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Title | Mellin-Barnes Integrals : A Primer on Particle Physics Applications |
Author(s) | Dubovyk, Ievgen;Gluza, Janusz;Somogyi, G??bor |
Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. |
Description | XVIII, 283 p. 21 illus. in color : online resource |
Abstract Note | In this book, the authors discuss the Mellin-Barnes representation of complex multidimensional integrals. Experiments frontiered by the High-Luminosity Large Hadron Collider at CERN and future collider projects demand the development of computational methods to achieve the theoretical precision required by experimental setups. In this regard, performing higher-order calculations in perturbative quantum field theory is of paramount importance. The Mellin-Barnes integrals technique has been successfully applied to the analytic and numerical analysis of integrals connected with virtual and real higher-order perturbative corrections to particle scattering. Easy-to-follow examples with the supplemental online material introduce the reader to the construction and the analytic, approximate, and numeric solution of Mellin-Barnes integrals in Euclidean and Minkowskian kinematic regimes. It also includes an overview of the state-of-the-art software packages for manipulating and evaluating Mellin-Barnes integrals. The book is meant for advanced students and young researchers to master the theoretical background needed to perform perturbative quantum field theory calculations |
ISBN,Price | 9783031142727 |
Keyword(s) | 1. Applications of Mathematics
2. EBOOK
3. EBOOK - SPRINGER
4. Elementary particles (Physics)
5. Elementary Particles, Quantum Field Theory
6. FUNCTIONS OF COMPLEX VARIABLES
7. MATHEMATICAL PHYSICS
8. MATHEMATICS
9. QUANTUM FIELD THEORY
10. Several Complex Variables and Analytic Spaces
11. Theoretical, Mathematical and Computational Physics
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Item Type | Book |
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Call# | Status | Issued To | Return Due On | Physical Location |
I12461 |
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