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arXiv 1005.4533nucl-thhep-ph
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Walecka模型中的辐射诱导非线性

Radiatively Induced Non Linearity in the Walecka Model

Rafael Cavagnoli, Marcus Benghi Pinto

摘要:

我们评估的有效潜力,为传统的线性Walecka非微扰多达一个循环。这个数量,然后重整化的处方,允许有限的真空贡献的三个以及四个1PI格林函数生存。这些条款,这是在标准的相对论性哈特里近似缺席,有一个对数的能量尺度的依赖性,可以调整,以模仿的影响phi3和phi4类型的条款存在于非线性Walecka模型改善量,如压缩模量和有效的核子质量,在饱和状态下,通过考虑能量尺度非常接近的核子质量在消失的密度。

英文摘要:

We evaluate the effective potential for the conventional linear Walecka non perturbatively up to one loop. This quantity is then renormalized with a prescription which allows finite vacuum contributions to the three as well as four 1PI Green's functions to survive. These terms, which are absent in the standard relativistic Hartree approximation, have a logarithmic energy scale dependence that can be tuned so as to mimic the effects of phi3 and phi4 type of terms present in the non linear Walecka model improving quantities such as the compressibility modulus and the effective nucleon mass, at saturation, by considering energy scales which are very close to the nucleon mass at vanishing density.

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