Speaker
Dr
Okuto Morikawa
(RIKEN)
Description
We present the lattice simulation of the renormalization group flow in the $3$-dimensional $O(N)$ linear sigma model. This model possesses a nontrivial infrared fixed point, called Wilson-Fisher fixed point. Arguing that the parameter space of running coupling constants can be spanned by expectation values of operators evolved by the gradient flow, we exemplify a scaling behavior analysis based on the gradient flow in the large $N$ approximation at criticality. Then, we work out the numerical simulation of the theory with finite $N$. Depicting the renormalization group flow along the gradient flow, we confirm the existence of the Wilson-Fisher fixed point non-perturbatively.
Primary author
Dr
Okuto Morikawa
(RIKEN)
Co-authors
Mr
Mizuki Tanaka
(Osaka University)
Masakiyo Kitazawa
(Yukawa Institute for Theoretical Physics)
Hiroshi Suzuki
(Kyushu University)
