Scattering states and bound states in λ℘(φ)2
Scattering states and bound states in λ℘(φ)2
复制标题
λ℘(φ)2 中的散射态和束缚态
DOI：
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发表时间：
1976
期刊：
影响因子：
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通讯作者：
F. Zirilli
中科院分区：
文献类型：
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作者：
T. Spencer;F. Zirilli
通过对偶λ℘(φ(2)模型的Bethe-Salpeter方程的分析，我们证明了对于弱耦合，质量谱是离散的，在2m以下具有有限多重数。此外，在能量小于4(m−ɛ)的偶数态上，我们证明了该矩阵是酉阵。这里是物理质量，ɛ=ɛ(λ)→为λ→。我们的结果基本上只依赖于一个关于Bethe-Salpeter核的解析性的简单假设，该假设已经被验证为弱耦合。对于相互作用λφ4，(λ/Mo2≪1)，我们证明了不存在能量小于4(m−ɛ)的偶束束态。
By analyzing the Bethe-Salpeter equation for even λ℘(φ)2 models we show that for weak coupling the mass spectrum is discrete and of finite multiplicity below 2m. Moreover on even states of energy less than 4(m−ɛ) we show that theS matrix is unitary. Herem is the physical mass and ɛ=ɛ(λ)→0 as λ→0. Our results rely essentially only on a simple assumption about the analyticity of the Bethe-Salpeter kernel which has been verified for weak coupling. For the interaction λφ4, (λ/mo2≪1) we show that there are no even bound states of energy less than 4(m−ɛ).