一种正规化方案及规范等级问题理解（英文）

A Trick of Loop Integral and a Look on the Hierarchy Problem

受到玻色爱因斯坦凝聚过程的启发,找到了一种正规化方案.圈图中虚粒子能量看作是分立的,对能量求和并采用黎曼ζ函数做正规化,由此可以得到圈图函数的结果,而且所有的积分都是有限的.该方案可以得到和维数正规化几乎一样的结果,用量子电动力学作为例子展示了超出维数正规化方案的预言.由于没有发散项,规范等级问题也有了另外一种理解.

A regularization scheme which is motivated by the Bose-Einstein condensation is proposed.The energy of the virtual particle is considered as discrete.Summing them and regulating the summation by the Riemannζfunction can give the result of loop integral.All the divergences vanish,almost the same results can be got as the dimensional regularization.The prediction beyond dimensional regularization is also shown in the quantum electro-dynamics(QED).The gauge hierarchy problem of the radiative correction of scalar mass completely vanish.