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One-loop QCD spin chain and its spectrum

Niklas Beisert ; Gabriele Ferretti (Institutionen för teoretisk fysik och mekanik, Matematisk fysik) ; Rainer Heise ; Kostantin Zarembo
Nuclear Physics B (0550-3213). Vol. 717 (2005), 1-2, p. 137-189.
[Artikel, refereegranskad vetenskaplig]

We study the renormalization of gauge invariant operators in large Nc QCD. We compute the complete matrix of anomalous dimensions to leading order in the 't Hooft coupling and study its eigenvalues. Thinking of the mixing matrix as the Hamiltonian of a generalized spin chain we find a large integrable sector consisting of purely gluonic operators constructed with self-dual field strengths and an arbitrary number of derivatives. This sector contains the true ground state of the spin chain and all the gapless excitations above it. The ground state is essentially the anti-ferromagnetic ground state of a XXX1 spin chain and the excitations carry either a chiral spin quantum number with relativistic dispersion relation or an anti-chiral one with non-relativistic dispersion relation.

Nyckelord: Gauge theory, Anomalous dimension, Spin chain, Renormalization, Yang Mills

Denna post skapades 2006-08-25. Senast ändrad 2013-05-22.
CPL Pubid: 5194


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Institutionen för teoretisk fysik och mekanik, Matematisk fysik (1900-2005)



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