Results 31 to 40 of about 86,270 (268)
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
Hypergeometric feynman integrals
, 2023 In this thesis we will study Feynman integrals from the perspective of A-hypergeometric functions, a generalization of hypergeometric functions which goes back to Gelfand, Kapranov, Zelevinsky (GKZ) and their collaborators. This point of view was recently initiated by the works [74] and [150].
openaire +4 more sources
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
Nonlinear Young integrals via fractional calculus [PDF]
, 2015 For H\"older continuous functions $W(t,x)$ and $\varphi_t$, we define nonlinear integral $\int_a^b W(dt, \varphi_t)$ via fractional calculus. This nonlinear integral arises naturally in the Feynman-Kac formula for stochastic heat equations with random ...
D Feyel +6 more
core +2 more sources
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
Feynman-Jackson integrals [PDF]
Journal of Nonlinear Mathematical Physics, 2006 We introduce perturbative Feynman integrals in the context of q-calculus generalizing the Gaussian q-integrals introduced by Diaz and Teruel. We provide analytic as well as combinatorial interpretations for the Feynman-Jackson integrals.
Díaz, Rafael, Pariguan, Eddy
openaire +2 more sources
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
Physical Review DWe 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.
Gambuti, Giulio +3 more
openaire +3 more sources
Duality and zero-point length of spacetime [PDF]
, 1996 The action for a relativistic free particle of mass $m$ receives a contribution $-mds$ from a path segment of infinitesimal length $ds$. Using this action in a path integral, one can obtain the Feynman propagator for a spinless particle of mass $m$.
A. Ashtekar +7 more
core +2 more sources