Loop Variable Inequalities in Gravity and Gauge Theory

Details Loop Variable Inequalities in Gravity and Gauge Theory Loop Variable Inequalities in Gravity and Gauge Theory

1993-03-25

arxiv.org/abs/gr-qc/9303028v1

Class.Quant.Grav.10:1471-1476,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1088/0264-9381/10/8/009

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.

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