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Introductory Quantum Field Theory: Concepts and Applications

Introductory Quantum Field Theory: Concepts and Applications

$58.00
Author:M Siva Kumar
ISBN 13:9789390658596
Binding:Hardbound
Language:English
Year:2022
Subject:Science and Technology

About the Book

This book is aimed at readers who have their first exposure to quantum field theory. It offers conceptual foundation and application skills in the basics of quantum field theory. It deals with quantum electrodynamics applying operator methods. Still, it provides a modern approach to quantum field theory i.e. to understand even successful theories, like quantum electrodynamics, as "effective field theories". It has sufficient material for a one-semester introductory course and well-suited for self-study. Chapters such as "Towards fields" and "Towards quantisation of fields", offer a lucid introduction for the beginners. All the intermediate steps are displayed throughout. Additional features include, learning outcomes at the end of each chapter, worked exercises throughout and problems at the end of the chapters. The book contains several tables to compare and contrast concepts and also includes necessary background materials. Some chapters/sections can effectively be used as supplementary material in courses such as the special theory of relativity, relativistic quantum mechanics, Lie groups, many-body theory, and advanced statistical mechanics. Special topics discussed include unitary irreducible representation of the Poincare group, Majarona field quantisation, Kallen-Lehmann spectral representation, modern interpretation of renormalization, and outline of effective field theory. Contents: 1 Relativity and One-Particle States 2 Towards Fields 3 Elements of Classical Field Theory 4 Towards Quantisation of Fields 5 Quantisation of The Scalar Field 6 Scattering Theory 7 Lorentz and Poincare Group Representations 8 Quantisation of Spinor Fields 9 Quantisation of Vector Fields 10 Discrete Symmetries 11 Lowest Order Processes of QED 12 Formal Developments 13 Introducing Regularization and Renormalization 14 QED: One-Loop Renormalization15 General Renormalization Theory 16 The Renormalization Group About the Author: M. Sivakumar is currently an Honorary Professor at the School of Physics in the University of Hyderabad. He joined the University as a lecturer in 1990 and retired as a professor in 2021. He completed his Ph.D. from the Department of Theoretical Physics, University of Madras in theoretical particle physics. His research interest spans several areas of theoretical physics. including mathematical physics, general relativity, classical field theory. and quantum field theory with relevance to high energy physics and condensed matter physics. He has to his credit numerous research papers published in several international journals and has also co-edited a book in the series "Surveys in Theoretical High Energy Physics". He has taught undergraduate, postgraduate, and Ph.D. courses, a wide spectrum of subjects for more than three decades. He has been a visiting scientist at several reputed universities and institutes abroad. His recognitions include Associateship at the Abdus Salam International Centre for Theoretical Physics. Trieste. Italy, and is a Fellow of the Andhra Pradesh Academy of Sciences and Telangana Academy of Sciences. He is on the editorial board of the Journal of Physics Education, Pune. He is the chief coordinator of a national-level program "Physics Training and Talent Search", organized in association with the Infosys Science Foundation.