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Perturbative dynamics of fuzzy spheres at large N | | Takehiro Azuma
; Keiichi Nagao
; Jun Nishimura
; | | Date: |
27 Oct 2004 | | Journal: | JHEP 0506 (2005) 081 | | Subject: | hep-th hep-lat | | Affiliation: | KEK | | Abstract: | We clarify some peculiar aspects of the perturbative expansion around a classical fuzzy-sphere solution in matrix models with a cubic term. While the effective action in the large-N limit is saturated at the one-loop level, we find that the ``one-loop dominance’’ does not hold for generic observables due to one-particle reducible diagrams. However, we may exploit the one-loop dominance for the effective action and obtain various observables to all orders from one-loop calculation by simply shifting the center of expansion to the ``quantum solution’’, which extremizes the effective action. We confirm the validity of this method by comparison with the direct two-loop calculation and with Monte Carlo results in the 3d Yang-Mills-Chern-Simons matrix model. From the all order result we find that the perturbative expansion has a finite radius of convergence. | | Source: | arXiv, hep-th/0410263 | | Services: | Forum | Review | PDF | Favorites | |
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