Published April 11, 1997
| Version v1
Journal article
Algebraic algorithms for multiloop calculations The first 15 years. What's next?
Creators
- 1. Rossijskaya Akademiya Nauk, Moscow (Russian Federation). Inst. Yadernykh Issledovanij
Description
The ideas behind the concept of algebraic (''integration-by-parts'') algorithms for multiloop calculations are reviewed. For any topology and mass pattern, a finite iterative algebraic procedure is proved to exist which transforms the corresponding Feynman-parametrized integrands into a form that is optimal for numerical integration, with all the poles in D-4 explicitly extracted. (orig.)
Additional details
Publishing Information
- Journal Title
- Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment
- Journal Volume
- 389
- Journal Issue
- 1-2
- Journal Page Range
- p. 309-313.
- ISSN
- 0168-9002
- CODEN
- NIMAER
Conference
- Title
- Software engineering, neural nets, genetic algorithms, expert systems, symbolic algebra, automatic calculations (AIHENP-5).
- Acronym
- 5. international workshop on new computing techniques in physics research
- Dates
- 2-6 Sep 1996.
- Place
- Lausanne (France).
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 28055663
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ALGEBRA; ALGORITHMS; FEYNMAN DIAGRAM; FEYNMAN PATH INTEGRAL; FOUR-DIMENSIONAL CALCULATIONS; INTEGRAL CALCULUS; ITERATIVE METHODS; NUMERICAL SOLUTION; OPTIMIZATION; RENORMALIZATION; SINGULARITY; TOPOLOGY
- Descriptors DEC
- CALCULATION METHODS; DIAGRAMS; INFORMATION; INTEGRALS; MATHEMATICS