The confining transition in the bosonic BMN matrix model

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書誌事項

公開日
2020-06-29
資源種別
journal article
権利情報
  • https://creativecommons.org/licenses/by/4.0/
  • https://creativecommons.org/licenses/by/4.0/
DOI
  • 10.1007/jhep06(2020)174
  • 10.48550/arxiv.2001.03749
公開者
Springer Science and Business Media LLC

説明

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title> <jats:p>We study the confining/deconfining phase transition in the mass deformed Yang-Mills matrix model which is obtained by the dimensional reduction of the bosonic sector of the four-dimensional maximally supersymmetric Yang-Mills theory compactified on the three sphere, i.e. the bosonic BMN model. The 1<jats:italic>/D</jats:italic> (with <jats:italic>D</jats:italic> the number of matrices) expansion suggests that the model may have two closely separated transitions. However, using a second order lattice formulation of the model we find that for the small value of the mass parameter, <jats:italic>μ</jats:italic> = 2, those two apparent critical temperatures merge at large <jats:italic>N</jats:italic> , leaving only a single weakly first-order phase transition, in agreement with recent numerical results for <jats:italic>μ</jats:italic> = 0 (the bosonic BFSS model).</jats:p>

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