Victor Braguta (JINR): Introduction to Lattice QCD
Plan of lectures:
1. Scalar field and fermions on the lattice.
2. Building lattice gauge theory.
3. Metropolis and Hybrid Monte Carlo algorithms in the lattice simulation.
4. Yang-Mills theory at strong coupling.
5. Vacuum properties and confinement.
6. Thermal phase transitions in QCD.
7. Renormalization group on the lattice.
Recommended literature
- M. E.Peskin, D. V. Schroeder, "An Introduction to Quantum Field Theory". Topics: gauge field quantization, renormalization, renormalization group, path integral
- J.I. Kapusta, Ch. Gale, "Finite-temperature field theory", Chapters 1-3
- R. Feynman, Statistical mechanics
Anastasia Golubtsova (JINR): Holographic RG flows and their uses.
Course lectures:
1. AdS/CFT, symmetry breaking and the idea of holographic RG.
2. Domain walls; interpolation between UV and IR CFTs.
3. The holographic beta function, c-function.
4. Finite temperature: black holes in AdS.
5. RG flows at T ≠ 0: thermal scale and phase transition.
6. Applications: holographic QGP, black hole interior, cosmology.
Recommended literature
1.L.D. Landau, E.M. Lifshitz "Field theory" (II) (gravity related parts);
2.V.A. Rubakov V.A. Classical gauge fields I - boson theories;
3.B.A.Dubrovin, A.T.Fomenko, S.P.Novikov. "Modern Geometry. Methods and
Applications";
4.M. E.Peskin, D. V. Schroeder "An Introduction to Quantum Field Theory",
Frontiers in Physics, 1995;
5.D. Z.Freedman, S. D. Mathur, A. Matusis and L. Rastelli, ``Correlation
functions in the CFT(d) / AdS(d+1) correspondence,'' Nucl. Phys. B 546
(1999), 96-118; [arXiv:hep-th/9804058 [hep-th]];
6.I. R. Klebanov and E. Witten,``AdS / CFT correspondence and symmetry
breaking,''Nucl. Phys. B 556 (1999), 89-114; [arXiv:hep-th/9905104 [hep-th]];
7.J. de Boer, E. P. Verlinde and H. L. Verlinde,``On the holographic
renormalization group,'' JHEP 08 (2000), 003; [arXiv:hep-th/9912012 [hep-th]];
8.K. Skenderis, "Lecture Notes on Holographic Renormalization";
arxiv:hep-th/0209067.
Nikolai Nikitin (SINP MSU): Quantum entanglement in Particle Physics experiments
Preliminary list of lectures:
1. Density matrix, entanglement and all that.
2. Local Realism and Bell inequalities.
3. The possibility of the Bell inequalities violations in particle physics.
4. Classicality and Wigner inequalities. Violation of Wigner inequalities in particle physics.
5. Experimental observation of entanglement in the t bar-t system.
To understand my course, students need to have some background knowledge of the entangled states, the density matrix techniques in quantum mechanics, the properties of elementary particles (the "zoology" of fundamental particles, scattering cross sections and decay widths calculations, description of particles polarizations), an understanding of the mechanism of oscillations of neutral pseudoscalar mesons.
Recommended literature:
1. Blum K., ‘’Density matrix theory and applications’’, Springer, Berlin, 2012.
2. Audretsch J., “Entangled Systems”, WILEY-VCH Verlag GmbH, Germany, 2007.
3. Ho-Kim Q., Yem P.X., “Elementary Particles and Their Interactions”, Springer, 1998.
4. Okun L.B., “Leptons and Quarks”, Elsevier Science Ltd, 1982.
5. Horodecki R., Horodecki P., Horodecki M., Horodecki K., “Quantum entanglement”, Rev. Mod. Phys. 81, 865 (2009).
6. Bell J.S., “Speakable and Unspeakable in Quantum Mechanics. Collected Papers on Quantum Philosophy”, CUP 2011.
7. Holevo A.S., “Quantum Systems, Channels, Information: A Mathematical Introduction (Texts and Monographs in Theoretical Physics)”, De Gruyter, 2019.
8. A lot of additional information can be found in the lectures: N.V. Nikitin, “Density Matrix and its Application in Quantum Mechanics”, https://teach-in.ru/course/density-matrix-and-its-application-nikitin
Sergey Sibiryakov (Perimeter Inst. Theor. Phys.): Cosmological perturbations in linear and non-linear regimes
Sergey Sushkov (KSU): Cosmology with modified gravity
Preliminary list of lectures:
1. Introduction into General Relativity (GR). Friedmann cosmology. Standard
LambdaCDM model. Problems of standard cosmology.
2. Scalar-tensor theory of gravity (STT). Brans-Dicke theory. Generalized
scalar-tensor theories. Conformal transformation techniques. Jordan and
Einstein frames.
3. Some exact solutions of scalar-tensor cosmology. The early Universe.
Inflation. The present acceleration of the Universe and quintessence.
4. Non-minimal coupling. Horndeski theory. Models with non-minimal
derivative coupling. Kinetic inflation.
5. A brief overview of other GR modifications.
Recommended literature:
Ландау Л.Д., Лифшиц Е.М. Теория поля. М.: Наука. Гл. ред. физ.-мат. Лит.,
1988 (in Russian)
https://inp.nsk.su/~telnov/mech/uchebniki/Landau-TeorFiz_t2_Pole.pdf
[inp.nsk.su].
Landau L.D., Lifschits E.M. The Classical Theory of Fields. Pergamon Press,
1975 doi:10.1016/c2009-0-14608-1.
Горбунов Д. С., Рубаков В. А. Введение в теорию ранней Вселенной: Теория
горячего Большого взрыва. 2016.
Вайнберг С. Космология. М.: УРСС: Книжный дом «ЛИБРОКОМ», 2013 (in Russian);
Weinberg S. Cosmology, Oxford Uпiversity Press, 2008.
Baumann, D. (2022). Cosmology. Cambridge: Cambridge University Press.
https://doi.org/10.1017/9781108937092.
Faraoni V. Cosmology in Scalar-Tensor Gravity. Kluwer Academic Publishers,
2004.
Fujii Y., Maeda K. The Scalar-Tensor Theory of Gravitation. Cambridge
University Press, 2004.
Quiros I. Selected topics in scalar-tensor theories and beyond. Int. J. Mod.
Phys. D 28, no.07, 1930012 (2019); [arXiv:1901.08690 [gr-qc]].
