English

Loop Variable Inequalities in Gravity and Gauge Theory

General Relativity and Quantum Cosmology 2010-04-06 v1 High Energy Physics - Theory

Abstract

We point out an incompleteness of formulations of gravitational and gauge theories that use traces of holonomies around closed curves as their basic variables. It is shown that in general such loop variables have to satisfy certain inequalities if they are to give a description equivalent to the usual one in terms of local gauge potentials.

Keywords

Cite

@article{arxiv.gr-qc/9303028,
  title  = {Loop Variable Inequalities in Gravity and Gauge Theory},
  author = {R. Loll},
  journal= {arXiv preprint arXiv:gr-qc/9303028},
  year   = {2010}
}

Comments

10pp., TeX, Syracuse SU-GP-93/3-2