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Quantization of Gauge Systems

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

\infty-Lie theory

∞-Lie theory

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Examples

\infty-Lie groupoids

\infty-Lie groups

\infty-Lie algebroids

\infty-Lie algebras

This entry is about the textbook

on the BRST-BV formalism for describing gauge theories.

Contents

1) Constrained Hamiltonian systems

2) Geometry of the constraint surface

3) Gauge invariance of the action

4) Generally covariant systems

5) First-class constraints: further developments

6) Fermi degrees of freedom: classical mechanics over a Grassmann algebra

7) Constrained systems with fermi variables

8) Graded differential algebra – algebraic structure of the BRST symmetry

9) BRST construction in the irreducible case

10) BRST construction in the reducible case

11) Dynamics of the ghosts – gauge-fixed action

12) The BRST transformation in field theory

13) Quantum mechanics of constrained systems: standard operator methods

14) BRST operator method – quantum BRST cohomology

15) Path integral for unconstrained systems

16) Path integral for constrained systems

17) Antifield formalism: classical theory

17.1) Covariant phase space

17.2) Koszul-Tate resolution and longitudinal dd

17.3) BRST symmetry – master equation

17.4) Gauge invariance of the solution of the master equation

18) Antifield formalism and path integral

19) Free Maxwell theory, abelian two-form gauge field

20) Complementary material

category: reference

Revised on August 16, 2011 04:11:26 by Urs Schreiber (82.113.99.50)