Path Integrals in Field Theory An Introduction [Paperback]

Concise textbook intended as a primer on path integral formalism both in classical and quantum field theories, although emphasis is on the latter. It is ideally suited as an intensive one-semester course, delivering the basics needed by readers to follow developments in field theory. Path Integrals in Field Theory paves the way for both more rigorous studies in fundamental mathematical issues as well as for applications in hadron, particle and nuclear physics, thus addressing students in mathematical and theoretical physics alike. Assuming some background in relativistic quantum theory (but none in field theory), it complements the authors monograph Fields, Symmetries, and Quarks (Springer, 1999).

This is an introductory book to path integral methods in ?eld theories. It is aimed at graduate students and physicists who need a working knowledge of ?eld theory and its methods for applications in hadron, particle and nuclear physics. While teaching ?eld theory courses over the years I have found that many books on ?eld theory present the path integral methods used in only a very recipe-like way. On the other hand, specialized books on path integrals often contain many more details than are actually needed by non-specialists. I hope that this book here ?lls the gap. It provides enough information to actually follow all the arguments necessary for ?eld theoretical developments without, however, elaborating on the method as such and its mathema- cal intricacies. This book is  in a way  a technical companion to Fields, Symmetries, and Quarks by the present author. The reader of this book should have some knowledge of the relativistic equations of motion of classical quantum theory, but no prior knowledge of ?eld theory is assumed. The material in this book can be covered in a o- semester course with 3 hrs/week. It has evolved in many years of teaching this subject. I am grateful to my students for many helpful questions anl#g