Konishi operator at intermediate coupling

Frolov, Sergey

doi:10.1088/1751-8113/44/6/065401

Konishi operator at intermediate coupling

Sergey Frolov
(
- Trinity Coll., Dublin
)

Jun, 2010

38 pages

Published in:

J.Phys.A 44 (2011) 065401

e-Print:

1006.5032 [hep-th]

DOI:

10.1088/1751-8113/44/6/065401

Report number:

TCDMATH-10-05,
HMI-10-03

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Abstract: (arXiv)

TBA equations for two-particle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to 't Hooft's coupling lambda ~ 2046. The data obtained is used to analyze the properties of Y-functions and address the issue of the existence of the critical values of the coupling. In addition we find a new integral representation for the BES dressing phase which substantially reduces the computational time.

Note:

lots of figures, v2: improved numerics, c1=2, c2=0, c4 does not vanish

operator: Konishi
BES
numerical calculations
expansion: strong coupling
mirror: model
string: spectrum
fermion: model
field theory: conformal
expansion: weak coupling
string model

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