Flow equation for the large $N$ scalar model and induced geometries - INSPIRE

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Flow equation for the large $N$ scalar model and induced geometries

Sinya Aoki
(
- Kyoto U., Yukawa Inst., Kyoto and
- Tsukuba U., CCS
)
,
Janos Balog
(
- Wigner RCP, Budapest
)
,
Tetsuya Onogi
(
- Osaka U.
)
,
Peter Weisz
(
- Munich, Max Planck Inst.
)

May 9, 2016

18 pages

Published in:

PTEP 2016 (2016) 8, 083B04

Published: Aug 29, 2016

e-Print:

1605.02413 [hep-th]

DOI:

10.1093/ptep/ptw106

Report number:

YITP-16-56,
MPP-2016-87,
OU-HET-895

View in:

reference search34 citations

Citations per year

Abstract: (Oxford University Press)

We study the proposal that a (d+1)-dimensional induced metric is constructed from a d-dimensional field theory using gradient flow. Applying the idea to the O(N) ϕ4 model and normalizing the flow field, we have shown in the large N limit that the induced metric is finite and universal in the sense that it does not depend on the details of the flow equation and the original field theory except for the renormalized mass, which is the only relevant quantity in this limit. We have found that the induced metric describes Euclidean anti-de Sitter (AdS) space in both ultraviolet (UV) and infrared (IR) limits of the flow direction, where the radius of the AdS is bigger in the IR than in the UV.

Note:

21 pages, 2 figures. We dedicate this work to the memory of Peter Hasenfratz. The revised version for the publication of PTEP

General
Renormalization and renormalization group equation
Solitons, monopoles and instantons, 1/N expansion
Various models of field theory
Theoretical Particle Physics
metric: induced
space: anti-de Sitter
geometry: induced
model: scalar
flow

References(18)

Figures(2)

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(
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