Computation of Gröbner bases for two-loop propagator type integrals

Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Volumn 534, Issue 1-2, 2004, Pages 293-298

  Tarasov, O V ^a  

^a DESY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; INTEGRAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RECURSIVE FUNCTIONS; TENSORS; TOPOLOGY;

FEYNMAN DIAGRAMS; OPTIMAL ALGORITHMS; ORE ALGEBRA;

HIGH ENERGY PHYSICS;

EID: 8344283567     PISSN: 01689002     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nima.2004.07.104     Document Type: Conference Paper

References (8)

1. O.V. Tarasov, Acta Phys. Pol. B 29 (1998) 2655.
2. F.V. Tkachov, Phys. Lett. 100 B (1981) 65; K.G. Chetyrkin, F.V. Tkachov, Nucl. Phys. B 192 (1981) 159.
3. F.V. Tkachov, Phys. Lett. 100 B (1981) 65; K.G. Chetyrkin, F.V. Tkachov, Nucl. Phys. B 192 (1981) 159.
4. O.V. Tarasov, Phys. Rev. D 54 (1996) 6479.
5. O.V. Tarasov, Nucl. Phys. B 502 (1997) 455.
6. B. Buchberger, Gröbner bases: an algorithmic method in polynomial ideal theory, in: Multidimensional Systems Theory, D. Reidel Publishing Company, Dordrecht, 1985, pp. 184-232.
7. G. t' Hooft, M. Veltman, Nucl. Phys. B 192 (1981) 159.
8. G. Reid, A. Wittkopf, A. Boulton, Eur. J. Appl. Math. 7 (1996) 635.