Nataliya Porayko (SAI MSU): Gravitational waves in cosmology and astrophysics
Lectures
- Introduction. Linearised theory of gravitational waves. Harmonic and TT gauges. Polarisation of gravitational waves. Effect of gravitational waves on the test mass.
- Sources of gravitational waves. Generation of gravitational waves in linearised theory. Astrophysical sources of gravitational waves.
- Cosmological gravitational wave background. GWs in expanding Universe. Mathematical description of stochastic GW background and its sources in the early Universe.
- GW detectors. Response of ground-based interferometers. Response of pulsar timing arrays.
Recomended literature
- M. Maggiore, 2008, Gravitational Waves, Oxford University Press
- C. Misner, K. Thorne, J. Wheeler, 1973, Freeman and Company
- C. Caprini, D.G. Figueroa, 2018, Classical and Quantum Gravity, 35, 163001
- B.F. Schutz, F. Ricci, 2010, arXiv:1005.4735
Mikhail Volkov (U. Tours): Topological objects in early Universe
Lectures
- Kinks and domain walls
- Derrick’s theorem, textures
- Skyrmeons
- Magnetic vortices, cosmic strings
- Magnetic monopoles
Recomended literature
- R. Rajaraman "Solitons and Instantons"
- N.Manton, P.Sutcliff "Topological solitons"
Sergey Demidov (INR RAS): FIMPs: models, cosmology and phenomenology
Lectures
- FIMPs vs WIMPs as dark matter candidates
- BSM models of FIMPs
- Searches for FIMPs at collider and beam dump experiments
Recomended literature
- V. Rubakov & D. Gorbunov "Introduction to the Theory of the Early Universe"
- M. E.Peskin, D. V. Schroeder "An Introduction to Quantum Field Theory"
Alexander Bednyakov (JINR): Effective potential in quantum field theory and metastability of electroweak vacuum
Lectures
- Effective action and effective potential
- Computing effective potential at one loop and beyond
- Effective potential in the Standard Model
- Stability of the electroweak vacuum
- False vacuum decay and the Universe's lifetime
Recomended literature
- M. E.Peskin, D. V. Schroeder, "An Introduction to Quantum Field Theory", Part II, Chapters 9-12
- V.A. Rubakov "Classical Theory of Gauge Fields,"Part II, Chapters 11-12, Appendix A.1
Addditional literature
- Marc Sher, "Electroweak Higgs Potentials and Vacuum Stability", Phys.Rept. 179 (1989) 273-418
- D. Buttazzo et al. "Investigating the near-criticality of the Higgs boson," JHEP 12 (2013) 089 [arXiv:1307.3536]
- A.Andreassen, D.Farhi, M.D. Schwartz, "Consistent Use of Effective Potentials,,' Phys.Rev.D 91 (2015) 1, 016009 [arXiv:1408.0287]]
- A.Andreassen, D.Farhi, W. Frost, M.D. Schwartz, "Precision decay ratecalculations in quantum field theory,'' Phys.Rev.D 95 (2017) 8, 085011 ,[arXiv:1604.0609]
Edvard Musaev (JINR, MIPT): Supergravity and particle physics
Lectures
- General problems of dimensional reduction and moduli stabilization: example of 6 → 4 dimensions and the volume modulus
- Indroduction to string theory and supergravity: spectrum of open and closed strings
- Dp-branes in string theory and supergravity
- Particle physics models from intersecting Dp-branes
- Brane-World inflation models
- Dimensional reduction on a Calabi-Yau threefold: scalar potential and the KKLT model
Key concepts required to understand the lectures
- Differential forms and formalism of exterior derivatives
- Action of nonlinear Sigma-models
- Spinors in 4 and 10 dimensions, Lorentz group representetions
Recomended literature
- B.A.Dubrovin, A.T.Fomenko, S.P.Novikov. "Modern Geometry. Methods and Applications"
- H.Georgi "Lie Algebras in Particle Physics"
- M.Rausch de Traubenberg "Clifford Algebras in Physics", hep-th/0506011
- D.Tong "String Theory"
