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ELSEVIER Introduction To Robust Estimation And Hypothesis Testing 5Th Edition by Rand Wilcox
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 ofquantum 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 attentionpaid 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 detailedexpositions 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. Table of contents :-PART I INTRODUCTION TO QUANTUM FIELD THEORY1: Introduction2: Relativistic Symmetry3: Lagrange formalism in field theory4: Field Models5: Canonical Quantization of Free Fields6: Scattering Matrix and Green Functions7: Functional Integrals8: Perturbation Theory9: Renormalization10: Quantum Gauge TheoriesPART II SEMICLASSICAL AND QUANTUM GRAVITY MODELS11: Brief Review of General Relativity.12: Classical fields in curved spacetime13: Quantum fields in curved spacetime: renormalization14: One-loop divergences15: Renormalization group in curved space16: Non-local form factors in flat and curved spacetime17: Conformal anomaly and anomaly-induced action18: General Notions of Perturbative Quantum Gravity19: Massive ghosts in higher derivative models20: One-loop renormalization in quantum gravity21: Renormalization group in perturbative quantum gravity22: Induced gravity approach23: Final remarks on Part IIReferences