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arXiv 1302.3225hep-thhep-ph
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连续自旋粒子的规范场理论

A Gauge Field Theory of Continuous-Spin Particles

Philip Schuster, Natalia Toro

摘要:

我们提出并证明了一个局部的、协变的规范场作用,它以一种简单的方式统一了所有自由螺旋度和连续自旋自由度的描述。这是连续自旋粒子的第一种场论作用量;它与量子理论是一致的,并且可以推广到任何维数。场存在于内部四矢量“自旋空间”的零锥上;在D维中,线性化的规范不变性将它们的物理内容简化为欧几里得(D-2)平面上的单个函数,小群E(D-2)自然地作用于该平面上。作用量的投影版本进一步将物理内容减少到S^{D-3},使得能够对具有任何自旋结构的粒子进行新的局部描述,特别是对于D=4的所有整数螺旋度粒子的塔。规范不变的相互作用与背景电流被添加在一个简单的方式。

英文摘要:

We propose and quantize a local, covariant gauge-field action that unifies the description of all free helicity and continuous-spin degrees of freedom in a simple manner. This is the first field-theory action of any kind for continuous spin particles; it is consistent as a quantum theory and generalizes to any number of dimensions. The fields live on the null cone of an internal four-vector "spin-space"; in D dimensions a linearized gauge invariance reduces their physical content to a single function on a Euclidean (D-2)-plane, on which the little group E(D-2) acts naturally. A projective version of the action further reduces the physical content to S^{D-3}, enabling a new local description of particles with any spin structure, and in particular a tower of all integer-helicity particles for D=4. Gauge-invariant interactions with a background current are added in a straightforward manner.

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