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arXiv 1406.4430math-phhep-thmath.MP
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具有紧维的五维Stüeckelberg理论的Dirac和Faddeev-Jackiw量子化

Dirac and Faddeev-Jackiw quantization of a five-dimensional Stüeckelberg theory with a compact dimension

Alberto Escalante, Moisés Zárate

摘要:

对具有紧致维数的五维St{ü}eckelberg理论进行了详细的哈密顿分析.首先,我们发展了一个纯Dirac的理论分析,我们表明,在执行紧化后,该理论是减少到四维St{ü}eckelberg理论加上一个塔的卡鲁扎-克莱因模式。我们开发了一个完整的分析的约束,我们固定的规范,我们表明,有目前的伪戈德斯通玻色子。然后我们通过构造狄拉克括号来证明这个理论。作为补充,我们对所研究的理论进行了Faddeev-Jackiw量子化,并计算了广义Faddeev-Jackiw括号,证明了Faddeev-Jackiw括号和Dirac括号是相同的.最后,本文提出了一些看法和展望.

英文摘要:

A detailed Hamiltonian analysis for a five-dimensional St{ü}eckelberg theory with a compact dimension is performed. First, we develop a pure Dirac's analysis of the theory, we show that after performing the compactification, the theory is reduced to four-dimensional St{ü}eckelberg theory plus a tower of Kaluza-Klein modes. We develop a complete analysis of the constraints, we fix the gauge and we show that there are present pseudo-Goldstone bosons. Then we quantize the theory by constructing the Dirac brackets. As complementary work, we perform the Faddeev-Jackiw quantization for the theory under study, and we calculate the generalized Faddeev-Jackiw brackets, we show that both the Faddeev-Jackiw and Dirac's brackets are the same. Finally we discuss some remarks and prospects.

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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