PIRSA:12090038

Combinatorics and the thermodynamic limit for black holes in Loop Quantum Gravity

Barbero, F. (2012). Combinatorics and the thermodynamic limit for black holes in Loop Quantum Gravity. Perimeter Institute. https://pirsa.org/12090038

Barbero, Fernando. Combinatorics and the thermodynamic limit for black holes in Loop Quantum Gravity. Perimeter Institute, Sep. 13, 2012, https://pirsa.org/12090038 

          @misc{ pirsa_PIRSA:12090038,
            doi = {10.48660/12090038},
            url = {https://pirsa.org/12090038},
            author = {Barbero, Fernando},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Combinatorics and the thermodynamic limit for black holes in Loop Quantum Gravity},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {sep},
            note = {PIRSA:12090038 see, \url{https://pirsa.org}}
          }

Fernando Barbero Spanish National Research Council (CSIC)

DOI 10.48660/12090038
Collection
Talk Type Scientific Series
Subject

Abstract

The combinatorial problems associated with the counting of black hole states in loop quantum gravity can be analyzed by using suitable generating functions. These not only provide very useful tools for exact computations, but can also be used to perform an statistical analysis of the black hole degeneracy spectrum, study the interesting substructure found in the entropy of microscopic black holes and its asymptotic behavior for large horizon areas. The methods that will be described are relevant for the discussion of the thermodynamic limit for black holes in the area canonical ensemble. This is an important issue in order to understand sub-leading corrections to the Bekenstein-Hawking law.