Holographic Non-local Rotating Observables and their Renormalization

Abstract

We analyse non-local rotating observables in holography corresponding to spinning bound states. To renormalize their energies and momenta we suggest and discuss different holographic renormalization schemes motivated by the static non-local observables. Namely the holographic renormalization and the rotating color singlet mass subtraction scheme. In the holographic renormalization we identify the infinite boundary terms and subtract them. In the mass subtraction scheme we evaluate the energy of a spinning trailing string corresponding to the color charged singlet which experiences dragging phenomena and we subtract it from the energy of the bound state to obtain the renormalized finite energy. Then we apply our generic framework to certain strongly coupled thermal theories with broken rotational symmetry. We find numerical solutions corresponding to spinning bound states with a fixed size while varying their angular frequency. By applying numerically the renormalization schemes, we find that there is a critical frequency where the bound state ceases to exist or dissociates. We also note that bound states require lower angular frequencies to dissociate when the theory has less symmetry.

1+28 pages

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Cited by in corpus (5)

• The Splitting of Chiral and Deconfinement Phase Transitions induced by Rotation
• Probing the holographic model of $\mathcal{N}=4$ SYM rotating quark-gluon plasma
• Drag force and heavy quark potential in a rotating background
• String tension and Polyakov loop in a rotating background
• Velocity Laws for Bound States in Asymptotically AdS Geometries