Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions

Feynman path integrals on phase space and the metaplectic representation

Beam spread functions calculated using Feynman path integrals

A method of solving the radiative transfer equation using Feynman path integrals (FPIs) is discussed. The FPI approach is a mathematical framework for computing multiple scattering in participating media. Its numerical behavior is not well known, and techniques are being developed to solve the FPI approach numerically. A missing numerical technique is detailed and used to calculate beam spread ...

On the Periods of Some Feynman Integrals

We define some families of graphs and show that their graph hypersurfaces relative to coordinate simplices define mixed Tate motives. We show that the corresponding Feynman integrals evaluate to multiple zetas. Let G be a connected graph. To each edge e ∈ EG associate a variable αe, known as a Schwinger parameter, and consider the graph polynomial

Some methods to evaluate complicated Feynman integrals

Last years there was an essential progress in calculations of Feynman integrals. It seems that most important results have been obtained for two-loop four-point massless Feynman diagrams: in on-shall case (see [1,2]) and for a class of offshall legs (see [3]). A review of the results can be found in [4]. Moreover, very recently results for a class of these diagrams have been obtained [5] in the...

Some recent results on evaluating Feynman integrals

where ki, i = 1, . . . , h, are loop momenta and the denominators Er are either quadratic of linear with respect to ki and external momenta q1, . . . , qN . By default, the integrals are dimensionally regularized with d = 4− 2ǫ. If the number of Feynman integrals needed for a given calculation is small or/and they are simple, one evaluates, by some methods, every scalar Feynman integral of the ...