EPFL Lectures on Conformal Field Theory in D = 3 Dimensions

1. Auflage 2017
ISBN: 978-3-319-43625-8
Verlag: Springer

Buch, Englisch, 72 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1416 g

Reihe: SpringerBriefs in Physics

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Rychkov, Slava

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Quantenphysik Teilchenphysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Introduction.- Physical Foundations of Conformal Symmetry.- Conformal kinematics.- Radial quantization and OPE.- Conformal Bootstrap.

Über Autor(innen)

Prof. Vyacheslav (Slava) Rychkov obtained his Ph.D. in 2002 from Princeton University. Since 2012 he has been a staff member at CERN. In 2014 he was awarded the 'New Horizons in Physics Prize' for his work on conformal field theory.