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Author : Viatcheslav Mukhanov
Release : 2007-06-14
Genre : Mathematics
Kind : eBook
Book Rating : 341/5 ( reviews)
Book Synopsis Introduction to Quantum Effects in Gravity by : Viatcheslav Mukhanov
Download or read book Introduction to Quantum Effects in Gravity written by Viatcheslav Mukhanov. This book was released on 2007-06-14. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description
Author : Mendel Sachs
Release : 2013-06-29
Genre : Science
Kind : eBook
Book Rating : 404/5 ( reviews)
Book Synopsis Quantum Mechanics and Gravity by : Mendel Sachs
Download or read book Quantum Mechanics and Gravity written by Mendel Sachs. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a paradigm change in modern physics from the philosophy and mathematical expression of the quantum theory to those of general relativity. The approach applies to all domains - from elementary particles to cosmology. The change is from the positivistic views in which atomism, nondeterminism and measurement are fundamental, to a holistic view in realism, wherein matter - electrons, galaxies, - are correlated modes of a single continuum, the universe. A field that unifies electromagnetism, gravity and inertia is demonstrated explicitly, with new predictions, in terms of quaternion and spinor field equations in a curved spacetime. Quantum mechanics emerges as a linear, flatspace approximation for the equations of inertia in general relativity.
Author : Jens Boos
Release : 2021-10-28
Genre : Science
Kind : eBook
Book Rating : 103/5 ( reviews)
Book Synopsis Effects of Non-locality in Gravity and Quantum Theory by : Jens Boos
Download or read book Effects of Non-locality in Gravity and Quantum Theory written by Jens Boos. This book was released on 2021-10-28. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is devoted to the systematic study of non-local theories that respect Lorentz invariance and are devoid of new, unphysical degrees of freedom. Such theories are attractive for phenomenological applications since they are mostly unconstrained by current experiments. Non-locality has played an increasingly important role in the physics of the last decades, appearing in effective actions in quantum field theory, and arising naturally in string theory and non-commutative geometry. It may even be a necessary ingredient for quantum theories of gravity. It is a feature of quantum entanglement, and may even solve the long-standing black hole information loss problem. “Non-locality” is a broad concept with many promising and fruitful applications in theoretical and mathematical physics. After a historical and pedagogical introduction into the concept of non-locality the author develops the notion of non-local Green functions to study various non-local weak-field problems in quantum mechanics, quantum field theory, gravity, and quantum field theory in curved spacetime. This thesis fills a gap in the literature by providing a self-contained exploration of weak-field effects in non-local theories, thereby establishing a “non-local intuition” which may serve as a stepping stone for studies of the full, non-linear problem of non-locality.
Author : Viatcheslav Mukhanov
Release : 2007-06-14
Genre : Science
Kind : eBook
Book Rating : 949/5 ( reviews)
Book Synopsis Introduction to Quantum Effects in Gravity by : Viatcheslav Mukhanov
Download or read book Introduction to Quantum Effects in Gravity written by Viatcheslav Mukhanov. This book was released on 2007-06-14. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2007, is an introductory textbook on quantum field theory in gravitational backgrounds intended for undergraduate and beginning graduate students in the fields of theoretical astrophysics, cosmology, particle physics, and string theory. The book covers the basic (but essential) material of quantization of fields in an expanding universe and quantum fluctuations in inflationary spacetime. It also contains a detailed explanation of the Casimir, Unruh, and Hawking effects, and introduces the method of effective action used for calculating the back-reaction of quantum systems on a classical external gravitational field. The broad scope of the material covered will provide the reader with a thorough perspective of the subject. Every major result is derived from first principles and thoroughly explained. The book is self-contained and assumes only a basic knowledge of general relativity. Exercises with detailed solutions are provided throughout the book.
Author : Herbert W. Hamber
Release : 2008-10-20
Genre : Science
Kind : eBook
Book Rating : 93X/5 ( reviews)
Book Synopsis Quantum Gravitation by : Herbert W. Hamber
Download or read book Quantum Gravitation written by Herbert W. Hamber. This book was released on 2008-10-20. Available in PDF, EPUB and Kindle. Book excerpt: "Quantum Gravitation" approaches the subject from the point of view of Feynman path integrals, which provide a manifestly covariant approach in which fundamental quantum aspects of the theory such as radiative corrections and the renormalization group can be systematically and consistently addressed. It is shown that the path integral method is suitable for both perturbative as well as non-perturbative studies, and is already known to offer a framework for the theoretical investigation of non-Abelian gauge theories, the basis for three of the four known fundamental forces in nature. The book thus provides a coherent outline of the present status of the theory gravity based on Feynman’s formulation, with an emphasis on quantitative results. Topics are organized in such a way that the correspondence to similar methods and results in modern gauge theories becomes apparent. Covariant perturbation theory are developed using the full machinery of Feynman rules, gauge fixing, background methods and ghosts. The renormalization group for gravity and the existence of non-trivial ultraviolet fixed points are investigated, stressing a close correspondence with well understood statistical field theory models. The final chapter addresses contemporary issues in quantum cosmology such as scale dependent gravitational constants and quantum effects in the early universe.
