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Marc Gillioz

Conformal Field Theory for Particle Physicists: From QFT Axioms to the Modern Conformal Bootstrap

Conformal Field Theory for Particle Physicists: From QFT Axioms to the Modern Conformal Bootstrap

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  • More about Conformal Field Theory for Particle Physicists: From QFT Axioms to the Modern Conformal Bootstrap


This book provides an introductory lecture notes on Conformal Field Theory (CFT) from the perspective of a unitary quantum field theory in Minkowski space-time. It covers topics such as conformal transformations, Wightman functions, time-ordered correlators, unitarity bounds, and the appearance of UV and IR divergences. It is intended for graduate students in theoretical physics and advanced researchers in high-energy physics.

Format: Paperback / softback
Length: 84 pages
Publication date: 15 April 2023
Publisher: Springer International Publishing AG


This comprehensive volume offers a thorough introduction to Conformal Field Theory (CFT), presenting it from the perspective of a unitary quantum field theory in Minkowski space-time. Unlike most existing reviews on the subject, CFT is approached here in a unified manner, seamlessly integrating the concepts of scale, special conformal symmetry, and the modern conformal bootstrap. The book begins with a non-perturbative formulation of quantum field theory, known as the Wightman axioms, and gradually delves into the profound implications of these ideas. It explores intricate topics such as the subtleties of conformal transformations in Minkowski space-time, the construction of Wightman functions and time-ordered correlators in both position- and momentum-space, the derivation of unitarity bounds from the spectral representation, and the emergence of UV and IR divergences.

Throughout each chapter, the reader is provided with valuable exercises designed to reinforce and master the subject matter. This book is particularly suited for graduate students in theoretical physics and for advanced researchers in high-energy physics who may not have a prior background in CFT. A solid understanding of quantum field theory is essential to fully appreciate the arguments presented herein.

By offering a comprehensive and unified treatment of CFT, this book serves as a valuable resource for scholars and practitioners seeking to delve deeper into this fascinating field of theoretical physics.

Weight: 163g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031270857
Edition number: 1st ed. 2023

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