EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions
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Beschreibung
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.
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.
Includes supplementary material: sn.pub/extras
Autor*in
Slava Rychkov
Themen in »EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions«
CFT primer Conformal bootstrap Fixed point theories Conformal invariance Renormalization group flows
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“The book arises from EPFL lectures carried out in 2012. … certainly recommended for students which are interested in Conformal Field Theory. … it is well exposed, well written, and contains the argumentation in the level of its necessity.” (J. M. Hoff da Silva, zbMATH, Vol. 1365.81007, 2017)
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