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Conformal Field Theory for Particle Physicists

From QFT Axioms to the Modern Conformal Bootstrap

By: Marc Gillioz

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Conformal Field Theory for Particle Physicists

From QFT Axioms to the Modern Conformal Bootstrap

By: Marc Gillioz

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.

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Page Count

93

Publisher

Springer Nature

Published Date

ISBN 10

303127086X

ISBN 13

9783031270864

Conformal Field Theory for Particle Physicists

From QFT Axioms to the Modern Conformal Bootstrap

By: Marc Gillioz

Write a review Read reviews Take a Quiz Solve Book Puzzle

Conformal Field Theory for Particle Physicists

From QFT Axioms to the Modern Conformal Bootstrap

By: Marc Gillioz

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

93

Publisher

Springer Nature

Published Date

ISBN 10

303127086X

ISBN 13

9783031270864