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Computer Algebra in Quantum Field Theory Integration, Summation and Special Functions /
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 diffe...
| Clasificación: | Libro Electrónico |
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| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Vienna :
Springer Vienna : Imprint: Springer,
2013.
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| Edición: | 1st ed. 2013. |
| Colección: | Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Harmonic sums, polylogarithms, special numbers, and their generalizations
- Multiple Zeta values and modular forms in quantum field theory
- Computer-assisted proofs of some identities for Bessel functions of fractional order
- Conformal methods for massless Feynman integrals and large Nf methods
- The holonomic toolkit
- Orthogonal polynomials
- Creative telescoping for holonomic functions
- Renormalization and Mellin transforms
- Relativistic Coulomb integrals and Zeilberger's holonomic systems approach
- Hypergeometric functions in Mathematica
- Solving linear recurrence equations with polynomial coefficients
- Generalization of Risch's algorithms to special functions
- Multiple hypergeometric series
- Appell series and beyond
- Simplifying multiple sums in difference fields
- Potential of FORM 4.0
- Feynman graphs.