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Titlebook: LQG for the Bewildered; The Self-Dual Approa Deepak Vaid,Sundance Bilson-Thompson Book 20171st edition The Editor(s) (if applicable) and Th

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书目名称LQG for the Bewildered
副标题The Self-Dual Approa
编辑Deepak Vaid,Sundance Bilson-Thompson
视频video
概述Serves as primer for newcomers to the field.Uses the self-dual variables approach as most pedagogical tool for beginners.Offers concise and clear step-by-step explanations and derivations.Includes sup
图书封面Titlebook: LQG for the Bewildered; The Self-Dual Approa Deepak Vaid,Sundance Bilson-Thompson Book 20171st edition The Editor(s) (if applicable) and Th
描述.This primer offers a concise introduction to Loop Quantum Gravity (LQG). - a theoretical framework for uniting Quantum Mechanics (QM) with General Relativity (GR). The emphasis is on the physical aspects of the framework and its historical development in terms of self-dual variables, still most suited for a first, pedagogical encounter with LQG.. . The text starts by reviewing GR and the very basics of Quantum Field Theory (QFT), and then explains in a concise and clear manner the steps leading from the Einstein-Hilbert action for gravity to the construction of the quantum states of geometry, known as spin-networks, and which provide the basis for the kinematical Hilbert space of quantum general relativity. Along the way the various associated concepts of tetrads, spin-connection and holonomies are introduced.. . Having thus provided a minimal introduction to the LQG framework, some applications to the problems of black hole entropy and of quantum cosmology are briefly surveyed. Last but not least, a list of the most common criticisms of LQG is presented, which are then tackled one by one in order to convince the reader of the physical viability of the theory. A set of appendices
出版日期Book 20171st edition
关键词Brahmagupta-Pell Equation; Covariant LQG; Elementary introduction to Quantum Gravity; First Course in L
版次1
doihttps://doi.org/10.1007/978-3-319-43184-0
isbn_ebook978-3-319-43184-0
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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https://doi.org/10.1007/978-3-319-43184-0Brahmagupta-Pell Equation; Covariant LQG; Elementary introduction to Quantum Gravity; First Course in L
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Introduction,The goal of Loop Quantum Gravity (LQG) is to take two extremely well-developed and successful theories, General Relativity and Quantum Field Theory, at “face value” and attempt to combine them into a single theory with a minimum of assumptions and deviations from established physics.
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Classical GR,General relativity (GR) is an extension of Einstein’s special theory of relativity (SR), which was required in order to include observers in non-trivial gravitational backgrounds.
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First Steps to a Theory of Quantum Gravity,As discussed in the previous section, we wish to attempt to canonically quantise GR, which means turning the Hamiltonian, diffeomorphism and Gauss constraints into operators and replacing Poisson brackets with commutation relations.
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Kinematical Hilbert Space,The allowed loop states that spacetime is composed of can take several forms. They may consist of simple closed loops. These loops may be linked through each other.
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