期刊
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
卷 31, 期 32, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X16501700
关键词
Conformal field theory; sine-square deformation
资金
- JSPS KAKENHI [25400242, 25610066]
- RIKEN iTHES Project
- Grants-in-Aid for Scientific Research [25610066] Funding Source: KAKEN
Elaborating on our previous presentation, where the term dipolar quantization was introduced, we argue here that adopting L-0 - (L-1 + L-1)/2 L-0 - (L-1 + L-1)/2 as the Hamiltonian instead of L-0 + L-0 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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据