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arXiv 1908.09388hep-thmath-phmath.MP
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代数量子场论中的散射矩阵与包容散射矩阵

Scattering matrix and inclusive scattering matrix in algebraic quantum field theory

Albert Schwarz

摘要:

我们在代数量子场论的框架下研究了粒子和准粒子的散射。主要的创新之处是包含散射矩阵的建设有关的包含截面。包含的散射矩阵可以表示为广义格林函数的公式类似于传统的散射矩阵的LSZ公式。在量子场论中,如果不存在幺正散射矩阵(如果理论没有粒子解释),则必须考虑包含散射矩阵。如果我们想考虑准粒子的碰撞,它总是必要的。

英文摘要:

We study the scattering of particles and quasiparticles in the framework of algebraic quantum field theory. The main novelty is the construction of inclusive scattering matrix related to inclusive cross-sections. The inclusive scattering matrix can be expressed in terms of generalized Green functions by a formula similar to the LSZ formula for the conventional scattering matrix. The consideration of inclusive scattering matrix is necessary in quantum field theory if a unitary scattering matrix does not exist (if the theory does not have particle interpretation). It is always necessary if we want to consider collisions of quasiparticles.

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