2017/11/30 by Orestis Loukas · 8 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Dimension (graph theory) #Fixed point #Global symmetry #Ground state #Matrix (chemical analysis) #Operator (biology) #Quantum many-body systems #Renormalization group #Scalar (mathematics) #Symmetry (geometry) #Symmetry group #hep-th
paper · pdf · doi:10.1007/jhep06(2018)164
published in Journal of High Energy Physics 2018(6) (Springer Nature) · 1+36 pages, 2 figures, minor clarifications added, version to be published in JHEP
openalex created_date 2017/12/04 · openalex publication_date 2018/06/01 · arxiv created 2018/06/22 · arxiv updated 2018/08/01 · openalex updated_date 2026/08/05
A bstract We investigate matrix models in three dimensions where the global SU( N ) symmetry acts via the adjoint map. Analyzing their ground state which is homogeneous in space and can carry either a unique or multiple fixed charges, we show the existence of at least two distinct fixed points of the renormalization group (rg) flow. In particular, the one type of those fixed points manifests itself via tractable deviations in the large-charge expansion from the known predictions in the literature. We demonstrate most of the novel features using mainly the example of the SU(4) matrix theory to compute the anomalous dimension of the lowest scalar operator with large global charge(s).