Last update: Mgr. Dalibor Šmíd, Ph.D. (12.05.2018)
Batalin-Vilkovisky formalism is used in theory of operads and in gauge theories. We shall introduce the BRST and
BV formalisms. The course is aimed at Masters and PhD students of mathematics and physics.
Last update: Mgr. Dalibor Šmíd, Ph.D. (12.05.2018)
Batalin-Vilkoviského formalismus je využívaný například v teorii operád či v kalibračních teoriích. Cílem přednášky
je seznámit se s BRST a BV formalismem. Přednáška je určena studentům matematiky a fyziky doktorského či
magisterského studia.
Course completion requirements -
Last update: Mgr. Dalibor Šmíd, Ph.D. (28.10.2019)
Oral examination.
Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (11.06.2019)
Předmět je zakončen ústní zkouškou.
Literature -
Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (28.06.2018)
Joaquim Gomis, Jordi Paris, Stuart Samuel, Antibracket, Antifields and Gauge-Theory Quantization, Phys.Rept. 259 (1995) 1-145
Albert Schwarz, Geometry of Batalin-Vilkovisky quantization, Commun.Math.Phys. 155 (1993) 249-260
Marc Henneaux, Claudio Teitelboim, M.Quantization of Gauge Systems, Princeton University Press, 1994
Alexandrov, M. Kontsevich, A. Schwarz, O. Zaboronsky, The Geometry of the Master Equation and Topological Quantum Field Theory, Int.J.Mod.Phys. A12 (1997) 1405-1430
Steven Weinberg, The Quantum Theory of Fields, Volume 2: Modern Applications, Cambridge University Press, 2005
ALBERTO S. CATTANEO and FLORIAN SCHÄTZ, INTRODUCTION TO SUPERGEOMETRY, Rev. Math. Phys. 23, 669 (2011)
Kevin Costello, Renormalization and Effective Field Theory, American Mathematical Society, 2011
Bertram Kostant, Shlomo Sternberg, Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras, Annals of Physics, Volume 176, Issue 1, 15 May 1987, Pages 49-113
Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (14.05.2019)
Joaquim Gomis, Jordi Paris, Stuart Samuel, Antibracket, Antifields and Gauge-Theory Quantization, Phys.Rept. 259 (1995) 1-145
Albert Schwarz, Geometry of Batalin-Vilkovisky quantization, Commun.Math.Phys. 155 (1993) 249-260
Marc Henneaux, Claudio Teitelboim, M.Quantization of Gauge Systems, Princeton University Press, 1994
Alexandrov, M. Kontsevich, A. Schwarz, O. Zaboronsky, The Geometry of the Master Equation and Topological Quantum Field Theory, Int.J.Mod.Phys. A12 (1997) 1405-1430
Steven Weinberg, The Quantum Theory of Fields, Volume 2: Modern Applications, Cambridge University Press, 2005
ALBERTO S. CATTANEO and FLORIAN SCHÄTZ, INTRODUCTION TO SUPERGEOMETRY, Rev. Math. Phys. 23, 669 (2011)
Kevin Costello, Renormalization and Effective Field Theory, American Mathematical Society, 2011
Bertram Kostant, Shlomo Sternberg, Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras, Annals of Physics, Volume 176, Issue 1, 15 May 1987, Pages 49-113
Teaching methods -
Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (28.10.2019)
Guided reading, presenations by participants
Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (28.10.2019)
Řízené čtení, presentace studentů.
Requirements to the exam -
Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (28.10.2019)
The questions during an oral exam will concern the most iportant parts of the subject. Further details will be specified during the semester.
Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (28.10.2019)
Otázky ustní zkoušky budou zaměřeny na nejůležitejší temata předětu. Další podrobnosti budou upřesneny v průběhu semestru.
Syllabus -
Last update: prof. Ing. Branislav Jurčo, CSc., DSc. (14.05.2019)