GAUGE NONINVARIANCE AND PARITY NONCONSERVATION OF 3-DIMENSIONAL FERMIONS

GAUGE NONINVARIANCE AND PARITY NONCONSERVATION OF 3-DIMENSIONAL FERMIONS
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DOI:
10.1103/physrevlett.52.18
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发表时间:
1984-01-01
影响因子:
8.6
通讯作者:
REDLICH, AN
REDLICH, AN
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
REDLICH, AN

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在三维SU(N)规范理论中,奇数个费米子粒子引起的有效规范场作用量变化为±π| n|在缠绕数为n的同伦非平凡规范变换下。规范不变性可以通过使用保利-维拉尔正则化来恢复,然而,它在有效作用量中以宇称非守恒的拓扑项的形式引入宇称非守恒。
The effective gauge field action due to an odd number of fermion species in three-dimensional SU (N) gauge theories is shown to change by±π| n| under a homotopically nontrivial gauge transformation with winding number n. Gauge invariance can be restored by use of Pauli-Villars regularization, which, however, introduces parity nonconservation in the form of a parity-nonconserving, topological term in the effective action.