Introduction to Quantum Field Theory with Applications to Quantum Gravity

This graduate textbook provides a conceptual and technical introduction to quantum field theory,with a focus on gravitational physics. It covers the fundamental basis of quantum theory,including renormalization,quantum theory of gauge theories,and effective action formalism. The second part discusses basic aspects of quantum field theory in curved space and perturbative quantum gravity,with detailed examples and exercises.

Format: Hardback
Length: 544 pages
Publication date: 01 March 2021
Publisher: Oxford University Press

Quantum field theoretical methods have found significant applications in gravitational physics,spanning both semiclassical and full quantum frameworks. To effectively harness these methods,it is crucial to establish a solid foundation in quantum theory,with a particular focus on key concepts such as renormalization,quantum theory of gauge theories,and the effective action formalism. This graduate textbook aims to provide both a conceptual and technical introduction to the theory of quantum fields.

The presentation follows a consistent and logical progression,beginning with foundational elements of group theory,classical fields,and gradually advancing to the effective action formalism in general gauge theories. In contrast to other existing books,this part delves into the general formalism of renormalization in greater detail,and pays special attention to gauge theories. This section can serve as a textbook for a one-semester introductory course in quantum field theory.

In the second part of the textbook,we explore fundamental aspects of quantum field theory in curved space and perturbative quantum gravity. Over half of this part is dedicated to providing a comprehensive exposition of the details,including elaborated examples of simple calculations. Each chapter includes a range of exercises,ranging from straightforward ones to those requiring modest original investigations. The selection of material for the second part is guided by the must-know principle,which ensures that essential techniques and calculations are covered in depth,while also providing opportunities for the reader to independently delve into more advanced topics.

By following this structured approach,the textbook aims to equip students with a comprehensive understanding of quantum field theory and its applications in gravitational physics. It serves as a valuable resource for advanced undergraduates,graduate students,and researchers interested in this field.

Weight: 1192g
Dimension: 177 x 252 x 33 (mm)
ISBN-13: 9780198838319