119250353
Leading quantum correction to energy of ‘short’ spiky strings
We consider semiclassical quantization of spiky strings spinning in the AdS3 part of AdS5 × S5 using an integrability-based (algebraic curve) method. In the ‘short-string’ (small-spin) limit the expansion of string energy starts with its flat-space expression. We compute the leading quantum string correction to ‘short’ spiky string energy and find the explicit form of the corresponding one-loop coefficient a01. It turns out to be rational and expressed in terms of the harmonic sums as functions of the number n of spikes. In the special case of n = 2 when the spiky string reduces to the single-folded spinning string, the coefficient a01 takes the value (−1/4) found in Gromov et al (2011 J. High Energy Phys. JHEP08(2011)046). We also consider a similar computation for the m-folded string and more general spiky string with an extra ‘winding’ number, finding similar expressions for a01. These results may be useful for a description of energies of higher excited states in the quantum AdS5 × S5 string spectrum, generalizing earlier discussions of the string counterparts of the Konishi operator.
118314406
Wrapping corrections beyond the sl(2) sector in N=4 SYM
The sl(2) sector of N=4 SYM theory has been much studied and the anomalous dimensions of those operators are well known. Nevertheless, many interesting operators are not included in this sector. We consider a class of twist operators beyond the sl(2) subsector introduced by Freyhult, Rej and Zieme. They are spin n, length-3 operators. At one-loop they can be identified with three gluon operators. At strong coupling, they are associated with spinning strings with two spins in AdS_5 space and charge in S^5. We exploit the Y-system to compute the leading weak-coupling four loop wrapping correction to their anomalous dimension. The result is written in closed form as a function of the spin n. We combine the wrapping correction with the known four loop asymptotic Bethe Ansatz contribution and analyze special limits in the spin n. In particular, at large n, we prove that a generalized Gribov-Lipatov reciprocity holds. At negative unphysical spin, we present a simple BFKL-like equation predicting the rightmost leading poles.
119220328
Polyakov Loop and Gluon Quasiparticles in Yang-Mills Thermodynamics
We study the interpretation of lattice data about the thermodynamics of the deconfinement phase of $SU(3)$ Yang-Mills theory, in terms of gluon quasiparticles propagating in a background of a Polyakov loop. A potential for the Polyakov loop, inspired by the strong coupling expansion of the QCD action, is introduced; the Polyakov loop is coupled to transverse gluon quasiparticles by means of a gaslike effective potential. This study is useful to identify the effective degrees of freedom propagating in the gluon medium above the critical temperature. A main general finding is that a dominant part of the phase transition dynamics is accounted for by the Polyakov loop dynamics; hence, the thermodynamics can be described without the need for diverging or exponentially increasing quasiparticle masses as $T\ensuremath{\rightarrow}{T}_{c}$, at variance respect to standard quasiparticle models.