127 citations · 1.1k across the 72 of their papers we have counts for
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Phase structure of NJL model with weak renormalization group
Ken-Ichi Aoki, Shin-Ichiro Kumamoto, Masatoshi Yamada
We analyze the chiral phase structure of the Nambu--Jona-Lasinio model at finite temperature and density by using the functional renormalization group (FRG). The renormalization gr…
Weak solution of the non-perturbative renormalization group equation to describe the dynamical chiral symmetry breaking
Ken-Ichi Aoki, Shin-Ichiro Kumamoto, Daisuke Sato
We analyze the dynamical chiral symmetry breaking (DSB) in the Nambu-Jona-Lasinio (NJL) model by using the non-perturbative renormalization group (NPRG) equation. The equation t…
Weak solution method of the non-perturbative renormalization group equation to describe dynamical chiral symmetry breaking and its application to beyond the ladder analysis in QCD
Ken-Ichi Aoki, Daisuke Sato
The method of non-perturbative renormalization group (NPRG) is applied to the analysis of dynamical chiral symmetry breaking (DCSB) in QCD. We show that the DCSB solution of the NP…
Uniqueness and Significance of Weak Solution of Non-perturbative Renormalization Group Equation to Analyze Dynamical Chiral Symmetry Breaking
Ken-Ichi Aoki, Shin-Ichiro Kumamoto, Daisuke Sato
We propose quite a new method of analyzing the dynamical chiral symmetry breaking in gauge theories. Starting with the non-perturbative renormalization group equation for the Wilso…
Solving the QCD non-perturbative flow equation as a partial differential equation and its application to the dynamical chiral symmetry breaking
Ken-Ichi Aoki, Daisuke Sato
Non-perturbative renormalization group approach to the dynamical chiral symmetry breaking is an effective method which can accommodate beyond the ladder (mean filed) approximation.…
On the Construction of Asymmetric Orbifold Models
Kenichiro Aoki, Eric D'Hoker, D. H. Phong
Various asymmetric orbifold models based on chiral shifts and chiral reflections are investigated. Special attention is devoted to the consistency of the models with two fundamenta…
Two-Loop Superstrings on Orbifold Compactifications
Kenichiro Aoki, Eric D'Hoker, D. H. Phong
The two-loop chiral measure for superstring theories compactified on $\bZ_2$ reflection orbifolds is constructed from first principles for even spin structures. This is achieved by…
Scheme Dependence of the Wilsonian Effective Action and Sharp Cutoff Limit of the Flow Equation
Jun-Ichi Sumi, Wataru Souma, Ken-Ichi Aoki +2
The cutoff scheme dependence in the several formulations of the Exact Renormalization Group (ERG) is investigated. It is shown that the cutoff scheme dependence of the Wilsonian ef…
Non-ladder Extended Renormalization Group Analysis of the Dynamical Chiral Symmetry Breaking
Ken-Ichi Aoki, Kaoru Takagi, Haruhiko Terao +1
The order parameters of dynamical chiral symmetry breaking in QCD, the dynamical mass of quarks and the chiral condensates, are evaluated by numerically solving the Non-Perturbativ…
Analysis of the Wilsonian Effective Potentials in Dynamical Chiral Symmetry Breaking
Ken-Ichi Aoki, Keiichi Morikawa, Jun-Ichi Sumi +2
The non-perturbative renormalization group equation for the Wilsonian effective potential is given in a certain simple approximation scheme in order to study chiral symmetry breaki…
Wilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry
Ken-Ichi Aoki, Keiichi Morikawa, Jun-Ichi Sumi +2
The critical dynamics of the chiral symmetry breaking induced by gauge interaction is examined in the Wilson renormalization group framework in comparison with the Schwinger-Dyson…
Non-Perturbative Renormalization Group and Quantum Tunnelling
Ken-Ichi Aoki, Atsushi Horikoshi, Masaki Taniguchi +1
The non-perturbative renormalization group (NPRG) is applied to analysis of tunnelling in quantum mechanics. The vacuum energy and the energy gap of anharmonic oscillators are eval…
Rapidly Converging Truncation Scheme of the Exact Renormalization Group
Ken-Ichi Aoki, Keiichi Morikawa, Wataru Souma +2
The truncation scheme dependence of the exact renormalization group equations is investigated for scalar field theories in three dimensions. The exponents are numerically estimated…
High energy scattering of non-critical strings
Kenichiro Aoki, Eric D'Hoker
We summarize recent work, in which we consider scattering amplitudes of non-critical strings in the limit where the energy of all external states is large compared to the string te…
Non-critical strings at high energy
Kenichiro Aoki, Eric D'Hoker
We consider scattering amplitudes in non-critical string theory of external states in the limit where the energy of all external states is large compared to the string tension.…
1+1 dimensional QCD with fundamental bosons and fermions
Kenichiro Aoki, Tomoyasu Ichihara
We analyze the properties of mesons in 1+1 dimensional QCD with bosonic and fermionic ``quarks'' in the large $\nc$ limit. We study the spectrum in detail and show that it is impos…
Geometrical origin of integrability for Liouville and Toda theory
Kenichiro Aoki, Eric D'Hoker
We generalize the Lax pair and Bäcklund transformations for Liouville and Toda field theories as well as their supersymmetric generalizations, to the case of arbitrary Riemann surf…
W--Gravity and Generalized Lax Equations for (super) Toda Theory
Kenichro Aoki, Eric D'Hoker
We generalize the Lax pair and Bäcklund transformations for Toda and N=1 super Toda equations to the case of arbitrary worldsheet background geometry. We use the fact that the Toda…
Correlation functions of minimal models coupled to two dimensional quantum supergravity
Kenichiro Aoki, Eric D'Hoker
We compute the three point functions of Neveu--Schwarz primary fields of the minimal models on the sphere when coupled to supergravity in two dimensions. The results show that the…
On the Liouville Approach to Correlation Functions for 2-D Quantum Gravity
Kenichiro Aoki, Eric D'Hoker
We evaluate the three point function for arbitrary states in bosonic minimal models on the sphere coupled to quantum gravity in two dimensions. The validity of the formal continuat…