PIRSA:12100053

Understanding black hole entropy through the renormalization group

Satz, A. (2012). Understanding black hole entropy through the renormalization group. Perimeter Institute. https://pirsa.org/12100053

Satz, Alejandro. Understanding black hole entropy through the renormalization group. Perimeter Institute, Oct. 18, 2012, https://pirsa.org/12100053 

          @misc{ pirsa_PIRSA:12100053,
            doi = {10.48660/12100053},
            url = {https://pirsa.org/12100053},
            author = {Satz, Alejandro},
            keywords = {},
            language = {en},
            title = {Understanding black hole entropy through the renormalization group},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {oct},
            note = {PIRSA:12100053 see, \url{https://pirsa.org}}
          }

Alejandro Satz

Talk numberPIRSA:12100053
DOI10.48660/12100053
Collection
Talk Type Scientific Series

Abstract

It is known that the entanglement entropy of quantum fields on the black hole background contributes to the Bekenstein-Hawking entropy,and that its divergences can be absorbed into the renormalization of gravitational couplings. By introducing a Wilsonian cutoff scale and the concepts of the renormalization group, we can expand this observation into a broader framework for understanding black hole entropy. At a given RG scale, two contributions to the black hole entropy can be identified: the "gravitational" contribution coming from the running effective gravitational action, and the entanglement entropy of the quantum degrees of freedom below the cutoff scale. At different RG scales the balance is different, though the total black hole entropy is invariant. I will describe this picture for free fields, considering both minimal and non-mininal coupling, and discuss the extension to interacting fields and the difficulties it raises.