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arXiv 0709.4338hep-ph
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量子场论中标量凝聚的衰变

Decay of Scalar Condensation in Quantum Field Theory

Shigeki Matsumoto, Takeo Moroi

摘要:

我们考虑标量场凝聚的衰减过程中建立良好的量子场论的框架。我们假设标量场凝聚所对应的量子态是所谓的相干态,并讨论了这种处理的有效性。利用散射矩阵的么正关系,系统地计算了相干态的衰变率。我们应用我们的程序推导出两种情况下的衰变率的显式公式:(i)我们研究的情况下,标量凝聚衰变成一对标量粒子,并表明我们的形式主义再现从参数共振分析得到的结果,(ii)我们还计算衰变率时,相干态通过异常衰变。

英文摘要:

We consider decay processes of scalar-field condensation in the framework of well-established quantum field theory. We postulate that the quantum state corresponding to the scalar-field condensation is so-called coherent state with discussing the validity of such a treatment. We show that, by using the unitarity relation of the scattering matrix, decay rate of the coherent state is systematically calculated. We apply our procedure to derive explicit formulae of decay rates for two cases: (i) we study the case where the scalar condensation decays into a pair of scalar particles and show that our formalism reproduces the results obtained from the parametric-resonance analysis, and (ii) we also calculate the decay rate when the coherent state decays via anomaly.

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