Boundary terms in the Witten-Sakai-Sugimoto model at finite density

Fuente: arXiv
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Autores principales: Bartolini, Lorenzo, Gudnason, Sven Bjarke
Formato: Preprint
Publicado: 2023
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author Bartolini, Lorenzo
Gudnason, Sven Bjarke
author_facet Bartolini, Lorenzo
Gudnason, Sven Bjarke
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2309_16328
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Boundary terms in the Witten-Sakai-Sugimoto model at finite density
Bartolini, Lorenzo
Gudnason, Sven Bjarke
High Energy Physics - Theory
High Energy Physics - Phenomenology
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.
title Boundary terms in the Witten-Sakai-Sugimoto model at finite density
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2309.16328