期刊
ANNALES HENRI POINCARE
卷 18, 期 6, 页码 2123-2198出版社
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00023-016-0547-9
关键词
-
资金
- Miller Institute at UC Berkeley
- [NRF-2015R1C1A2A01054919]
We establish a general small data global existence and decay theorem for Chern-Simons theories with a general gauge group, coupled with a massive relativistic field of spin 0 or 1/2. Our result applies to a wide range of relativistic Chern-Simons theories considered in the literature, including the abelian/non-abelian self-dual Chern-Simons-Higgs equation and the Chern-Simons-Dirac equation. A key idea is to develop and employ a gauge invariant vector field method for relativistic Chern-Simons theories, which allows us to avoid the long-range effect of charge.
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