论文标题

关于lovelace-shapiro型号的n-pion扩展

On the N-pion extension of the Lovelace-Shapiro model

论文作者

Bianchi, Massimo, Consoli, Dario, Di Vecchia, Paolo

论文摘要

我们重新考虑了Neveu-Schwarz(NS)模型的N点振幅的修改,在该模型中,他的速度通过将其质量转移到零并保持幅度内陆的超级标志性不变性,从而变成了旋转。对于四个粒子的散射,它将减少到具有Adler零的Lovelace和Shapiro编写的幅度。我们确认,N-Pion振幅还具有Adler零,并表明它将其降低到$α'\ rightarrow 0 $ for $f_π$固定的非线性$σ$ -MODEL。四分和六点的口味序列振幅满足树级单位性,因为它们可以通过在六个额外的维度中适当地选择外部介体的成分组成部分来从NS模型的通讯幅度中得出。负标准状态(幽灵)被证明出现在更高点的幅度中。我们还讨论了涉及不同外部介子的几个振幅。

We reconsider a modification of the N-point amplitude of the Neveu-Schwarz (NS) model in which the tachyon becomes a pion by shifting its mass to zero and keeping the super-projective invariance of the integrand of the amplitude. For the scattering of four particles it reduces to the amplitude written by Lovelace and Shapiro that has Adler zeroes. We confirm that also the N-pion amplitude has Adler zeroes and show that it reduces to that of the non-linear $σ$-model for $α' \rightarrow 0$ keeping $F_π$ fixed. The four- and six-point flavour-ordered amplitudes satisfy tree-level unitarity since they can be derived from the correspondent amplitudes of the NS model in ten dimensions by suitably choosing the components of the momenta of the external mesons in the six extra dimensions. Negative norm states (ghosts) are shown to appear instead in higher-point amplitudes. We also discuss several amplitudes involving different external mesons.

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