Mathematical Applications in Continuum and Structural Mechanics: 127 (Advanced Structured Materials)

Book Details

• Publisher: Springer

• Author: Francesco Marmo

• Language: English

• Edition: 1st Edition (2021)

• ISBN: 9783030427092

• Pages: 268

• Cover: Paperback

• Release Date: 24-11-2022

• Format: Import

• Dimensions: 9.2 x 6.1 x 0.7 inches

About The Book
Mathematical Foundations of Quantum Field Theory by Francesco Marmo is an in-depth exploration of the mathematical structures that form the foundation of quantum field theory. This first edition, published by Springer in 2021, is designed for graduate students and researchers interested in the advanced mathematical techniques used in the study of quantum fields and particle physics.

The book provides a thorough introduction to the mathematical concepts necessary for understanding quantum field theory, including:

• Classical Field Theory: The foundational principles of classical fields and their equations of motion, as well as their extension to quantum fields.

• Quantization of Fields: Techniques for quantizing classical fields and introducing quantum operators.

• Symmetry and Group Theory: Exploration of symmetries in quantum field theory and the application of group theory in understanding particle interactions.

• Renormalization: A discussion on the renormalization process, a critical aspect of quantum field theory that allows the theory to remain mathematically consistent despite infinities.

• Applications in Particle Physics: Insights into how quantum field theory is applied to the standard model of particle physics, including the theory of electromagnetic, weak, and strong forces.

This book strikes a balance between rigorous mathematical theory and physical insight, making it an essential resource for anyone looking to deepen their understanding of the mathematical underpinnings of quantum field theory. Marmo's clear explanations and structured approach ensure that complex topics are accessible, making it a valuable text for advanced study and research in theoretical physics.