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Lectures on graph theory = insights into Feynman diagrams /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Lectures on graph theory/ by Ray D. Sameshima.
其他題名:	insights into Feynman diagrams /
作者:	Sameshima, Ray D.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xiii, 270 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Theoretical, Mathematical and Computational Physics. -
電子資源:	https://doi.org/10.1007/978-3-031-82218-6
ISBN:	9783031822186

Lectures on graph theory = insights into Feynman diagrams /
Sameshima, Ray D.

Lectures on graph theoryinsights into Feynman diagrams /[electronic resource] :by Ray D. Sameshima. - Cham :Springer Nature Switzerland :2025. - xiii, 270 p. :ill., digital ;24 cm. - Lecture notes in physics,v. 10351616-6361 ;. - Lecture notes in physics ;777 .

Introduction: what are Feynman Integrals? -- Algebraic Preliminaries -- Graph Theory 101 -- Graph Theory 102 -- Feynman Integrals in Schwinger-Feynman-Lee-Pomeransky Representations -- Advanced Topics -- Appendices -- Index.

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.

ISBN: 9783031822186

Standard No.: 10.1007/978-3-031-82218-6doiSubjects--Topical Terms:

768900
Theoretical, Mathematical and Computational Physics.

LC Class. No.: QA166

Dewey Class. No.: 511.5

Lectures on graph theory = insights into Feynman diagrams /
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520 $a 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.
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