F9370 Quantum gravitation

Faculty of Science
Autumn 2015
Extent and Intensity
3/0/0. 2 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
Teacher(s)
doc. Franz Hinterleitner, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: doc. Franz Hinterleitner, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable
Tue 13:00–15:50 FLenc,03028
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. Aims: knowledge of canonical general relativity; quantum geometry; discrrteness of space; problem of time evolution; cosmology
Syllabus
  • Noncompatibility of quantum theory and general relativity: non-linearity, non-renormalizability of perturbative quantum gravity, dynamický prostoročas, vazby.
  • Ashtekar variables, Wilson loops, basíc quantum operators, orthonormal basis of quantum states - spin networks.
  • Gauge and diffeomorphism invariance, operators of geometry: surface and volume. Hamilton constraint and the problem of time evolution, "spin foam".
  • Black hole entropy, quantum cosmology, regularization of cosmic singularities in quantum geometry.
Literature
  • ROVELLI, Carlo. Quantum gravity. Cambridge: Cambridge University Press, 2004, xxiii, 455. ISBN 0521837332. info
  • GAMBINI, Rodolfo and Jorge PULLIN. Loops, knots, gauge theories and quantum gravity. 1st pbk. pub. Cambridge: Cambridge University Press, 2000, xvi, 321. ISBN 0521654750. info
  • SMOLIN, Lee. Three roads to quantum gravity. New York: Basic Books, 2001, viii, 245. ISBN 0465078362. info
Assessment methods
oral exam
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
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 2005, Autumn 2007, Autumn 2009, Autumn 2011, Autumn 2011 - acreditation, spring 2012 - acreditation, Autumn 2012, Autumn 2013, autumn 2017, Autumn 2019, autumn 2021, Autumn 2023.
  • Enrolment Statistics (Autumn 2015, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2015/F9370