11th Yukawa-Kimura Prize Winner

Yukawa-Kimura prize of 2017 is sent to Hiroshi Suzuki of Kyushu University.

Hiroshi Suzuki (Kyushu University/Professor)

"Study of gradient flow and energy momentum tensor in lattice gauge theory"

Citation

Lattice gauge theory, gauge theories on a spacetime that is discretized into a lattice, has been the most powerful method to analyze the dynamics of the strong interaction. In recent years, a method called "Yang-Mills gradient flow" has attracted much attention. In this method, the field operators flow as a "virtual time" goes, and its "time" evolution is governed by a kind of diffusion equation whose source term involves a gradient of the classical action. M. Luscher and P. Weisz have shown that any correlation function of such flowing operators remain finite at all orders of the perturbation theory, which means that the operators generated by this method are physical quantities, being independent of methods of the regularization and the renormalization. Since this method allows one to calculate physical quantities which have well-defined continuum limits in lattice gauge theory, the method is expected to be applicable to complicated problems such as electroweak processes between hadrons, the analysis of the static and the dynamical properties of quark-gluon systems at finite temperature, and so on. A connection to the Wilsonian renormalization group has been also discussed.

Dr. Suzuki has established a method for applying the Yang-Mills gradient flow to the formulation of the physical quantities defined by the energy-momentum tensor. That is, he has calculated the asymptotic expansion coefficients which relate the original renormalized energy momentum tensor operators to the short-flowed operators. As a result, he has derived a universal formula of the renormalized operator for the energy-momentum tensor [1]. Furthermore, in his work with Hiroki Makino, he has developed the formulation to the systems which include fermionic fields [2].

Besides this work, Dr. Suzuki has made many brilliant achievements over a wide range of themes in theoretical physics, playing a leading role in the study of quantum filed theory as one of the representative theoretical physicist in Japan. He is very appropriate for the researcher who deserves Yukawa-Kimura prize.

• [1] H. Suzuki, “Energy momentum tensor from the Yang Mills gradient flow”,Prog. Theor. Exp. Phys. 2013, 083B03.
• [2] H. Makino and H. Suzuki,“Lattice energy momentum tensor from the Yang Mills gradient flow―inclusion of fermion fields”, Prog. Theor. Exp. Phys. 2014 (2014) 063B02.
• [3] M.Asakawa, T.Hatsuda, E.Ito, M.Kitazawa and H. Suzuki, “Thermodyamics of SU(3) gauge theory from gradient flow on the lattice”,Phys.Rev. D90 (2014) no.1, 011501,Erratum: Phys.Rev. D92 (2015) no.5, 059902.

Commemorative Lecture

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