Computer Algebra in Quantum Field Theory

Computer Algebra in Quantum Field Theory

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The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.Integration, Summation and Special Functions Carsten Schneider, Johannes BlA¼mlein. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 19. ... 157(1), 3a€“33 (1996) Chen, S., Kauers, M.: Order-degree curves for hypergeometric creative ... 46(8), 889a€“ 903 (2011) Jaroschek, M., Kauers, M., Chen, S., Singer, M.F.: Desingularization explains order-degree curves for Ore operators. ... Ph.D. thesis, RISCLinz, Johannes Kepler Universit Iˆat Linz (2009) Koutschan, C.: HolonomicFunctions ( Usera#39;s Guide).

Title:Computer Algebra in Quantum Field Theory
Author: Carsten Schneider, Johannes Blümlein
Publisher:Springer Science & Business Media - 2013-10-05

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