Lectures on Graph Theory Insights into Feynman Diagrams /

This book introduces foundational topics such as group theory, fields, linear algebra, matrix theory, and graph theory, providing readers with the essential background needed to understand Feynman diagrams and their integral representations. The book highlights Feynman's parametrization as a ce...

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Detaylı Bibliyografya
Yazar: Sameshima, Ray D. (Yazar)
Müşterek Yazar: SpringerLink (Online service)
Materyal Türü: Elektronik Ekitap
Dil:İngilizce
Baskı/Yayın Bilgisi: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Edisyon:1st ed. 2025.
Seri Bilgileri:Lecture Notes in Physics, 1035
Konular:
Online Erişim:https://doi.org/10.1007/978-3-031-82218-6
Etiketler: Etiketle
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Diğer Bilgiler
Özet:This book introduces foundational topics such as group theory, fields, linear algebra, matrix theory, and graph theory, providing readers with the essential background needed to understand Feynman diagrams and their integral representations. The book highlights Feynman's parametrization as a central tool for studying Feynman integrals, starting with the traditional momentum representation. Schwinger and Lee-Pomeransky parametrizations are covered in a supplementary chapter. Readers will develop a clear understanding of the mathematical properties and practical applications of these techniques, with a particular emphasis on Feynman’s approach. Advanced topics such as integration-by-parts identities and intersection number theory are explored in the final chapter, offering readers a gateway to key mathematical structures. The prerequisites are minimal—only a basic familiarity with algebra and calculus is recommended. The content begins with introductory concepts and gradually progresses to more advanced material, ensuring a balanced learning curve. Practical examples throughout the book reinforce the main ideas, allowing readers to apply what they’ve learned and deepen their understanding as they move through the material. .
Fiziksel Özellikler:1 online resource (XIII, 270 p. 124 illus.).
ISBN:9783031822186
ISSN:1616-6361 ;
DOI:10.1007/978-3-031-82218-6