The sigma model at finite temperature is studied using
lattice Monte Carlo simulations on with radii
and , respectively, where the ratio of the circumferences is
taken to be suf...

Journal of High Energy Physics 1905 093 May 2019 [Refereed]

Motivated by recent studies on the resurgence structure of quantum field theories, we numerically study the nonperturbative phenomena of the SU() gauge theory in a weak coupling regime. We found that topological objects with a fractional charge...

We present the scale-setting function and the equation of state of the pure SU(2) gauge theory using the gradient flow method. We propose a reference scale t0 for the SU(2) gauge theory satisfying . This ref...

The chemical potential () dependence of the topological susceptibility with two-color two-flavor QCD is studied. We find that at temperature , where denotes the critical temperature at zero chemical potential, the t...

We study the equation of state of pure SU() gauge theory using Monte Carlo simulations. The scale-setting of lattice parameters has been carried by using the gradient flow. We propose a reference scale for the SU() gauge theory sati...

To obtain the precise values of the bulk quantities and transport coefficients in quark-gluon-plasma phase, we propose that a direct calculation of the renormalized energy-momentum tensor (EMT) on the lattice using the gradient flow. From one-p...

Int. J. Mod.Phys.A 31(35) 1650192 Dec 2016 [Refereed]

We study the entanglement entropy (EE) for pure gauge theories in 1+1 dimensions with the lattice regularization. Using the definition of the EE for lattice gauge theories proposed in a previous paper [1] (S. Aoki, T. Iritani, M. Nozaki, T. Num...

Etsuko Itou, Keitaro Nagata, Yoshiyuki Nakagawa, Atsushi Nakamura, V. I. Zakharov

Progress of Theoretical and Experimental Physics 6 061B01 Jan 2016 [Refereed]

We investigate the quantum entanglement entropy for the four-dimensional Euclidean SU(3) gauge theory. We present the first non-perturbative calculation of the entropic -function () of SU(3) gauge theory in lattice Monte Carlo simulati...

Proceeding of science (Lattice2015) 303 Nov 2015 [Refereed]

Recently, we proposed a novel method to define and calculate the energy-momentum tensor (EMT) in lattice gauge theory on the basis of the Yang-Mills gradient flow [1]. In this proceedings, we summarize the basic idea and technical steps to obta...

We study the parametrization of lattice spacing and thermodynamics of SU(3) gauge theory on the basis of the Yang-Mills gradient flow on fine lattices. The lattice spacing of the Wilson gauge action is determined over a wide range $6.3\le\beta\...

Proceeding of science (Lattice2015) 152 Oct 2015 [Refereed]

For the -symmetric lattice QCD-like theory (-QCD), in which gauge theory is coupled with three fundamental Wilson quarks with flavor-dependent twisted boundary conditions, we calculate the expectation values of Polyakov loop...

We investigate QCD-like theory with exact center symmetry, with emphasis on the finite-temperature phase transition concerning center and chiral symmetries. On the lattice, we formulate center symmetric gauge theory with three fundament...

Proceeding of science (Lattice2014) 022 Dec 2014 [Refereed]

We analyze bulk thermodynamics and correlation functions of the energy-momentum tensor in pure Yang-Mills gauge theory using the energy-momentum tensor defined by the gradient flow and small flow time expansion. Our results on thermodynamic obs...

Proceeding of science (Lattice2014) 252 Nov 2014 [Refereed]

We show the numerical simulation result for the mass anomalous dimension of the SU() gauge theory coupled to fundamental fermions. We use two independent methods, namely the step scaling method and the hyperscaling method of the D...

Progress of Theoretical and Experimental Physics 4 043B08 Apr 2014 [Refereed]

We propose a novel renormalization scheme for the hadronic operators. The renormalization factor of the operator in this scheme is normalized by the correlation function at tree level in coordinate space. If we focus on the pseudo scalar operat...

We investigate the nonperturbative phase structure of five-dimensional SU(3) pure Yang-Mills theory on the lattice. We perform numerical simulations using the Wilson plaquette gauge action on an anisotropic lattice with a four-dimensional lattice ...

Phys. Rev. D 90, 011501 (2014) Dec 2013 [Refereed]

A novel method to study the bulk thermodynamics in lattice gauge theory is proposed on the basis of the Yang-Mills gradient flow with a fictitious time t. The energy density (epsilon) and the pressure (P) of SU(3) gauge theory at fixed temperat...

Proceeding of science (Lattice2013) 103 Nov 2013 [Refereed]

We explore the phase structure and symmetry breaking in four-dimensional SU(3) gauge theory with one spatial compact dimension on the lattice in the presence of fermions in the adjoint and fundamental representations with general boundary condi...

Proceeding of science (Lattice2013) 005 Nov 2013 [Refereed]

We report the nonperturbative behavior of the twisted Polyakov loop (TPL) coupling constant for the SU(3) gauge theories defined by the ratio of Polyakov loop correlators in finite volume with twisted boundary condition. Carrying out the numeri...

Proceeding of science (Lattice2013) 481 Nov 2013 [Refereed]

We propose a novel renormalization scheme for the hadronic operators. As an example, we show the numerical simulation result for the anomalous dimension of the pseudo scalar operator of the SU(3) gauge theory coupled to Nf = 12 fundamental ferm...

Progress of Theoretical and Experimental Physics 8 083B01 Aug 2013 [Refereed]

We report the nonperturbative behavior of the twisted Polyakov loop (TPL) coupling constant for the SU(3) gauge theories defined by the ratio of Polyakov loop correlators in finite volume with twisted boundary condition. We reveal the vacuum st...

