EAN: 9783031270857

SPRINGERBRIEFS IN PHYSICS CONFORMAL FIELD THE...

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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