Worldsheet formulations of gauge theories and gravity
| dc.creator | Reisenberger, Michael | |
| dc.date | 1994-12-12 | |
| dc.date.accessioned | 2026-07-07T03:30:34Z | |
| dc.date.available | 2026-07-07T03:30:34Z | |
| dc.description | The evolution operator for states of gauge theories in the graph representation (closely related to the loop representation of Gambini and Trias, and Rovelli and Smolin) is formulated as a weighted sum over worldsheets interpolating between initial and final graphs. As examples, lattice $SU(2)$ BF and Yang-Mills theories are expressed as worldsheet theories, and (formal) worldsheet forms of several continuum $U(1)$ theories are given. It is argued that the world sheet framework should be ideal for representing GR, at least euclidean GR, in 4 dimensions, because it is adapted to both the 4-diffeomorphism invariance of GR, and the discreteness of 3-geometry found in the loop representation quantization of the theory. However, the weighting of worldsheets in GR has not yet been found. | |
| dc.description | Expanded version of talk given at the 7th Marcel Grossmann Meeting Stanford, July 94. Gives results obtained + sketches of derivations - does not give all proofs. Latex 20 pages, 8 uuencoded postscript figures. Uses macro psfig.tex available from this archive (and appended to this posting for you convenience). After latexing use dvips -not- dvi2ps to get postscript file | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9412035 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9412035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35570 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Worldsheet formulations of gauge theories and gravity | |
| dc.type | text |