Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-05-18
J.Stat.Mech.1011:P11002,2010
Physics
High Energy Physics
High Energy Physics - Theory
41 pages, 2 figures; v2: references added; v3: version published in J. Stat. Mech
Scientific paper
10.1088/1742-5468/2010/11/P11002
Baxter's Q-operator is generally believed to be the most powerful tool for the exact diagonalization of integrable models. Curiously, it has hitherto not yet been properly constructed in the simplest such system, the compact spin-1/2 Heisenberg-Bethe XXX spin chain. Here we attempt to fill this gap and show how two linearly independent operatorial solutions to Baxter's TQ equation may be constructed as commuting transfer matrices if a twist field is present. The latter are obtained by tracing over infinitely many oscillator states living in the auxiliary channel of an associated monodromy matrix. We furthermore compare and differentiate our approach to earlier articles addressing the problem of the construction of the Q-operator for the XXX chain. Finally we speculate on the importance of Q-operators for the physical interpretation of recent proposals for the Y-system of AdS/CFT.
Bazhanov Vladimir V.
Lukowski Tomasz
Meneghelli Carlo
Staudacher Matthias
No associations
LandOfFree
A Shortcut to the Q-Operator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Shortcut to the Q-Operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Shortcut to the Q-Operator will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-58632