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Quantization of Gauge Systems
Contents
Context
Physics
-Lie theory
∞-Lie theory (higher geometry)
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Related topics
Examples
-Lie groupoids
-Lie groups
-Lie algebroids
-Lie algebras
This entry is about the textbook:
on the BRST-BV formalism for describing gauge theories in the generality of constrained Hamiltonian mechanics of field theories deriving from a Lagrangian density.
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
13) Quantum mechanics of constrained systems: standard operator methods
14) BRST operator method – quantum BRST cohomology
15) Path integral for unconstrained systems
15.1 Path Integral Method of Bose Systems – Basic Feature
15.1.4 Equations of motion – Schwinger-Dyson-Equation
15.5.2 Antibracket
15.5.3 Schwinger-Dyson operator
16) Path integral for constrained systems
17.1) Covariant phase space
17.2) Koszul-Tate resolution and longitudinal
17.3) BRST symmetry – master equation
17.4) Gauge invariance of the solution of the master equation
20) Complementary material
Last revised on December 23, 2023 at 09:13:10.
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