- 1、本文档共12页,可阅读全部内容。
- 2、有哪些信誉好的足球投注网站(book118)网站文档一经付费(服务费),不意味着购买了该文档的版权,仅供个人/单位学习、研究之用,不得用于商业用途,未经授权,严禁复制、发行、汇编、翻译或者网络传播等,侵权必究。
- 3、本站所有内容均由合作方或网友上传,本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺!文档内容仅供研究参考,付费前请自行鉴别。如您付费,意味着您自己接受本站规则且自行承担风险,本站不退款、不进行额外附加服务;查看《如何避免下载的几个坑》。如果您已付费下载过本站文档,您可以点击 这里二次下载。
- 4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等,请点击“版权申诉”(推荐),也可以打举报电话:400-050-0827(电话支持时间:9:00-18:30)。
查看更多
Operator Algebra in Chern-Simons Theory on a Torus
a
r
X
i
v
:
h
e
p
-
t
h
/
9
2
1
0
1
0
3
v
1
1
9
O
c
t
1
9
9
2
Theoretical Physics Institute
University of Minnesota
September 1992 TPI-MINN-92/41-T
UMN-TH-1105/92
Operator Algebra
in Chern-Simons Theory on a Torus
Choon-Lin Ho
Theoretical Physics Institute, University of Minnesota, Minneapolis, MN 55455, U.S.A., and
Department of Physics, Tamkang University, Tamsui, Taiwan 25137, R.O.C.?
and
Yutaka Hosotani
School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, U.S.A.
Abstract
We consider Chern-Simons gauge theory on a torus with both nonrela-
tivistic and relativistic matter. It is shown that the Hamiltonian and two total
momenta commute among themselves only in the physical Hilbert space. We
also discuss relations among degenerate physical states, degenerate vacua, and
the existence of multicomponent Schro?dinger wavefunctions.
? Permanent address
Chern-Simons field theory with matter coupling have attracted intense interest in
recent years, owing to its relevance to condensed matter systems such as quantum Hall
systems, and possibly high Tc superconductors [1]. Setting aside such physical applica-
bility, Chern-Simons theory is in itself very interesting in view of its rich and beautiful
mathematical structures. As such, various aspects of this theory deserve a careful study.
Much of recent efforts have been directed towards the issue of consistent quantisation of
the theory [2,3].
While the majority of works in the field is concerned with planar systems, Chern-
Simons field theory on compact Riemann surfaces has also captured considerable interests
[4–14]. It has even richer structures, which, being topological in nature, are absent in planar
system. Among them are the multicomponent structure of many-body wavefunctions
[9,11,14] and the degeneracy of physical states [5]. Moreover, the analysis on a torus is
mathematically rigorous, being free from infrared divergences and ambiguity in boundary
conditions at space infinity on a pla
您可能关注的文档
- Mutagenesis of the N-linked glycosylation sites of the yellow fever virus NS1 protein.pdf
- Mutual Absolute Continuity of Harmonic and Surface Measures for Hormander Type Operators.pdf
- MVS0608_02-Datasheet.pdf
- MWC开发_GPS篇(一).pdf
- MX25L1605DM2I-12G技术资料 MX25L1605DM2I-12G功能参数 MX25L1605DM2I-12G规格书.pdf
- My favorite movie star.ppt
- My dear classmates.pptx
- My favorite star.ppt
- MZU2焊装专用气缸传感器选型手册(英文版).pdf
- N133HSE-D31 ver 2.0 for Common Model.pdf
文档评论(0)