Non-Abelian Stokes theorem in action
arXiv:math-ph/0012035
Abstract
In this short review main issues related to the non-Abelian Stokes theorem have been addressed. The two principal approaches to the non-Abelian Stokes theorem, operator and two variants (coherent-state and holomorphic) of the path-integral one, have been formulated in their simplest possible forms. A recent generalization for a knotted loop as well as a suggestion concerning higher-degree forms have been also included. Non-perturbative applications of the non-Abelian Stokes theorem, to (semi-)topological gauge theories, have been presented.
46 pages, 5 pictures, 1 EPS figure, several references added, minor changes
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Cited by in corpus (10)
- Path-Independent Quantum Gates with Noisy Ancilla
- Hot QCD, k-strings and the adjoint monopole gas model
- The time-dependent non-Abelian Aharonov-Bohm effect
- On Non-Abelian Holonomies
- Dynamics in canonical models of loop quantum gravity
- On the non-Abelian Stokes theorem for SU(2) gauge fields
- ABJ anomaly as a U(1) symmetry and Noether's theorem
- Quantum integrability: Lagrangian 1-form case
- An Action For Chan-Paton Factors
- On two dimensional non-abelian chiral lattice gauge theories in Ginsparg-Wilson formalism