Lattice and string worldsheet in AdS/CFT: a numerical study - INSPIRE

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Lattice and string worldsheet in AdS/CFT: a numerical study

Valentina Forini
(
- Humboldt U., Berlin
)
,
Lorenzo Bianchi
(
- Hamburg U., Inst. Theor. Phys. II and
- Humboldt U., Berlin
)
,
Marco S. Bianchi
(
- Queen Mary, U. of London
)
,
Björn Leder
(
- Humboldt U., Berlin
)
,
Edoardo Vescovi
(
- Humboldt U., Berlin
)

Jan 18, 2016

7 pages

Part of Proceedings, 33rd International Symposium on Lattice Field Theory (Lattice 2015) : Kobe, Japan, July 14-18, 2015, 244

Published in:

PoS LATTICE2015 (2016) 244

Contribution to:

- Lattice 2015
, 244

Published: Jan 18, 2016 by SISSA

e-Print:

1601.04670 [hep-lat]

DOI:

10.22323/1.251.0244

Report number:

HU-EP-16-04,
QMUL-PH-16-01

View in:

ADS Abstract Service

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Abstract: (arXiv)

We consider a possible discretization for the gauge-fixed Green-Schwarz (two-dimensional) sigma-model action for the Type IIB superstring and use it for measuring the cusp anomalous dimension of planar

\mathcal{N}=4

SYM as derived from string theory. We perform lattice simulations employing a Rational Hybrid Monte Carlo (RHMC) algorithm and a Wilson-like fermion discretization. In this preliminary study, we compare our results with the expected behavior for very large values of

g=\frac{\sqrt{\lambda}}{4\pi}

, which is the perturbative regime of the sigma-model, and find a qualitative agreement at finite lattice spacing. For smaller

g

the continuum limit is obstructed by a divergence. We also detect a phase in the fermion determinant, whose origin we explain, which for small

g

leads to a sign problem not treatable via standard reweigthing. Results presented here are discussed thoroughly in~\cite{toappear}.

Note:

Contribution to the proceedings of Lattice 2015, July 14--18, Kobe, Japan

superstring: Type IIB
AdS/CFT correspondence
fermion: determinant
Monte Carlo: hybrid
numerical calculations
lattice
sigma model
dimension: 2
Green-Schwarz
fermion: Wilson

References(12)

Figures(6)

[1]

to appear

L. Bianchi
,
M.S. Bianchi
,
V. Forini
,
B. Leder
,
E. Vescovi

[2]

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)
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)
,
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(
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)
,
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(
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)
,
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(
- CERN and
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)

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(
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)
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,
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)

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)

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•
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(
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)

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R.R. Metsaev
(
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)
,
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)
,
Arkady A. Tseytlin
(
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)

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S. Giombi
(
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)
,
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(
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)
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(
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)
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