TY - JOUR

T1 - Geometric Monte Carlo and black Janus geometries

AU - Bak, Dongsu

AU - Kim, Chanju

AU - Kim, Kyung Kiu

AU - Min, Hyunsoo

AU - Song, Jeong Pil

N1 - Funding Information:
D.B. was supported in part by 2016 Research Fund of University of Seoul. K.K. was supported by NRF Grant 2015R1D1A1A01058220. H.M. was supported by the 2015 sabbatical-year-research-grant of University of Seoul.
Publisher Copyright:
© 2017 The Authors

PY - 2017/4/10

Y1 - 2017/4/10

N2 - We describe an application of the Monte Carlo method to the Janus deformation of the black brane background. We present numerical results for three and five dimensional black Janus geometries with planar and spherical interfaces. In particular, we argue that the 5D geometry with a spherical interface has an application in understanding the finite temperature bag-like QCD model via the AdS/CFT correspondence. The accuracy and convergence of the algorithm are evaluated with respect to the grid spacing. The systematic errors of the method are determined using an exact solution of 3D black Janus. This numerical approach for solving linear problems is unaffected initial guess of a trial solution and can handle an arbitrary geometry under various boundary conditions in the presence of source fields.

AB - We describe an application of the Monte Carlo method to the Janus deformation of the black brane background. We present numerical results for three and five dimensional black Janus geometries with planar and spherical interfaces. In particular, we argue that the 5D geometry with a spherical interface has an application in understanding the finite temperature bag-like QCD model via the AdS/CFT correspondence. The accuracy and convergence of the algorithm are evaluated with respect to the grid spacing. The systematic errors of the method are determined using an exact solution of 3D black Janus. This numerical approach for solving linear problems is unaffected initial guess of a trial solution and can handle an arbitrary geometry under various boundary conditions in the presence of source fields.

UR - http://www.scopus.com/inward/record.url?scp=85013301570&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2017.02.026

DO - 10.1016/j.physletb.2017.02.026

M3 - Article

AN - SCOPUS:85013301570

SN - 0370-2693

VL - 767

SP - 341

EP - 346

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -