Boundary terms in the Witten-Sakai-Sugimoto model at finite density
arXiv:2309.16328 · doi:10.1103/PhysRevD.109.066006
Abstract
We consider the Witten-Sakai-Sugimoto model in the approximation of smeared instantons at finite density via a homogeneous Ansatz, which is known to be discontinuous in order to be able to contain a nonvanishing baryon density. The discontinuity at the infrared tip of the bulk spacetime gives rise to subtleties of discarding boundary terms that are normally discarded in the literature. We propose a reason for discarding this boundary term, by scrutinizing the currents and topological properties of the model. Along the way, we find a very effective and simple condition to compute the point of thermodynamic equilibrium.
arXiv commentLaTeX: 28 pages, 4 figures; V2: comments and references added, typos corrected
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