图书简介
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.
PART I INTRODUCTION TO QUANTUM FIELD THEORY; 1 Introduction; 2 Relativistic Symmetry; 3 Lagrange formalism in field theory; 4 Field Models; 5 Canonical Quantization of Free Fields; 6 Scattering Matrix and Green Functions; 7 Functional Integrals; 8 Perturbation Theory; 9 Renormalization; 10 Quantum Gauge Theories; PART II SEMICLASSICAL AND QUANTUM GRAVITY MODELS; 11 Brief Review of General Relativity.; 12 Classical fields in curved spacetime; 13 Quantum fields in curved spacetime: renormalization; 14 One-loop divergences; 15 Renormalization group in curved space; 16 Non-local form factors in flat and curved spacetime; 17 Conformal anomaly and anomaly-induced action; 18 General Notions of Perturbative Quantum Gravity; 19 Massive ghosts in higher derivative models; 20 One-loop renormalization in quantum gravity; 21 Renormalization group in perturbative quantum gravity; 22 Induced gravity approach; 23 Final remarks on Part II; References; PART I INTRODUCTION TO QUANTUM FIELD THEORY; 1 Introduction; 2 Relativistic Symmetry; 3 Lagrange formalism in field theory; 4 Field Models; 5 Canonical Quantization of Free Fields; 6 Scattering Matrix and Green Functions; 7 Functional Integrals; 8 Perturbation Theory; 9 Renormalization; 10 Quantum Gauge Theories; PART II SEMICLASSICAL AND QUANTUM GRAVITY MODELS; 11 Brief Review of General Relativity.; 12 Classical fields in curved spacetime; 13 Quantum fields in curved spacetime: renormalization; 14 One-loop divergences; 15 Renormalization group in curved space; 16 Non-local form factors in flat and curved spacetime; 17 Conformal anomaly and anomaly-induced action; 18 General Notions of Perturbative Quantum Gravity; 19 Massive ghosts in higher derivative models; 20 One-loop renormalization in quantum gravity; 21 Renormalization group in perturbative quantum gravity; 22 Induced gravity approach; 23 Final remarks on Part II; References
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