2020/10/31 by Mohsen Alishahiha, Amin Faraji Astaneh, Ghadir Jafari +2 · 2 citations
Mathematics · Physics and Astronomy · #Airy function #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Energy (signal processing) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Partition function (quantum field theory) #Physics #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.103.046005
published as Phys. Rev. D 103, 046005 (2021) · 26 pages, 4 figures. fig.4 is updated. more explanations and clarifying comments about dual matrix model, more references, published version
openalex created_date 2020/10/08 · openalex publication_date 2021/02/08 · arxiv created 2021/02/17 · arxiv updated 2021/02/18 · openalex updated_date 2026/08/05
In this paper, we study a particular deformation of the Jackiw-Teitelboim gravity recently considered by Maxfield, Turiaci, and independently by Witten. We will compute the partition function of this model as well as its higher order correlators to all orders in genus expansion in the low temperature limit for small perturbations. In this limit, the results match with those obtained from the Airy limit of a Hermitian random matrix ensemble. Using this result, we will also study the free energy of the model. One observes that although the annealed free energy has pathological behaviors, under certain assumptions, the quenched free energy evaluated by replica trick exhibits the desired properties at low temperatures.