Buch, Englisch, Band 1008, 283 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 464 g
Reihe: Lecture Notes in Physics
A Primer on Particle Physics Applications
Buch, Englisch, Band 1008, 283 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 464 g
Reihe: Lecture Notes in Physics
ISBN: 978-3-031-14271-0
Verlag: Springer International Publishing
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.
Zielgruppe
Graduate
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Quantenphysik Teilchenphysik
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
Weitere Infos & Material
Introduction.- Complex Analysis.- Mellin-Barnes Representations for Feynman and Related Integrals.- Resolution of Singularities.- Analytic Solutions.- Approximations.- Numerical Methods.