Abstract
We present an analysis of two different approximations to the scalar field theory on the fuzzy sphere, a nonperturbative and a perturbative one, which are both multitrace matrix models. We show that the former reproduces a phase diagram with correct features in a qualitative agreement with the previous numerical studies and that the latter gives a phase diagram with features not expected in the phase diagram of the field theory.
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ArXiv ePrint: 1510.07496
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Tekel, J. Matrix model approximations of fuzzy scalar field theories and their phase diagrams. J. High Energ. Phys. 2015, 1–25 (2015). https://doi.org/10.1007/JHEP12(2015)176
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DOI: https://doi.org/10.1007/JHEP12(2015)176