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arxiv: hep-ph/9807505 · v1 · submitted 1998-07-27 · ✦ hep-ph

Regularizing the quark-level σ model

classification ✦ hep-ph
keywords modelsigmadifferencedivergentencounteredfactfiniteindependent
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We show that the finite difference, $-i\pi^2 m^2$, between quadratic and logarithmic divergent integrals $\int d^4p[m^2(p^2-m^2)^{-2}-(p^2-m^2)^{-1}]$, as encountered in the linear $\sigma$ model, is in fact regularization independent.

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