On the Wilsonian renormalization group equation for nuclear current operators

Details On the Wilsonian renormalization group equation for nuclear current operators On the Wilsonian renormalization group equation for nuclear current operators

2007-06-28

arxiv.org/abs/0706.4277v1

Phys.Rev.C76:064003,2007

Physics

Nuclear Physics

Nuclear Theory

12 pages

Scientific paper

10.1103/PhysRevC.76.064003

We present the solution to the recently derived Wilsonian renormalization group (RG) equation for nuclear current operators. In order to eliminate the present ambiguity in the RG equation itself, we introduce a new condition specifying the cutoff independence of the five point Green function corresponding to the two-body propagator with current operator insertion. The resulting effective current operator is then shown to obey a modified Ward-Takahashi identity which differs from the usual one, but that nevertheless leads to current conservation.

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