ENGLISH

Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions

By Jakob Ablinger , Johannes Blümlein (auth.) , Carsten Schneider , Johannes Blümlein (eds.)

Book information

Publisher
Springer-Verlag Wien
Year
2013
ISBN
978-3-7091-1615-9, 978-3-7091-1616-6
DOI
10.1007/978-3-7091-1616-6
Language
english
Format
PDF
Filesize
5 MB (4794016 bytes)
Series
Texts & Monographs in Symbolic Computation
Edition
1
Pages
411\422
Orientation
yes
Scanned
yes
Time added
2013-10-10 21:24:26
Elementary ParticlesQuantum Field Theory;Mathematical Physics;QuantumString Theory;Special Functions;Symbolic and Algeb

Description

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.

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