Renormalization group approach to light-front Hamiltonian(光円錐ハミルトニアンにおけるくりこみ群の方法)

Takanori Sugihara, Masanobu Yahiro

We propose a non-perturbative renormalization procedure for light-front Hamiltonian. Wilson's renormalization group prescription is applied to ..1<,64-model within a light-front Fock space truncated up to three-body state. Renormalized Hamiltonian which preserves lowenergy physics for arbitrary renormalization transformations is presented. Renormalization group equations for mass parameter tl and coupling constant A are derived by integrating high invariant mass space and rescaling transverse momenta and fields.

義武 山崎

T. Sugihara, Masanobu Yahiro

We propose a non-perturbative renormalization procedure for light-front Hamiltonian. Wilson's renormalization group prescription is applied to λΦ4-model within a light-front Fock space truncated up to three-body state. Renormalized Hamiltonian which preserves low-energy physics for arbitrary renormalization transformations is presented. Renormalization group equations for mass parameter μ2 and coupling constant λ are derived by integrating high invariant mass space and rescaling transverse momenta and fields.

Yoshitake Yamazaki

Carter M. Gustin, Kamil Serafin, William A. Simon +3 more

We apply the renormalization group procedure for effective particles (RGPEP) to the front form Yukawa Hamiltonian, yielding a renormalized (effective) Hamiltonian, accurate up to second order in the coupling strength. Subsequently, we examine the spectrum and parton distribution functions produced by the renormalized Hamiltonian, and show that the addition of counterterms leads to finite results. Resource estimates for quantum simulation are calculated for a single “ladder operator block encoding” (LOBE), and show that the cost to block encode the renormalized Hamiltonian is comparable to block encoding the bare Hamiltonian.

Germán Sierra, Tomotoshi Nishino