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Quantum gravity is one of the major "open" problems in theoretical physics, and the loop and spinfoam approach in this book is a major research area in the field. Emphasizing conceptual and foundational issues raised by quantum gravity, especially on the nature of space and time, the text is intended for researchers working in quantum gravity and graduate students.

Quantum gravity --- Gravité quantique --- Gravité quantique --- Quantum gravity.

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Quantum gravity --- Supergravity --- Cosmology --- Black holes (Astronomy) --- Gravité quantique --- Trous noirs (astronomie) --- Cosmologie --- Gravité quantique

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Today we are blessed with two extraordinarily successful theories of physics. The first is Albert Einstein's general theory of relativity, which describes the large-scale behaviour of matter in a curved spacetime. This theory is the basis for the standard model of big bang cosmology. The discovery of gravitational waves at the LIGO observatory in the US (and then Virgo, in Italy) is only the most recent of this theory's many triumphs.The second is quantum mechanics. This theory describes the properties and behaviour of matter and radiation at their smallest scales. It is the basis for the standard model of particle physics, which builds up all the visible constituents of the universe out of collections of quarks, electrons and force-carrying particles such as photons. The discovery of the Higgs boson at CERN in Geneva is only the most recent of this theory's many triumphs.But, while they are both highly successful, these two structures leave a lot of important questions unanswered. They are also based on two different interpretations of space and time, and are therefore fundamentally incompatible. We have two descriptions but, as far as we know, we've only ever had one universe. What we need is a quantum theory of gravity.Approaches to formulating such a theory have primarily followed two paths. One leads to String Theory, which has for long been fashionable, and about which much has been written. But String Theory has become mired in problems. In this book, Jim Baggott describes ": an approach which takes relativity as its starting point, and leads to a structure called Loop Quantum Gravity. Baggott tells the story through the careers and pioneering work of two of the theory's most prominent contributors, Lee Smolin and Carlo Rovelli. Combining clear discussions of both quantum theory and general relativity, this book offers one of the first efforts to explain the new quantum theory of space and time.

Quantum theory. --- Space and time. --- Relativity (Physics) --- Gravité quantique --- Théorie quantique --- Espace et temps --- Relativité (physique) --- Univers --- Universe. --- Gravité quantique. --- Théorie quantique. --- Espace et temps. --- Univers. --- Gravité quantique. --- Théorie quantique. --- Relativité (physique)

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Pionnier dans l'étude de la gravité quantique, Carlo Rovelli propose dans ce livre une vaste fresque des grandes avancées de la physique. Des atomes de Démocrite aux "atomes d'espace", de la chaleur des trous noirs au hypothèses sur le rôle de l'information dans notre perception de la réalité, il nous guide, sans aucune équation, sur le fascinant chemin des grandes théories - physique quantique, relativité générale - qui ont changé notre vision du monde et nous ont dévoilé, par-delà le visible, une autre réalité. Atomes, quanta et espace-temps courbe mènent le lecteur vers l'étrange image du réel suggérée par la physique d'aujourd'hui : celle d'un monde sans espace ni temps, ni énergie. Seulement un fourmillement probabiliste de quanta élémentaires qui, dans leur dans danse folle, dessinent l'espace, le temps, la matière et la lumière. C'est la trame d'un nouveau regard sur la réalité qui se révèle sous la plume d'un merveilleux conteur.

Gravité quantique. --- Réalité. --- Espace et temps. --- Relativité (physique) --- Physique --- Histoire. --- Quantum gravity --- Reality --- Space and time --- Relativity (Physics) --- Physics --- Gravité quantique --- Réalité --- Espace et temps --- Relativité (Physique) --- History --- Histoire --- Gravité quantique --- Réalité --- Relativité (Physique) --- Quantum gravity. --- Reality. --- Space and time. --- Relativité (physique) --- History. --- Gravité quantique. --- Réalité.

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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.

Quantum gravity. --- Quantum field theory. --- Gravité quantique. --- Théorie quantique des champs.