![]() ![]() Einsteins space-time Einstein-Podolsky-Rosen effect Einstein-Szilrd letter. Covering over four decades of thematic development, this book is a valuable resource for researchers interested in quantum field theory, gravitation and cosmology. Albert Einstein was the most famous scientist of our time, and. It explores the self-consistent description of both space-time and matter via the semiclassical Einstein equation of semiclassical gravity theory, exemplified by the inflationary cosmology, and fluctuations of quantum fields which underpin stochastic gravity, necessary for the description of metric fluctuations (space-time foams). This book examines the effects of quantum field processes back-reacting on the background space-time which become important near the Planck time (10-43 sec). Combining the two yields quantum field theory in curved space-time, which is needed to understand quantum field processes in the early universe and black holes, such as the well-known Hawking effect. Rept.The two pillars of modern physics are general relativity and quantum field theory, the former describes the large scale structure and dynamics of space-time, the latter, the microscopic constituents of matter. S.: Quantum Field Theory In Curved Space-Time, Phys. Jacobson T.: Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect, arXiv: gr-qc/0208048 (2002).M.: Quantum fields in curved spacetime, Phys. It is shown how to define the measure in field space. Fabbri A., Navarro-Salas J.: Modeling Black Hole Evaporation (Imperial College Press, London, 2005) An examination of the functional measure for quantum field theory defined on a general curved background spacetime is presented.Frolov V., Novikov I.: Black Hole Physics - Basic Concepts and New Developments (Kluwer Academic Publisher, Dordrecht, 1998).A.: Aspects of Quantum Field Theory in Curved Spacetime Thermodynamics (Cambridge University Press, Cambridge, 1989) Parker L., Toms D.: Quantum Field Theory in Curved Spacetime (Cambridge University Press, Cambridge, 2009).Mukhanov V., Winitzki S.: Introduction to Quantum Effects in Gravity (Cambridge University Press, Cambridge, 2007) Quantum eld theory in curved spacetime has been remarkably fruitful.W.: Quantum fields in curved space (Cambridge University Press, Cambridge, 1984) ![]() M.: Quantum Field Theory in Curved Spacetime and Black Hole (University Of Chicago Press, Chicago, 1994) Zkouška se skládá z písemné (výpočet křivosti metriky formalismem forem) a ústní části (2 otázky z vyložené látky). Zkouška se skládá z písemné (na základě odevzdaných domácích úkolů) a ústní části (2 otázky z vyložené látky). Zkouška se koná v následujících termínech:ĭalší termíny po domluvě s prof. If anyone is interested in watching recordings of the lectures without enrolment, please, contact the lecturer by email. Recordings are available on a special page, the address of which was sent to enrolled students. Lectures and occasional practicals are taught in person. Lectures are scheduled each Thursday at 9:50–12:15 in lecture room T1. Previous experience with Quantum Field Theory gives a big advantage, but it is not a necessary requirement. Knowledge of General Relativity and Quantum Mechanics on the level of introductory courses is assumed. The course is intended for students in the Master's and PhD programs. Hawking effect, choice of modes and vacuum state. Moving mirrors, cosmological particle creation, Unruh effect, particle detectors. Static spacetimes, diagonalization of the Hamiltonian, thermal states, quantum Green functions, their analytical properties and singular structure, Wick rotation. Quantization on a curved background, Fock basis, coherent states, vacuum state, normal ordering, Bogoliubov transformation, S-matrix, amplitudes and generating functional. Hamiltonian formalism in field theory, 3+1 splitting, classical Green functions. Introduction to quantum field theory on curved background In this seminar, we will extend the canonical quantization in Minkowski spacetime to curved spacetimes (Lorentzian manifolds). ![]()
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