Refined Algebraic Quantization: Systems with a single constraint

Donald Marolf

Banach Center Publications (1997)

  • Volume: 39, Issue: 1, page 331-344
  • ISSN: 0137-6934

Abstract

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This paper explores in some detail a recent proposal (the Rieffel induction/refined algebraic quantization scheme) for the quantization of constrained gauge systems. Below, the focus is on systems with a single constraint and, in this context, on the uniqueness of the construction. While in general the results depend heavily on the choices made for certain auxiliary structures, an additional physical argument leads to a unique result for typical cases. We also discuss the 'superselection laws' that result from this scheme and how their existence also depends on the choice of auxiliary structures. Again, when these structures are chosen in a physically motivated way, the resulting superselection laws are physically reasonable.

How to cite

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Marolf, Donald. "Refined Algebraic Quantization: Systems with a single constraint." Banach Center Publications 39.1 (1997): 331-344. <http://eudml.org/doc/208672>.

@article{Marolf1997,
abstract = {This paper explores in some detail a recent proposal (the Rieffel induction/refined algebraic quantization scheme) for the quantization of constrained gauge systems. Below, the focus is on systems with a single constraint and, in this context, on the uniqueness of the construction. While in general the results depend heavily on the choices made for certain auxiliary structures, an additional physical argument leads to a unique result for typical cases. We also discuss the 'superselection laws' that result from this scheme and how their existence also depends on the choice of auxiliary structures. Again, when these structures are chosen in a physically motivated way, the resulting superselection laws are physically reasonable.},
author = {Marolf, Donald},
journal = {Banach Center Publications},
keywords = {refined algebraic quantization scheme; superselection laws; constrained gauge systems},
language = {eng},
number = {1},
pages = {331-344},
title = {Refined Algebraic Quantization: Systems with a single constraint},
url = {http://eudml.org/doc/208672},
volume = {39},
year = {1997},
}

TY - JOUR
AU - Marolf, Donald
TI - Refined Algebraic Quantization: Systems with a single constraint
JO - Banach Center Publications
PY - 1997
VL - 39
IS - 1
SP - 331
EP - 344
AB - This paper explores in some detail a recent proposal (the Rieffel induction/refined algebraic quantization scheme) for the quantization of constrained gauge systems. Below, the focus is on systems with a single constraint and, in this context, on the uniqueness of the construction. While in general the results depend heavily on the choices made for certain auxiliary structures, an additional physical argument leads to a unique result for typical cases. We also discuss the 'superselection laws' that result from this scheme and how their existence also depends on the choice of auxiliary structures. Again, when these structures are chosen in a physically motivated way, the resulting superselection laws are physically reasonable.
LA - eng
KW - refined algebraic quantization scheme; superselection laws; constrained gauge systems
UR - http://eudml.org/doc/208672
ER -

References

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