Polymer quantization and the saddle point approximation of partition functions

@article{MoralesTecotl2015PolymerQA,
  title={Polymer quantization and the saddle point approximation of partition functions},
  author={Hugo A. Morales-T'ecotl and Daniel H. Orozco-Borunda and Saeed Rastgoo},
  journal={Physical Review D},
  year={2015},
  volume={92},
  pages={104029}
}
The saddle point approximation of the path integral partition functions is an important way of deriving the thermodynamical properties of black holes. However, there are certain black hole models and some mathematically analog mechanical models for which this method cannot be applied directly. This is due to the fact that their action evaluated on a classical solution is not finite and its first variation does not vanish for all consistent boundary conditions. These problems can be dealt with… 

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