Holography on tessellations of hyperbolic space

Muhammad Asaduzzaman; Simon Catterall; Jay Hubisz; Roice Nelson; Judah Unmuth-Yockey

Holography on tessellations of hyperbolic space

Muhammad Asaduzzaman, Simon Catterall, Jay Hubisz, Roice Nelson, Judah Unmuth-Yockey

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We compute boundary correlation functions for scalar fields on tessellations of two- and three-dimensional hyperbolic geometries. We present evidence that the continuum relation between the scalar bulk mass and the scaling dimension associated with boundary-to-boundary correlation functions survives the truncation of approximating the continuum hyperbolic space with a lattice.

Original language	English (US)
Journal	Unknown Journal
State	Published - May 26 2020

ASJC Scopus subject areas

General

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title = "Holography on tessellations of hyperbolic space",

abstract = "We compute boundary correlation functions for scalar fields on tessellations of two- and three-dimensional hyperbolic geometries. We present evidence that the continuum relation between the scalar bulk mass and the scaling dimension associated with boundary-to-boundary correlation functions survives the truncation of approximating the continuum hyperbolic space with a lattice.",

author = "Muhammad Asaduzzaman and Simon Catterall and Jay Hubisz and Roice Nelson and Judah Unmuth-Yockey",

year = "2020",

month = may,

day = "26",

language = "English (US)",

journal = "Nuclear Physics A",

issn = "0375-9474",

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T1 - Holography on tessellations of hyperbolic space

AU - Asaduzzaman, Muhammad

AU - Catterall, Simon

AU - Hubisz, Jay

AU - Nelson, Roice

AU - Unmuth-Yockey, Judah

PY - 2020/5/26

Y1 - 2020/5/26

N2 - We compute boundary correlation functions for scalar fields on tessellations of two- and three-dimensional hyperbolic geometries. We present evidence that the continuum relation between the scalar bulk mass and the scaling dimension associated with boundary-to-boundary correlation functions survives the truncation of approximating the continuum hyperbolic space with a lattice.

AB - We compute boundary correlation functions for scalar fields on tessellations of two- and three-dimensional hyperbolic geometries. We present evidence that the continuum relation between the scalar bulk mass and the scaling dimension associated with boundary-to-boundary correlation functions survives the truncation of approximating the continuum hyperbolic space with a lattice.

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JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

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