Conformal Field Theory for Particle Physicists
From QFT Axioms to the Modern Conformal Bootstrap
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Beschreibung
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.
Presents the state of the art in research starting with basic aspects of quantum field theory Provides a modern perspective on Conformal Field Theory, a research field which is developing fast Pedagogical and original introduction to the subject of Conformal Field Theory for particle physics
Autor*in
Marc Gillioz
Themen in »Conformal Field Theory for Particle Physicists«
conformal symmetry in Minkowski space-time conformal correlation function conformal bootstrap Wightman axioms non-perturbative quantum field theory spectral representation in conformal field theory divergences in conformal field theory state-operator correspondence