Incorporated with twisted boundary condition, Polyakov loop correlators can give a definition of the renormalized coupling. We employ this scheme for the step scaling method (with step size s = 2) in the search of conformal fixed point of SU(3)...

Hiroshi Ohki, Tatsumi Aoyama, Etsuko Itou, Masafumi Kurachi, C. -J. David Lin, Hideo Matsufuru, Tetsuya Onogi, Eigo Shintani, Takeshi Yamazaki

PoS Lattice2010:066,2010 Nov 2010 [Refereed]

We present our preliminary study of the SU(2) gauge theory with 8 flavors of fermions in fundamental representation. This theory could be a candidate of the gauge theory with conformal fixed point. By using Wilson/Polyakov loop in a finite volu...

Etsuko Itou, Tatsumi Aoyama, Masafumi Kurachi, C. -J. David Lin, Hideo Matsufuru, Hiroshi Ohki, Tetsuya Onogi, Eigo Shintani, Takeshi Yamazaki

PoS Lattice2010:054,2010 Nov 2010 [Refereed]

We measure the renormalized coupling in the Twisted Polyakov loop scheme for SU(3) gauge theory coupled with fundamental fermions. To find the infrared fixed point of this theory, we focus on the step scaling function for the renormali...

We present a non-perturbative study of the running coupling constant in the Twisted Polyakov Loop (TPL) scheme. We investigate how the systematic and statistical errors can be controlled {\it via} a feasibility study in SU(3) pure Yang-Mills th...

Erek Bilgici, Antonino Flachi, Etsuko Itou, Masafumi Kurachi, C. -J David Lin, Hideo Matsufuru, Hiroshi Ohki, Tetsuya Onogi, Takeshi Yamazaki

Phys.Rev.D80:034507,2009 Feb 2009 [Refereed]

We propose a new renormalization scheme of the running coupling constant in general gauge theories using the Wilson loops. The renormalized coupling constant is obtained from the Creutz ratio in lattice simulations and the corresponding perturb...

Erek Bilgici, Antonino Flachi, Etsuko Itou, Masafumi Kurachi, C. -J David Lin, Hideo Matsufuru, Hiroshi Ohki, Tetsuya Onogi, Takeshi Yamazaki

PoS LATTICE2008:247,2008 Aug 2008 [Refereed]

We propose a new method to compute the running coupling constant of gauge theories on the lattice. We first give the definition of the running coupling in the new scheme using the Wilson loops in a finite volume, and explain how the running of ...

We construct supersymmetric conformal sigma models in three dimensions. Nonlinear sigma models in three dimensions are nonrenormalizable in perturbation theory. We use the Wilsonian renormalization group equation method, which is one of the non...

The Wilson effective action for general Yang-Mills gauge theory is shown to satisfy the usual form of Batalin-Vilkovisky (BV) master equation, despite that a momentum cutoff apparently breaks the gauge invariance. In the case of Abelian gauge t...

Progress of Theoretical Physics 117(6) 1139-1156 Jun 2007 [Refereed]

We construct novel conformal sigma models in three dimensions. Nonlinear sigma models in three dimensions are nonrenormalizable in perturbation theory. We use Wilsonian renormalization group equation method to find the fixed points. Existence o...

We consider a supersymmetric extension of the standard model, which possess a family symmetry based on a binary dihedral group Q6, and investigate the consequences of the family symmetry on the mixing of fermions, FCNCs and the stability of pro...

Family symmetry could explain large mixing of the atmospheric neutrinos. The same symmetry could explain why the flavor changing current processes in supersymmetric standard models can be so suppressed. It also may be able to explain why the pr...

Journal of Physics A (Proceedings of Renormalization Group 2005) 39(25) Nov 2005 [Refereed]

In this paper, we study three dimensional NLMs within two kind of nonperturbative methods; WRG and large-N expansion. First, we investigate the renormalizability of some NLMs using WRG equation. We find that some models have a n...

Non-perturbative renormalization group approach suggests that a large class of nonlinear sigma models are renormalizable in three dimensional space-time, while they are non-renormalizable in perturbation theory. supersymmetric nonline...

Proceedings of 12th International Conference on Supersymmetry Conference 911-914 Sep 2004 [Refereed]

We find a class of fixed point theory for 2- and 3-dimensional non-linear sigma models using Wilsonian renormalization group (WRG) approach. In 2-dimensional case, the fixed point theory is equivalent to the Witten's semi-infinite cigar model. ...

Prog.Theor.Phys. 109 (2003) 751-764 Feb 2003 [Refereed]

The Wilsonian renormalization group (WRG) equation is used to derive a new class of scale invariant field theories with nonvanishing anomalous dimensions in 2-dimensional supersymmetric nonlinear sigma models. When the coordinates ...

Prog.Theor.Phys. 108 (2002) 737-753 May 2002 [Refereed]

We derive the Wilsonian renormalization group equation in two dimensional supersymmetric nonlinear sigma models. This equation shows that the sigma models on compact Einstein Kähler manifolds are aymptotically free. This result...

Prog.Theor.Phys. 108 (2002) 185-202 Mar 2002 [Refereed]

Riemann normal coordinates (RNC) are unsuitable for \kahler manifolds since they are not holomorphic. Instead, \kahler normal coordinates (KNC) can be defined as holomorphic coordinates. We prove that KNC transform as a holomorphic tangent vect...