@article{oai:tsukuba.repo.nii.ac.jp:00040061,
 author = {石橋, 延幸 and Ishibashi, Nobuyuki and Tada, Tsukasa},
 issue = {32},
 journal = {International journal of modern physics. A},
 month = {Nov},
 note = {Elaborating on our previous presentation, where the term dipolar quantization was introduced, we argue here that adopting L0−(L1+L−1)/2+L̄0−(L̄1+L̄−1)/2 as the Hamiltonian instead of L0+L̄0 yields an infinite circumference limit in two-dimensional conformal field theory. 
The new Hamiltonian leads to dipolar quantization instead of radial quantization. As a result, the new theory exhibits a continuous and strongly degenerated spectrum in addition to the Virasoro algebra with a continuous index. 
Its Hilbert space exhibits a different inner product than that obtained in the original theory. 
The idiosyncrasy of this particular Hamiltonian is its relation to the so-called sine-square deformation, which is found in the study of a certain class of quantum statistical systems. 
The appearance of the infinite circumference explains why the vacuum states of sine-square deformed systems are coincident with those of the respective closed-boundary systems.},
 title = {Dipolar quantization and the infinite circumference limit of two-dimensional conformal field theories},
 volume = {31},
 year = {2016}
}