James M. Cline - Advanced Concepts in Quantum Field Theory With Exercises

SpringerBriefs in Physics are a series of slim high-quality publications encompassing the entire spectrum of physics. Manuscripts for SpringerBriefs in Physics will be evaluated by Springer and by members of the Editorial Board. Proposals and other communication should be sent to your Publishing Editors at Springer.

Featuring compact volumes of 50 to 125 pages (approximately 20,00045,000 words), Briefs are shorter than a conventional book but longer than a journal article. Thus, Briefs serve as timely, concise tools for students, researchers, and professionals. Typical texts for publication might include:

Briefs allow authors to present their ideas and readers to absorb them with minimal time investment. Briefs will be published as part of Springers eBook collection, with millions of users worldwide. In addition, they will be available, just like other books, for individual print and electronic purchase. Briefs are characterized by fast, global electronic dissemination, straightforward publishing agreements, easy-to-use manuscript preparation and formatting guidelines, and expedited production schedules. We aim for publication 812 weeks after acceptance.

More information about this series at http://www.springer.com/series/8902

This Springer imprint is published by the registered company Springer Nature Switzerland AG

The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Quantum Field Theory (QFT) is the language in which Natures Laws at their most fundamental level are written, and this makes it as important a subject for a scientist to learn as is the learning of English for a student of Shakespeare or French to a student of Voltaire. This is why many good QFT texts have been written to help novices find their way around what is a vast and rich subject.

But real fluency is required to appreciate masterpieces written in any language, and it is equally true that a full appreciation of Natures Laws requires going beyond an introductory treatment of QFT methods. Indeed, there is so much accumulated wisdom about QFT that learning it is a lifelong task that never really ends.

That is where this book comes in. This book is based on graduate lectures given at McGill University by the author, who is a world expert in the subject. It goes beyond the usual introductory topics found in many textbooks and dives deeper into important grottos of knowledgesuch as the nitty-gritty of renormalization and a discussion of non-perturbative issues like tunnelling and theta vacua in nonabelian gauge theories. These topics have both practical and conceptual value and are often not discussed in introductory textbooks.