Scaling dimensions from the mirror TBA

Frolov, Sergey

doi:10.1088/1751-8113/45/30/305402

Scaling dimensions from the mirror TBA

Sergey Frolov
(
- Hamilton Math. Inst., Dublin
)

Jan, 2012

22 pages

Published in:

J.Phys.A 45 (2012) 305402

e-Print:

1201.2317 [hep-th]

DOI:

10.1088/1751-8113/45/30/305402

Report number:

TCDMATH-12-01,
HMI-12-01

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Abstract: (arXiv)

The mirror TBA equations proposed by Arutyunov, Suzuki and the author are solved numerically up to 't Hooft's coupling

\lambda\approx 2340

for several two-particle states dual to

{\cal N}=4

SYM operators from the \sl(2) sector. The data obtained for states with mode numbers

n=1,2,3,4

is used to propose a general charge

J

dependent formula for the first nonvanishing subleading coefficient in the strong coupling expansion of scaling dimensions. In addition we find that the first critical and subcritical values of the coupling for the

J=4, n=1

operator are at

\lambda\approx 133

and

\lambda\approx 190

, respectively.

scaling: dimension
expansion: strong coupling
mirror
Yang-Mills
duality
operator: Konishi
fermion: model
numerical calculations
asymptotic expansion

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