2DBlack hole and holographic renormalization group
Author(s) -
Satabhisa Dasgupta,
Tathagata Dasgupta
Publication year - 2008
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2008/02/107
Subject(s) - fixed point , renormalization group , physics , mathematical physics , scalar field , black hole (networking) , infrared fixed point , scalar (mathematics) , field (mathematics) , ultraviolet fixed point , flow (mathematics) , quantum mechanics , quantum , quantum gravity , mathematical analysis , mathematics , thermal quantum field theory , geometry , pure mathematics , mechanics , computer network , routing protocol , routing (electronic design automation) , computer science , link state routing protocol
In hep-th/0311177, the Large $N$ renormalization group (RG) flows of amodified matrix quantum mechanics on a circle, capable of capturing effects ofnonsingets, were shown to have fixed points with negative specific heat. Thecorresponding rescaling equation of the compactified matter field with respectto the RG scale, identified with the Liouville direction, is used to extractthe two dimensional Euclidean black hole metric at the new type of fixedpoints. Interpreting the large $N$ RG flows as flow velocities in holographicRG in two dimensions, the flow equation of the matter field around the blackhole fixed point is shown to be of the same form as the radial evolutionequation of the appropriate bulk scalar coupled to 2D black hole.Comment: 21 page
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