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首页> 外文期刊>Physica, B. Condensed Matter >Magnon anomalous interactions from SU(2) gauge symmetry: Are magnons 'charged' under spin?
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Magnon anomalous interactions from SU(2) gauge symmetry: Are magnons 'charged' under spin?

机译：SU（2）规范对称性引起的磁振子异常相互作用：磁振子在自旋下是否“带电”？

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摘要

The Pauli-Schrodinger non-relativistic theory of spin-1/2 charged fermions requires invariance under the U(1) x SU(2) gauge group. The U(1) symmetry responds for the usual coupling of a charged particle to the electromagnetic gauge potentials A(mu), while the spin interactions with the electromagnetic fields are obtained by changing the status of the global SU(2) rotational invariance of the Pauli-Schrodinger Lagrangian density to a local SU(2) gauge symmetry, for which the electric and magnetic fields E and B play the role of gauge potentials. Assuming that local gauge invariance under rotations can be applied to an arbitrary spin-S quantum field we extend the SU(2) gauge symmetry to the magnon field theory of Heisenberg ferromagnets. It is shown that the magnon field couples to the corresponding gauge fields, E and B, yielding 'anomalous' interactions of magnons with the electric component of the electromagnetic field, as in the case of charged excitations.
机译：Pauli-Schrodinger非相对论的自旋1/2带电费米子理论要求在U（1）x SU（2）规范组下具有不变性。 U（1）对称性响应于带电粒子与电磁标称电势A（mu）的通常耦合，而与电磁场的自旋相互作用是通过改变全局SU（2）旋转不变性的状态而获得的。 Pauli-Schrodinger拉格朗日密度为局部SU（2）规范对称性，为此电场和磁场E和B发挥规范势的作用。假定旋转下的局部规范不变性可应用于任意自旋S量子场，我们将SU（2）规范对称性扩展到海森堡铁磁体的磁振场理论。结果表明，在带电激发的情况下，磁振子场耦合到相应的规范场E和B，产生了磁振子与电磁场的电子成分的“异常”相互作用。

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