standing problem of representing the general massive one-loop Feynman integral as a meromorphic function of the space-time dimension d has been solved for the basis of scalar one- to four-point functions with indices one. In 2003 the solution of
Khiem Hong Phan, Tord Riemann
doaj +1 more source
A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral
Entropy, 2020 We investigate the partial derivative approach to the change of scale formula for the functon space integral and we investigate the vector calculus approach to the directional derivative on the function space and prove relationships among the Wiener ...
Young Sik Kim
doaj +1 more source
Feynman formulae for solutions of Schrodinger-type equations with fourth-power polinomial potentials [PDF]
Компьютерные исследования и моделирование, 2012 The conditions for the existence of Feynman integrals in a sense of analytic continuation of the exponential functionals with a fourth-power polynomial in the index are studied, their presentations by Gaussian integrals are constructed in the paper.
Anna Konstantinovna Kravtseva
doaj +1 more source
Specializations of partial differential equations for Feynman integrals
Nuclear Physics B, 2022 Starting from the Mellin–Barnes integral representation of a Feynman integral depending on a set of kinematic variables zi, we derive a system of partial differential equations w.r.t. new variables xj, which parameterize the differentiable constraints zi=
Vladimir V. Bytev +2 more
doaj +1 more source
FIRE 6.5: Feynman integral reduction with new simplification library [PDF]
Computer Physics Communications, 2023 A. Smirnov, Mao Zeng
semanticscholar +1 more source
A massive Feynman integral and some reduction relations for Appell functions [PDF]
, 2007 New explicit expressions are derived for the one-loop two-point Feynman integral with arbitrary external momentum and masses m12 and m22 in D dimensions.
M. Shpot
semanticscholar +1 more source
Advanced Functional Materials, EarlyView.Self‐reinforcing degradation in solution‐processed small‐molecule organic light‐emitting diodes (OLEDs) arises from charge accumulation and exciton‐polaron interactions, leading to molecular aggregation and efficiency loss. This study uncovers the fundamental mechanisms behind this degradation and introduces strategic material engineering approaches ...
Eonji Cha +8 more
wiley +1 more source