In The Quantum Theory of Fields, Nobel Laureate Steven Weinberg combines his exceptional physical insight with his gift for clear exposition to provide a self-contained, comprehensive, and up-to-date introduction to quantum field theory. This is a two-volume work. Volume I introduces the foundations of quantum field theory. The development is fresh and logical throughout, with each step carefully motivated by what has gone before, and emphasizing the reasons why such a theory should describe nature. After a brief historical outline, the book begins anew with the principles about which we are most certain, relativity and quantum mechanics, and the properties of particles that follow from these principles. Quantum field theory emerges from this as a natural consequence. The author presents the classic calculations of quantum electrodynamics in a thoroughly modern way, showing the use of path integrals and dimensional regularization. His account of renormalization theory reflects the changes in our view of quantum field theory since the advent of effective field theories. The book's scope extends beyond quantum electrodynamics to elementary particle physics, and nuclear physics. It contains much original material, and is peppered with examples and insights drawn from the author's experience as a leader of elementary particle research. Problems are included at the end of each chapter. This work will be an invaluable reference for all physicists and mathematicians who use quantum field theory, and it is also appropriate as a textbook for graduate students in this area.
Steven Weinberg (1933-2021) was an American theoretical physicist and Nobel laureate in Physics for his contributions with Abdus Salam and Sheldon Glashow to the unification of the weak force and electromagnetic interaction between elementary particles.
He held the Josey Regental Chair in Science at the University of Texas at Austin, where he was a member of the Physics and Astronomy Departments. His research on elementary particles and physical cosmology was honored with numerous prizes and awards, including in 1979 the Nobel Prize in Physics and in 1991 the National Medal of Science. In 2004 he received the Benjamin Franklin Medal of the American Philosophical Society, with a citation that said he was "considered by many to be the preeminent theoretical physicist alive in the world today." He was elected to the US National Academy of Sciences and Britain's Royal Society, as well as to the American Philosophical Society and the American Academy of Arts and Sciences.
Weinberg's articles on various subjects occasionally appeared in The New York Review of Books and other periodicals. He served as consultant at the U.S. Arms Control and Disarmament Agency, President of the Philosophical Society of Texas, and member of the Board of Editors of Daedalus magazine, the Council of Scholars of the Library of Congress, the JASON group of defense consultants, and many other boards and committees.
Brilliant! How can I review this book? Is it even required? No. Weinberg knows what he is talking about and he knows how to present ideas of theoretical physics. No one can explain quantum field theory better than him.
Apart from the end-of-chapter problems, this book is self explanatory and very comprehensive. So If you are a student then follow this book line by line and don't be panic by too many symbols and horrible (but compact and self explanatory) notations, just be patient.
Weinberg, unlike other authors of quantum field theory textbooks, introduces the concept of quantum fields in chapter 5, and Feynman's diagrams in chapter 6.
According to Steven Weinberg: "When you teach any branch of physics you must motivate the formalism � it isn’t any good just to present the formalism and say that it agrees with experiment � you have to explain to the students why this the way the world is. After all, this is our aim in physics, not just to describe nature, but to explain nature.In the course of teaching quantum field theory, I developed a rationale for it, which very briefly is that it is the only way of satisfying the principles of Lorentz invariance plus quantum mechanics plus one other principle [cluster decomposition]."
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