Einstein-Maxwell theory in \(2+1\) dimensions. (English) Zbl 0733.53062
Summary: Einstein-Maxwell theory in \(2+1\) dimensions is considered as a toy model for the \(3+1\) theory and as a means for understanding field theories without a background space-time geometry. Two possible approaches to the quantization of this theory are presented, one based on a Schwinger- Tomonaga time evolution equation and the other on a loop space construction, and the problem arising in both of these are discussed.
MSC:
| 53C80 | Applications of global differential geometry to the sciences |
| 81T70 | Quantization in field theory; cohomological methods |
Keywords:
Einstein-Maxwell theory; field theories; quantization; time evolution equation; loop space constructionReferences:
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