DOAJ Open Access 2024

Canonical quantization of lattice Chern-Simons theory

Theodore Jacobson Tin Sulejmanpasic

Abstrak

Abstract We discuss the canonical quantization of U(1) k Chern-Simons theory on a spatial lattice. In addition to the usual local Gauss law constraints, the physical Hilbert space is defined by 1-form gauge constraints implementing the compactness of the U(1) gauge group, and (depending on the details of the spatial lattice) non-local constraints which project out unframed Wilson loops. Though the ingredients of the lattice model are bosonic, the physical Hilbert space is finite-dimensional, with exactly k ground states on a spatial torus. We quantize both the bosonic (even level) and fermionic (odd level) theories, describing in detail how the latter depends on a choice of spin structure.

Topik & Kata Kunci

Nuclear and particle physics. Atomic energy. Radioactivity

Penulis (2)

Theodore Jacobson

Tin Sulejmanpasic

Format Sitasi

APA MLA BibTeX

Jacobson, T., Sulejmanpasic, T. (2024). Canonical quantization of lattice Chern-Simons theory. https://doi.org/10.1007/JHEP11(2024)087

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.1007/JHEP11(2024)087
Akses: Open Access ✓