EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions

  • Slava Rychkov

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Slava Rychkov
    Pages 19-35
  3. Slava Rychkov
    Pages 37-54
  4. Slava Rychkov
    Pages 55-72

About this book

Introduction

This primer develops Conformal Field Theory (CFT) from scratch, whereby CFT is viewed as any conformally-invariant theory that describes a fixed point of a renormalization group flow in quantum field theory.

The book is divided into four lectures: Lecture 1 addresses the physical foundations of conformal invariance, while Lecture 2 examines the constraints imposed by conformal symmetry on the correlation functions of local operators, presented using the so-called projective null cone – a procedure also known as the embedding formalism. In turn, Lecture 3 focuses on the radial quantization and the operator product expansion, while Lecture 4 offers a very brief introduction to the conformal bootstrap.

Derived from course-based notes, these lectures are intended as a first point of entry to this topic for Master and PhD students alike.

Keywords

CFT primer Conformal bootstrap Fixed point theories Conformal invariance Renormalization group flows

Authors and affiliations

  • Slava Rychkov
    • 1
  1. 1.Theory Division, PH-TH Case C01600CERN Theory Division, PH-TH Case C01600Geneva 23Switzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-43626-5
  • Copyright Information The Author(s) 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-43625-8
  • Online ISBN 978-3-319-43626-5
  • Series Print ISSN 2191-5423
  • Series Online ISSN 2191-5431
  • About this book