Introduction to Quantum Field Theory (World Scientific Lecture Notes in Physics) by Shau-Jin Chang | (PDF) Free Download

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This book presents in a short volume the basics of quantum field theory and many body physics. The first part introduces the perturbative techniques without sophisticated apparatus and applies them to numerous problems including quantum electrodynamics (renormalization), Fermi and Bose gases, the Brueckner theory of nuclear system, liquid Helium and classical systems with noise. The material is clear, illustrative and the important points are stressed to help the reader get the understanding of what is crucial without overwhelming him with unnecessary detours or comments. The material in the second part ranges from variational principles to path integrals, discusses gauge theory, the renormalization group and classical solutions together with their applications.

User’s Reviews

Editorial Reviews: Review “…will appeal to anyone wishing to get an excellent introduction to one of the most important and basic methods of modern physics – presented by an expert and should be useful to a broad audience of physicists and students.” — C Itzykson, CEN-Saclay

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⭐Originating (as is often the case) from course lectures, these notes are truly an introduction. Student exercises are absent, but there are derivations in which the student is requested to render verification. A few examples: “…the transformation laws of other bilinear expressions may be worked out in a similar way.” (page 25, since the author showed the way earlier). Other examples: “…substituting Equation 4.28 into 4.27, we have…” and “…it is straightforward to work out…” (page 236) and “it serves as good practice to write down the amplitudes and carry out the isospin reduction.” (page 280).Three routes traveled: Canonical, Schwinger, Feynman. Few words, many equations. Fear not: There are very few missing steps from derivations. Follow along as instructor leads you by the hand (example: photon propagator, pages 80-82 ). I highlight chapter six: Higher Order Processes. We are taken from a theoretical analysis to an experimental number (page 120). Applications to condensed matter introduced chapter seven: Fermi system at zero temperature and then electron gases. Chapters nine and ten continue the trend, with exposition of nuclear (Bose) systems. Delight in the qualitative discussion of liquid Helium-4. A section is devoted to Fokker-Planck and Boltzmann distribution (pages 180-183), which concludes Part One.Part Two (advanced) begins with Schwinger action principle. An excellent discussion ensues as we apply the action principle to quantization of scalar, Dirac and vector fields. Truly a highlight of this text ! We meet Lorentz invariance (perhaps later than found in comparable textbooks–but, here its placement is apt). The exposition of stress tensor is exceptional. CPT (charge, parity, time) given fine discussion, culminating in “strategy of the proof“ of the relationship between spin and statistics. Next: Feynman path integrals. As s elementary as you are likely to encounter. Grassmann Algebra, defining the path integral over Fermion systems, lucidly introduced. If you have remained with the text throughout these chapters, the final chapters will prove invaluable: extending from gauge theory to renormalization.We read: “We can use the action principle to quantize the Yang-Mills field in the transverse gauge, and then verify the Lorentz invariance of the theory. We shall not enter into the details here, in the following we shall concentrate on the path integral formulation of the Yang-Mills field.” (page 270). Following along with paper and pencil will take you far. The author leaves very few lapses, thus, the student is able to follow derivations line-by-line. An excellent pedagogic strategy. Renormalization group and instantons concludes the book. ! Dyson’s path first (page 286) following which Bogoliubov and company (page 292). Chapter Seven, Non-Abelian generalization and derivation of generalized Ward-Takahashi identities (page 313). Higgs mechanism is briefly discussed (pages 318-321). A simple discussion of ‘running coupling constant’ is presented (pages 332-333). The discussion of instantons is easy to follow, in many respects the easiest chapter of the book (allowing for a remembrance of things past–WKB Approximation) !This is an excellent, introductory, computationally explicit, set of lecture notes.Highly recommended.

⭐This book is suitable for those meeting the subject for the first time- graduate students in theoretical physics take note. It has two parts: Part 1 is the conventional canonical perturbation diagrammatic Feynman-Dyson technique with a welcome additional nonconventional application to the many-body system. Part 2 is advanced field theory kicking off with a beautiful discussion of Schwinger’s Action Principle and includung a clear exposition of Path Integrals. On the whole this book is concise and well written. Two cautionary remarks are however in order: Not many calculations are there and no problems at the ends of chapters. So you might need to resort to a companion book like that by Peskin and Schroeder. Also there are quite anumber of typographical errors- not serious and might hopefully be eliminated in future editions. I like this book.

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