Activities
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Seminars
| Seminar on Theoretical and Computational Physics:
| | Title | Finite N effect in the 1/D expansion for the one-dimensional large N gauge theory
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| Speaker | Dr. Shingo Takeuchi
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| Affiliation | Vietnam National Space Center, VAST, 18 Hoang Quoc Viet, Hanoi, Vietnam
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| Date | Tuesday, 09-01-2018
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| Time | 10:00 AM
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| Location | Meeting room, 8th floor, 2H Building, 18 Hoang Quoc Viet, Hanoi
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| Abstract | We consider finite N BFSS matrix model with D scalar fields and a gauge field given by N x N Hermitian matrix on a one-dimensional circled space.
BFSS matrix model has originally come up in the literature of the M-theory, but it is interesting to investigate the correspondence between the confinement/deconfinement transition in the matrix model and Gregory-Laflamme instability in black D0-brane geometry.
As the black string/black hole transition shows similarity with the Rayleigh-Plateau instability, it is also interesting to investigate it.
The interesting research objects are the regions where the perturbative analysis and numerical analysis with lattice cannot reach. The 1/D expansion in the bosonic BFSS has been performed in [1], which is non-perturbative expansion.
This is because it is just that D is large but there is no expansion point.
Actually, we can analyze the transition order using the 1/D expansion which numerical analysis cannot work out.
In the usual analysis of the 1/D expansion, the Ginzburg-Landau type effective action with Wilson line as its dynamical variable obtained from the effective action up to one-loop order with regard to the scalar fields are considered.
At this time, finite D corrections are be considered, but large-N limit is taken always.
This is because finite N correction arises from the non-planer diagrams, which make analysis quite complicated.
However, finite N effects are still interesting in terms of the string length and the quantum gravity effects.
As such, I in this talk introduce my study [2] which focuses on some term remaining in the finite N in the one-loop effective action, and analyze confinement/deconfinemnt transition and the third-order phase transition with the finite N effect at large D.
[1] G.Mandal, M.Mahato and T.Morita, "Phases of one dimensional large N gauge theory in a 1/D expansion,' JHEP {f 1002}, 034 (2010), [arXiv:0910.4526 [hep-th]].
[2] S.Takeuchi, "Finite N effect in the 1/D expansion for the one-dimensional large N gauge theory', arXiv:1712.xxxxx (To appear in arXiv soon).
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| Host person | Hoàng Ngọc Long
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