Non-abelian bosonization in two and three spatial dimensions and applications

被引:7
|
作者
Huang, Yen-Ta [1 ,2 ]
Lee, Dung-Hai [1 ,2 ]
机构
[1] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
[2] Lawrence Berkeley Natl Labs, Mat Sci Div, Berkeley, CA 94720 USA
关键词
GAUGE NONINVARIANCE; STABLE-HOMOTOPY; VALENCE-BOND; FIELD-THEORY; SPIN; SUPERCONDUCTIVITY; TRANSITIONS; INSULATORS; ANOMALIES; CASCADE;
D O I
10.1016/j.nuclphysb.2021.115565
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
In this paper, we generalize Witten's non-abelian bosonization in (1 + 1)-D to two and three spatial dimensions. Our theory applies to fermions with relativistic dispersion. The bosonized theories are nonlinear sigma models with level-1 Wess-Zumino-Witten terms. We apply the bosonization results to the SU (2) gauge theory of the pi-flux phase, critical spin liquids in 1,2,3 spatial dimensions, and twisted bilayer graphene. Published by Elsevier B.V.
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页数:113
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