MU08101 Canonical Formalism of Classical Mechanics and Field Theory

Mathematical Institute in Opava
Winter 2011
Extent and Intensity
2/1/0. 5 credit(s). Type of Completion: zk (examination).
Guaranteed by
prof. RNDr. Artur Sergyeyev, Ph.D., DSc.
Mathematical Institute in Opava
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
Within the framework of classical mechanics and field theory, these lectures focus on the gauge-invariant systems and the associated BRST-transformations.
Syllabus
  • Hamiltonian systems with constraints, geometry of the constraint submanifolds, gauge invariance of the action, generally covariant systems, first-class constraints, fermionic degrees of freedom, constraints with the fermionic degrees of freedom, graded differential algebras, the algebraic structure of the BRST symmetry, the BRST construction for the reducible and irreducible case, the dynamics of ghosts - the actions with the choice of gauge, the BRST transformation in field theory.
Literature
    recommended literature
  • M. Henneaux, C. Teitelboim. Quantization of Gauge Systems. Princeton University Press, Princeton, 1994. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
Oral exam; further requirements to be specified in the course of the semester.
The course is also listed under the following terms Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2010.
  • Enrolment Statistics (recent)
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