Picard-Fuchs Equations for Feynman Integrals
- Publication type:
- Journal article
- Metadata:
-
- Autoren
- Stefan Mueller-Stach
- Stefan Weinzierl
- Raphael Zayadeh
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000330989800011&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1007/s00220-013-1838-3
- eISSN
- 1432-0916
- Externe Identifier
- Clarivate Analytics Document Solution ID: AA3JX
- ISSN
- 0010-3616
- Ausgabe der Veröffentlichung
- 1
- Zeitschrift
- COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Paginierung
- 237 - 249
- Datum der Veröffentlichung
- 2014
- Status
- Published
- Titel
- Picard-Fuchs Equations for Feynman Integrals
- Sub types
- Article
- Ausgabe der Zeitschrift
- 326
Data source: Web of Science (Lite)
- Other metadata sources:
-
- Autoren
- Stefan Müller-Stach
- Stefan Weinzierl
- Raphael Zayadeh
- DOI
- 10.1007/s00220-013-1838-3
- eISSN
- 1432-0916
- ISSN
- 0010-3616
- Ausgabe der Veröffentlichung
- 1
- Zeitschrift
- Communications in Mathematical Physics
- Sprache
- en
- Online publication date
- 2013
- Paginierung
- 237 - 249
- Datum der Veröffentlichung
- 2014
- Status
- Published
- Herausgeber
- Springer Science and Business Media LLC
- Herausgeber URL
- http://dx.doi.org/10.1007/s00220-013-1838-3
- Datum der Datenerfassung
- 2022
- Titel
- Picard–Fuchs Equations for Feynman Integrals
- Ausgabe der Zeitschrift
- 326
Data source: Crossref
- Abstract
- We present a systematic method to derive an ordinary differential equation for any Feynman integral, where the differentiation is with respect to an external variable. The resulting differential equation is of Fuchsian type. The method can be used within fixed integer space-time dimensions as well as within dimensional regularisation. We show that finding the differential equation is equivalent to solving a linear system of equations. We observe interesting factorisation properties of the D-dimensional Picard-Fuchs operator when D is specialised to integer dimensions.
- Autoren
- Stefan Müller-Stach
- Stefan Weinzierl
- Raphael Zayadeh
- Autoren-URL
- http://arxiv.org/abs/1212.4389v2
- Schlüsselwörter
- hep-ph
- hep-ph
- math-ph
- math.AG
- math.MP
- Notes
- 15 pages, version to be published
- Datum der Veröffentlichung
- 2012
- Herausgeber URL
- http://dx.doi.org/10.1007/s00220-013-1838-3
- Datum der Datenerfassung
- 2012
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2012
- Titel
- Picard-Fuchs equations for Feynman integrals
Files
1212.4389v2.pdf
Data source: arXiv
- Beziehungen:
-