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omephy
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I am reading QFT from Srednicki's book. In the 2nd chapter of this book and in the spin half part of this book, group theory and group representation theory is used. Can you suggest me a book from where I can learn this?
Group theory is a mathematical framework used to study the symmetry of physical systems. In quantum field theory (QFT), group theory is used to describe the symmetries of particles and their interactions, which are fundamental to understanding the behavior of matter and energy at the smallest scales.
Some key concepts and principles of group theory used in QFT include group structure and operations, group representations, Lie groups, and the relationship between symmetry transformations and conserved quantities.
Some popular books on group theory for QFT include "Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra" by Eugene Wigner, "Lie Algebras in Particle Physics" by Howard Georgi, and "Group Theory for High Energy Physicists" by Yuval Ne'eman.
By understanding the principles and concepts of group theory, you can better understand the symmetries and interactions of particles in QFT. This can also help you make predictions and calculations in QFT, and gain a deeper understanding of the underlying principles of quantum mechanics.
Yes, there are several online resources and tutorials available for learning group theory for QFT. Some popular ones include the "Group Theory for Physicists" series on YouTube by Dr. S. James Gates Jr., the "Introduction to Group Theory for Physicists" course on Coursera, and the "Group Theory for QFT" lecture notes on the Perimeter Institute website.