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arXiv 0712.3526hep-th
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费米子和玻色子任意自旋场的立方相互作用顶点

Cubic interaction vertices for fermionic and bosonic arbitrary spin fields

R. R. Metsaev

摘要:

利用相对论场动力学的光锥规范方法,研究了任意自旋的费米子场和玻色子场在大于或等于四维的平坦空间中的传播。得到了全对称和混合对称有质量场和无质量场宇称不变立方相互作用顶点的生成函数。对于完全对称场的情况,我们推导出了对自旋允许值和导数数量的限制。这些限制提供了一个完整的分类宇称不变的立方相互作用顶点的完全对称的费米子和玻色子领域。作为应用光锥形式的一个例子,我们得到了大质量任意自旋费米子场的杨-米尔斯相互作用和引力相互作用的简单表达式。在某些特殊情况下,利用我们的光锥立方顶点,讨论了相应的显洛伦兹不变量和壳层规范不变量立方顶点。

英文摘要:

Using the light-cone gauge approach to relativistic field dynamics, we study arbitrary spin fermionic and bosonic fields propagating in flat space of dimension greater than or equal to four. Generating functions of parity invariant cubic interaction vertices for totally symmetric and mixed-symmetry massive and massless fields are obtained. For the case of totally symmetric fields, we derive restrictions on the allowed values of spins and the number of derivatives. These restrictions provide a complete classification of parity invariant cubic interaction vertices for totally symmetric fermionic and bosonic fields. As an example of application of the light-cone formalism, we obtain simple expressions for the Yang-Mills and gravitational interactions of massive arbitrary spin fermionic fields. For some particular cases, using our light-cone cubic vertices, we discuss the corresponding manifestly Lorentz invariant and on-shell gauge invariant cubic vertices.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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