The Conceptual Framework of Quantum Field Theory
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The Conceptual Framework of Quantum Field Theory

The Conceptual Framework of Quantum Field Theory


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About the Book

The book attempts to provide an introduction to quantum field theory emphasizing conceptual issues frequently neglected in more "utilitarian" treatments of the subject. The book is divided into four parts, entitled respectively "Origins", "Dynamics", "Symmetries", and "Scales". The emphasis is conceptual - the aim is to build the theory up systematically from some clearly stated foundational concepts - and therefore to a large extent anti-historical, but two historical Chapters ("Origins") are included to situate quantum field theory in the larger context of modern physical theories. The three remaining sections of the book follow a step by step reconstruction of this framework beginning with just a few basic assumptions: relativistic invariance, the basic principles of quantum mechanics, and the prohibition of physical action at a distance embodied in the clustering principle. The ``Dynamics" section of the book lays out the basic structure of quantum field theory arising from the sequential insertion of quantum-mechanical, relativistic and locality constraints. The central role of symmetries in relativistic quantum field theories is explored in the third section of the book, while in the final section, entitled "Scales", we explore in detail the feature of quantum field theories most critical for their enormous phenomenological success - the scale separation property embodied by the renormalization group properties of a theory defined by an effective local Lagrangian.The book includes a wide range of problems at chapter ends. Solutions can be requested via the publisher's web site.

Table of Contents:
Part I: Origins 1: From the Arrow of Time to the First Quantum Field 2: Gestation and Birth of Interacting Field Theory- From Dirac to Shelter Island Part II: Dynamics 3: The Physical Ingredients of Quantum Field Theory - Dynamics, Symmetries, Scales 4: Quantum Mechanical Preliminaries 5: Relativistic Quantum Mechanics 6: Aspects of Locality - Clustering, Microcausality, and Analyticity 7: Construction of Local Covariant Fields 8: The Classical Limit of Quantum Fields 9: Interacting Fields- General Aspects 10: Interacting Fields- Perturbative Aspects 11: Interacting Fields - Nonperturbative Aspects Part III: Symmetries 12: Continuous Space-time Symmetry - Why we need Lagrangians in Field Theory 13: Discrete Space-time Symmetries 14: Global Symmetries in Field Theory 15: Local Symmetries in Field Theory Part IV: Scales 16: Scale Sensitivity of Field Theory Amplitudes and Effective Field Theories 17: Perturbatively Renormalizable Field Theories 18: Short-distance Structure of Quantum Field Theory 19: Long-distance Structure of Quantum Field Theory

About the Author :
Anthony Duncan is Professor of Physics at the University of Pittsburgh, USA.

Review :
`This is an outstandingly good book. Although aimed at physicists, it is a godsend to philosophers of physics who want to understand quantum field theory. To know all that is here would be wisdom indeed ... This book is an invaluable aid to truly understanding quantum field theory' Jeremy Butterfield, Philosophy of Science `Review from previous edition This is not your average quantum field theory book. Duncan provides a new perspecetive on the field, emphasising a number of conceptual and technical aspects that are usually brushed conveniently under the carpet. This should be high on the reading list of any serious researcher.' David Tong, University of Cambridge


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Product Details
  • ISBN-13: 9780199573264
  • Publisher: Oxford University Press
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Weight: 1712 gr
  • ISBN-10: 0199573263
  • Publisher Date: 09 Aug 2012
  • Height: 250 mm
  • No of Pages: 794
  • Spine Width: 45 mm
  • Width: 188 mm


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