TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.3.111
TI  - Exact effective action for the O(N) vector model in the large N limit
PY  - 2023/09/22
UR  - https://scipost.org/SciPostPhys.15.3.111
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 3
SP  - 111
A1  - Ma, Han
AU  - Lee, Sung-Sik
AB  - We present the Wilsonian effective action as a solution of the exact RG equation for the critical $O(N)$ vector model in the large $N$ limit. Below four dimensions, the exact effective action can be expressed in a closed form as a transcendental function of two leading scaling operators with infinitely many derivatives. From the exact solution that describes the RG flow from a UV theory to the fixed point theory in the IR, we obtain the mapping between UV operators and IR scaling operators. It is shown that IR scaling operators are given by sums of infinitely many UV operators with infinitely many derivatives.
ER  -

@Article{10.21468/SciPostPhys.15.3.111,
	title={{Exact effective action for the O(N) vector model in the large N limit}},
	author={Han Ma and Sung-Sik Lee},
	journal={SciPost Phys.},
	volume={15},
	pages={111},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.3.111},
	url={https://scipost.org/10.21468/SciPostPhys.15.3.111},
}