Introduction to Quantum Field Theory with Applications to Quantum Gravity
Series: Oxford Graduate Texts;
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Product details:
- Publisher OUP Oxford
- Date of Publication 9 February 2023
- ISBN 9780198872344
- Binding Paperback
- No. of pages544 pages
- Size 245x173x25 mm
- Weight 1038 g
- Language English
- Illustrations Various b/w line drawings 261
Categories
Short description:
This textbook presents a detailed introduction to the general concepts of quantum field theory, with special emphasis on principal aspects of functional methods and renormalization in gauge theories, and includes an introduction to semiclassical and perturbative quantum gravity in flat and curved spacetimes.
MoreLong description:
Applications of quantum field theoretical methods to gravitational physics, both in the semiclassical and the full quantum frameworks, require a careful formulation of the fundamental basis of quantum theory, with special attention to such important issues as renormalization, quantum theory of gauge theories, and especially effective action formalism. The first part of this graduate textbook provides both a conceptual and technical introduction to the theory of quantum fields. The presentation is consistent, starting from elements of group theory, classical fields, and moving on to the effective action formalism in general gauge theories. Compared to other existing books, the general formalism of renormalization in described in more detail, and special attention paid to gauge theories. This part can serve as a textbook for a one-semester introductory course in quantum field theory.
In the second part, we discuss basic aspects of quantum field theory in curved space, and perturbative quantum gravity. More than half of Part II is written with a full exposition of details, and includes elaborated examples of simplest calculations. All chapters include exercises ranging from very simple ones to those requiring small original investigations. The selection of material of the second part is done using the “must-know” principle. This means we included detailed expositions of relatively simple techniques and calculations, expecting that the interested reader will be able to learn more advanced issues independently after working through the basic material, and completing the exercises.
It is a good moment for summarizing the various advances, and these two authors are among the best experts in the specific field of quantum effective actions in gravity.
Table of Contents:
PART I INTRODUCTION TO QUANTUM FIELD THEORY
Introduction
Relativistic Symmetry
Lagrange formalism in field theory
Field Models
Canonical Quantization of Free Fields
Scattering Matrix and Green Functions
Functional Integrals
Perturbation Theory
Renormalization
Quantum Gauge Theories
PART II SEMICLASSICAL AND QUANTUM GRAVITY MODELS
Brief Review of General Relativity.
Classical fields in curved spacetime
Quantum fields in curved spacetime: renormalization
One-loop divergences
Renormalization group in curved space
Non-local form factors in flat and curved spacetime
Conformal anomaly and anomaly-induced action
General Notions of Perturbative Quantum Gravity
Massive ghosts in higher derivative models
One-loop renormalization in quantum gravity
Renormalization group in perturbative quantum gravity
Induced gravity approach
Final remarks on Part II
References
PART I INTRODUCTION TO QUANTUM FIELD THEORY
Introduction
Relativistic Symmetry
Lagrange formalism in field theory
Field Models
Canonical Quantization of Free Fields
Scattering Matrix and Green Functions
Functional Integrals
Perturbation Theory
Renormalization
Quantum Gauge Theories
PART II SEMICLASSICAL AND QUANTUM GRAVITY MODELS
Brief Review of General Relativity.
Classical fields in curved spacetime
Quantum fields in curved spacetime: renormalization
One-loop divergences
Renormalization group in curved space
Non-local form factors in flat and curved spacetime
Conformal anomaly and anomaly-induced action
General Notions of Perturbative Quantum Gravity
Massive ghosts in higher derivative models
One-loop renormalization in quantum gravity
Renormalization group in perturbative quantum gravity
Induced gravity approach
Final remarks on Part II
References
