127 citations · 1.1k across the 72 of their papers we have counts for
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Functional renormalization group study of the Nambu--Jona-Lasinio model at finite temperature and density in an external magnetic field
Ken-Ichi Aoki, Hidenari Uoi, Masatoshi Yamada
In this study, we investigate the Nambu--Jona-Lasinio (NJL) model at finite temperature and finite density in an external magnetic field using the functional renormalization group.…
The RG flow of Nambu--Jona-Lasinio model at finite temperature and density
Ken-Ichi Aoki, Masatoshi Yamada
We study the Nambu--Jona-Lasinio model at finite temperature and finite density by using the functional renormalization group. The RG flows of the four-fermi coupling constant in t…
Analysis of the Dynamical Chiral Symmetry Breaking in QCD at Finite Temperature and Density using the Non-Perturbative Renormalization Group
Ken-Ichi Aoki, Daisuke Sato, Masatoshi Yamada
We analyze the Nambu--Jona-Lasinio model which is a chiral effective model of QCD by using the non-perturbative renormalization group at finite temperature and finite density. We d…
Violations of local equilibrium and linear response in classical lattice theories
Kenichiro Aoki, Dimitri Kusnezov
We study the dynamics of theory and the FPU model under thermal gradients, from first principles. We analyze quantitatively how local equilibrium and linear response are…
Mass inequalities in two dimensional gauged four fermi models
Kenichiro Aoki, Kenji Ito
We quantitatively analyze the meson mass inequality relations of two dimensional gauged four fermi models in the large N limit. The class of models we study includes the 't Hooft m…
Non-Equilibrium Statistical Mechanics of Classical Lattice Field Theory
Kenichiro Aoki, Dimitri Kusnezov
Classical theory in weak and strong thermal gradients is studied on the lattice in (1+1) dimensions. Classical theory in weak and strong thermal gradients is studied on…
Classical Lattice Field Theory in Strong Thermal Gradients
Kenichiro Aoki, Dimitri Kusnezov
The dynamics of classical theory under weak and strong thermal gradients is studied. We obtain the thermal conductivity of the theory including its temperature dependence. Un…
Non-Equilibrium Steady States and Transport in the Classical Lattice Theory
Kenichiro Aoki, Dimitri Kusnezov
We study the classical non-equilibrium statistical mechanics of scalar field theory on the lattice. Steady states are analyzed near and far from equilibrium. The bulk thermal condu…
Physics of the gauged four fermi model in dimensions
Kenichiro Aoki, Kenji Ito
We analyze a two dimensional model of gauged fermions with quartic couplings in the large-N limit. This combines the 't Hooft model and the Gross-Neveu model where the coupling con…
Non-decoupling effects due to a dimensionful coupling
Kenichiro Aoki
We show that the dimensionful scalar cubic coupling in 3+1 dimensions gives rise to non-decoupling effects and analyze the behavior of these effects. In the process, we clarify how…
Non-perturbative Renormalization Group Approach to Dynamical Chiral Symmetry Breaking in Gauge Theories
Ken-Ichi Aoki
We analyze the dynamical chiral symmetry breaking in gauge theories solely by the non-perturbative renormalization group, without recourse to the Schwinger-Dyson method. First, we…
Non-Perturbative Renormalization Group Analysis of the Chiral Critical Behaviors in QED
Ken-Ichi Aoki, Keiichi Morikawa, Jun-Ichi Sumi +2
We study the chiral critical behaviors of QED by using Non-Perturbative Renormalization Group (NPRG). Taking account of the non-ladder contributions, our flow equations are free fr…
The effectiveness of the local potential approximation in the Wegner-Houghton renormalization group
Ken-Ichi Aoki, Keiichi Morikawa, Wataru Souma +2
The non-perturbative Wegner-Houghton renormalization group is analyzed by the local potential approximation in O(N) scalar theories in d-dimensions . The leading c…
Triviality, perturbation theory and
Kenichiro Aoki, Santiago Peris
We compute the large- contributions to the vertex in the Standard Model non-perturbatively using both the $1/\nc$ and the $1/\nf$ expansions. Triviality and it…
Large--order behavior of non--decoupling effects and triviality
Kenichiro Aoki
We compute some non--decoupling effects in the standard model, such as the parameter, to all orders in the coupling constant expansion. We analyze their large order behavior an…
Effects of new physics to the the --parameter in the supersymmetric standard model
Kenichiro Aoki
The contribution to the --parameter of the quark--Higgs sector of the supersymmetric standard model is computed non--perturbatively using the large--$\nf$ expansion for the case…
Non--perturbative evidence for non--decoupling of heavy fermions
Kenichiro Aoki, Santiago Peris
We investigate, using a expansion, the behavior of a parameter in the scalar--fermion sector of the standard model that shows perturbative non--decoupling as the fermion beco…
Non--decoupling, triviality and the parameter
Kenichiro Aoki, Santiago Peris
The dependence of the parameter on the mass of the Higgs scalar and the top quark is computed non--perturbatively using the expansion in the standard model. We find an…