Exponentiation of multiparticle amplitudes in scalar theories. II. Universality of the exponent.
Exponentiation of multiparticle amplitudes in scalar theories. II. Universality of the exponent.
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标量理论中多粒子振幅的幂。
DOI：
10.1103/physrevd.52.3679
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
Troitsky
中科院分区：
文献类型：
--
作者：
Libanov;Son;Troitsky
最近的研究表明，接近 {ital n} 粒子阈值的一个虚拟玻色子产生 {ital n} 实标量粒子的幅度在 {ital n}{similar_to}1/{lambda} 处表现出指数行为。我们将此结果扩展到两个虚拟玻色子在阈值下产生多粒子的过程。我们发现树级振幅和前导环修正具有相同的指数行为，对于各种运动学，1{r_arrow}{ital n} 和 2{r_arrow}{ital n} 过程具有相同的指数。这一结果有力地表明，多粒子振幅的指数与初始状态无关，并且可能存在研究多粒子产生的半经典方法。
It has been shown recently that the amplitude of the creation of {ital n} real scalar particles by one virtual boson near the {ital n}-particle threshold exhibits exponential behavior at {ital n}{similar_to}1/{lambda}. We extend this result to the processes of multiparticle production at threshold by two virtual bosons. We find that both the tree-level amplitude and leading-{ital n}-loop corrections have the same exponential behavior, with the common exponent for 1{r_arrow}{ital n} and 2{r_arrow}{ital n} processes, for various kinematics. This result strongly indicates that the exponent for multiparticle amplitudes is independent of the initial state and that there may exist a semiclassical approach to the study of multiparticle production.