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Titlebook: Conformal Field Theory for Particle Physicists; From QFT Axioms to t Marc Gillioz Book 2023 The Editor(s) (if applicable) and The Author(s)

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书目名称Conformal Field Theory for Particle Physicists
副标题From QFT Axioms to t
编辑Marc Gillioz
视频video
概述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.Pedagog
丛书名称SpringerBriefs in Physics
图书封面Titlebook: Conformal Field Theory for Particle Physicists; From QFT Axioms to t Marc Gillioz Book 2023 The Editor(s) (if applicable) and The Author(s)
描述.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..
出版日期Book 2023
关键词conformal symmetry in Minkowski space-time; conformal correlation function; conformal bootstrap; Wightm
版次1
doihttps://doi.org/10.1007/978-3-031-27086-4
isbn_softcover978-3-031-27085-7
isbn_ebook978-3-031-27086-4Series ISSN 2191-5423 Series E-ISSN 2191-5431
issn_series 2191-5423
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Alejandra Chávez,Angélica Pradons in space-time is discussed with the help of compactifications into curved spaces. The concept of conformal symmetry in classical field theory is also presented, highlighting the importance of the energy-momentum tensor in the construction of conformal charges.
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Conformal Correlation Functions,conformal 3-point function of scalar operators is derived using these techniques. Finally, the general form of 4-point correlation functions is discussed, an the notion of conformally-invariant cross-ratios is presented.
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Classical Conformal Transformations,ns in space-time is discussed with the help of compactifications into curved spaces. The concept of conformal symmetry in classical field theory is also presented, highlighting the importance of the energy-momentum tensor in the construction of conformal charges.
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