F8290 Cosmology

Faculty of Science
Spring 2011 - only for the accreditation
Extent and Intensity
2/1. 2 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
Teacher(s)
doc. Mgr. Josef Klusoň, Ph.D., DSc. (lecturer)
prof. RNDr. Michal Lenc, Ph.D. (lecturer)
doc. Mgr. Josef Klusoň, Ph.D., DSc. (seminar tutor)
prof. RNDr. Michal Lenc, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Michal Lenc, Ph.D.
Prerequisites
Basic knowledge of classical field theory and general relativity.
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
The goal of this lecture is to give basic background of ideas and principles of modern cosmology to interested students that will be able to perform their own study and research of this part of theoretical physics where general relativity overlaps quantum field theory.
Syllabus
  • 1. Introduction to General Relativity 2. Introduction to Cosmology 2.1 More general form of matter 3. Horizons 4. Matter 4.1 The Cosmic Microwave Background 4.2 The Cosmological Constant Problem 4.3 Dark Energy 5. Early Times in the Standard Cosmology 5.1 Describing Matter 5.2 Particles in Equilibrium 6. Thermal relics 6.1 Baryogenesis 6.2 Baryon Number Violation 7. Field theory and potential 7.1 The Lagrangian 7.2 Internal symmetry 7.2.1 Coninuos and discrete symmetries 7.2.2 Spontaneously broken symmetry and VEVS 7.2.3 Explicitly broken global symmetries 7.2.4 The restoration of a spontaneously broken internal symmetry 7.2.5 Quantum corrections to the potential 7.2.6 Gauge coupling unification and the Planck scale 7.2.7 The oneloop correction 5 7.3 Nonpertubative effects 7.4 Flatness requirements on the treelevel potential 8. Inflation Cosmology 8.1 Unified Theories of Elementary Particles and Inflationary Universe Scenario 8.1.1 Scalar field and Symmetry breaking 9. Chaotic inflation 10. Problems of the standard BigBang model 11. Inflation as a solution 11.1 The General Idea of Inflation 11.2 Slowly Rolling Scalar Fields 11.3 Attractor Solutions in Inflation 11.4 Solving the problems of standard cosmology 11.5 Reheating and Preheating 11.6 The Beginnings of Inflation 12. Quantum fluctuations 13. String theory and Cosmology 14. VafaTseytlin cosmology 14.1 String theory dualities 14.2 BV model 15. Pre big bang cosmology 15.1 Scale factor duality 16. Witten-Ovrut cosmology
Literature
  • Lekce a srhnující články dostupne na http://www.livingreviews.org/
  • Lekce a shrnující články dostupné na http://xxx.lanl.gov/archive/gr-qc
Teaching methods
Lectures.
Assessment methods
Oral exam
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught once in two years.
The course is taught: every week.
General note: S.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2007, Spring 2008, Spring 2009, Spring 2011, spring 2012 - acreditation, Spring 2013, Spring 2015, Spring 2017, Spring 2019, Spring 2021, Spring 2022, Spring 2024.