Introduction to Quantum Field Theory with Applications to Quantum Gravity

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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• A física quântica (mecânica quântica e teoria quântica de campos)
• Gravidade
• Cosmologia e o Universo
• Física das partículas e da energia elevada
• Física relativística