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- W2035366847 abstract "We use the recently developed tools for an exact bosonization of a finite number $N$ of nonrelativistic fermions to discuss the classic Tomonaga problem. In the case of noninteracting fermions, the bosonized Hamiltonian naturally splits into an $mathrm{O}(N)$ piece and an O(1) piece. We show that in the large-$N$ and low-energy limit, the $mathrm{O}(N)$ piece in the Hamiltonian describes a massless relativistic boson, while the O(1) piece gives rise to cubic self-interactions of the boson. At finite $N$ and high energies, the low-energy effective description breaks down and the exact bosonized Hamiltonian must be used. We also comment on the connection between the Tomonaga problem and pure Yang-Mills theory on a cylinder. In the dual context of baby universes and multiple black holes in string theory, we point out that the $mathrm{O}(N)$ piece in our bosonized Hamiltonian provides a simple understanding of the origin of two different kinds of nonperturbative $mathrm{O}({e}^{ensuremath{-}N})$ corrections to the black hole partition function." @default.
- W2035366847 created "2016-06-24" @default.
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- W2035366847 date "2006-11-06" @default.
- W2035366847 modified "2023-09-28" @default.
- W2035366847 title "Bosonization of nonrelativistic fermions on a circle: Tomonaga’s problem revisited" @default.
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- W2035366847 doi "https://doi.org/10.1103/physrevd.74.105006" @default.
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