Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-02-19
Class.Quant.Grav.9:1121-1150,1992
Physics
High Energy Physics
High Energy Physics - Theory
40 pages
Scientific paper
10.1088/0264-9381/9/5/002
Quantization of the free Maxwell field in Minkowski space is carried out using a loop representation and shown to be equivalent to the standard Fock quantization. Because it is based on coherent state methods, this framework may be useful in quantum optics. It is also well-suited for the discussion of issues related to flux quantization in condensed matter physics. Our own motivation, however, came from a non-perturbative approach to quantum gravity. The concrete results obtained in this paper for the Maxwell field provide independent support for that approach. In addition, they offer some insight into the physical interpretation of the mathematical structures that play, within this approach, an essential role in the description of the quantum geometry at Planck scale.
Ashtekar Abhay
Rovelli Carlo
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