Yoshiyuki YAMAGUCHI

The General Research Organization of Science and Engineering,
Ritsumeikan University,
Kusatsu, Shiga, 525-8577, 
Japan
yamaguchi@allegro.phys.nagoya-u.ac.jp

Renormalization group equation and integrability

Abstract : We investigate Hamiltonian systems with two degrees of freedom by using renormalization group method, which vanishes secular terms and reduces equation of motion to renormalization group equation. We show that the original Hamiltonian systems and the renormalization group equations are integrable

if the renormalization group equations are Hamiltonian systems up to the second leading order of small parameter.by using renormalization group method, which vanishes secular terms and reduces equation of motion to renormalization group equation. We show that the original Hamiltonian systems and the renormalization group equations are integrable if the renormalization group equations are Hamiltonian systems up to the second leading order of small parameter.