New Techniques for Worldline Integration
Abstract
The worldline formalism provides an alternative to Feynman diagrams in the construction of amplitudes and effective actions that shares some of the superior properties of the organization of amplitudes in string theory. In particular, it allows one to write down integral representations combining the contributions of large classes of Feynman diagrams of different topologies. However, calculating these integrals analytically without splitting them into sectors corresponding to individual diagrams poses a formidable mathematical challenge. We summarize the history and state of the art of this problem, including some natural connections to the theory of Bernoulli numbers and polynomials and multiple zeta values.
Publication Date
2021-07-03
Publication Title
Symmetry, Integrability and Geometry: Methods and Applications
Embargo Period
9999-12-31
Recommended Citation
Edwards, J.,
Mata, C.,
Müller, U.,
&
Schubert, C.
(2021)
'New Techniques for Worldline Integration',
Symmetry, Integrability and Geometry: Methods and Applications, .
Available at: 10.3842/sigma.2021.065" >https://doi.org/10.3842/sigma.2021.065
