Nonlinear realizations of symmetries and unphysical Goldstone bosons
Nonlinear realizations of symmetries and unphysical Goldstone bosons
复制标题
对称性和非物理戈德斯通玻色子的非线性实现
DOI：
--
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
I. N. McArthur
中科院分区：
文献类型：
--
作者：
I. N. McArthur
p-膜嵌入到高维时空中不仅打破了横截于世界体积的平移对称性，也打破了洛伦兹对称性。有一些关于p-膜作用的公式，把戈德斯通玻色子和洛仑兹对称性破缺的生成元联系起来。这些戈德斯通玻色子是非物理的，因为它们可以通过运动方程或通过施加逆希格斯约束而被淘汰。在本文中，我们研究的陪集参数化之间的相互关系，必要的实现逆希格斯约束，等效的逆希格斯约束的运动方程，并能够找到版本的行动，没有明确的依赖于非物理的戈德斯通玻色子。这证明了非物理的戈德斯通玻色子是与扩大的各向同性群相关的规范自由度。除了p-膜行动，一些其他情况下，包括共形不变的双光子行动，表现出相同的结构。
The embedding of a p-brane into higher dimensional spacetime breaks not only translational symmetries transverse to the worldvolume, but also Lorentz symmetries. There exist formulations for p-brane actions which associate Goldstone bosons with the generators of the broken Lorentz symmetries. These Goldstone bosons are unphysical, in that they can be eliminated in favour of other Goldstone bosons either via their equations of motion or via the imposition of an inverse Higgs constraint. In this paper, we examine the inter-relationship between the coset parameterization necessary to implement the inverse Higgs constraint, the equivalence of the inverse Higgs constraint to equations of motion, and the ability to find versions of the action with no explicit dependence on the unphysical Goldstone bosons. This is evidence that the unphysical Goldstone bosons are gauge degrees of freedom associated with an enlarged isotropy group. In addition to p-brane actions, a number of other cases, including conformally invariant dilaton actions, are shown to exhibit the same structure.