Conformal field theory for particle physicists : from QFT axioms to the modern conformal bootstrap / Marc Gillioz.

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Conformal field theory for particle physicists : from QFT axioms to the modern conformal bootstrap / Marc Gillioz.

9783031270864 electronic book
303127086X electronic book
9783031270857

Cham, Switzerland : Springer, [2023]

English

1 online resource (xi, 84 pages) : illustrations (some color).

10.1007/978-3-031-27086-4 doi

QC793.3.F5 G55 2023

530.14

This book is a set of introductory lecture notes on Conformal Field Theory (CFT). Unlike most existing reviews on the subject, CFT is presented here from the perspective of a unitary quantum field theory in Minkowski space-time. The book starts with a non-perturbative formulation of quantum field theory (Wightman axioms) and then, gradually, focuses on the implications of scale and special conformal symmetry, all the way to the modern conformal bootstrap. This approach includes topics such as subtleties of conformal transformations in Minkowski space-time, the construction of Wightman functions and time-ordered correlators both in position- and momentum-space, unitarity bounds derived from the spectral representation, and the appearance of UV and IR divergences. In each chapter, the reader finds useful exercises to master the subject. This book is meant for graduate students in theoretical physics and for more advanced researchers working in high-energy physics who are not necessarily familiar with the concepts of conformal field theory. Prior knowledge of quantum field theory is needed to master the arguments.

Includes bibliographical references.

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Description based on online resource; title from digital title page (viewed on May 24, 2023).

SpringerBriefs in physics.

3031270851

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