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.

NAMED ONE OF THE BEST BOOKS OF 2021: POLITICS BY THE WALL STREET JOURNAL "A must-read for anyone interested in the Supreme Court."—MIKE LEE, Republican senator from Utah Politics have always intruded on Supreme Court appointments. But although the Framers would recognize the way justices are nominated and confirmed today, something is different. Why have appointments to the high court become one of the most explosive features of our system of government? As Ilya Shapiro makes clear in Supreme Disorder, this problem is part of a larger phenomenon. As government has grown, its laws reaching even further into our lives, the courts that interpret those laws have become enormously powerful. If we fight over each new appointment as though everything were at stake, it’s because it is. When decades of constitutional corruption have left us subject to an all-powerful tribunal, passions are sure to flare on the infrequent occasions when the political system has an opportunity to shape it. And so we find the process of judicial appointments verging on dysfunction. Shapiro weighs the many proposals for reform, from the modest (term limits) to the radical (court-packing), but shows that there can be no quick fix for a judicial system suffering a crisis of legitimacy. And in the end, the only measure of the Court’s legitimacy that matters is the extent to which it maintains, or rebalances, our constitutional order.

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.