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This document proposes a self-dual deformation of the classical phase space of lattice Yang-Mills theory. It reviews the construction of quasi-Hamiltonian spaces, which allows both electric and magnetic fluxes to be encoded as Lie group variables. This results in a finite-dimensional and gauge-invariant phase space with enhanced self-duality properties in 3+1 dimensions. The phase space corresponds to the moduli space of an auxiliary flat connection on a Riemann surface defined by the lattice. The paper discusses implications for quantizing the phase space and interpreting it in the context of loop quantum gravity and topological field theories.
Detailed Information
| Author: | ['Jack Ignacio Nahmías'] |
|---|---|
| Publication Year: | 2017 |
| Pages: | 38 |
| Language: | English |
| Format: | |
| Price: | FREE |
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