F9370 Quantum gravitation

Faculty of Science
Autumn 2005
Extent and Intensity
3/0/0. 3 credit(s). Type of Completion: k (colloquium).
Teacher(s)
doc. Franz Hinterleitner, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: doc. Franz Hinterleitner, Ph.D.
Timetable
Wed 14:00–16:50 Fs3,04018
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Noncompatibility of quantum theory and general relativity (GR), problems of quantizing GR: nonlinearity, nonrenormalizability of perturbative quantum gravity, dynamical spacetime, constraints. Ashtekar variables, Wilson loops, basic quantum operators, orthonormal basis of quantum states - spin networks. Gauge and diffeomorphism invariance, operators of geometry: arean and volume. Hamiltonian constraint and the problem of time evolution, "spin foams". Black hole entropy, quantum cosmology, regularization of cosmic singularities by quantizing geometry.
Syllabus (in Czech)
  • Spory mezi kvantovou teorií a obecnou teorií relativity (OTR), problémy kvantování OTR: nelineárnost, nerenormalizovatelnost poruchové kvantové gravitace, dynamický prostoročas, vazby. Ashtekarovy proměnné, Wilsonovy smyčky, základní kvantové operátory, ortonormální baze kvantových stavů - spinové sítě. kalibrační a difeomorfismová invariance, operátory geometrie: plošný osah a objem. Hamiltonovská vazba a problém časového vývoje, "spinová pěna". Entropie černých děr, kvantová kosmologie, regularizace kosmických singularit v kvantově geometrii.
Literature
  • Lee Smolin, Three Roads to Quantum Gravity, Basic Books, New York, ISBN 0-465-07836-2
  • Carlo Rovelli, Quantum Gravity, Cambridge Monographs on Mathematical Physics, ISBN 0-521-83733-2
Assessment methods (in Czech)
Ústní zkouška
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught once in two years.
General note: L.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2000, Autumn 2002, Autumn 2004, Autumn 2007, Autumn 2009, Autumn 2011, Autumn 2011 - acreditation, spring 2012 - acreditation, Autumn 2012, Autumn 2013, Autumn 2015, autumn 2017, Autumn 2019, autumn 2021, Autumn 2023.
  • Enrolment Statistics (Autumn 2005, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2005/F9370