Language：English   Publishing type：Research paper (scientific journal)   Publisher：PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE  

In the framework of a pure SU(2) lattice gauge-Higgs unification scenario, we find a. new global symmetry on a Z(2)-orbifolded five-dimensional space. The global symmetry is consistently realized with the Z(2)-orbifolding, independent of the bulk gauge symmetry. It is shown that the vacuum expectation value of a Z(2)-projected Polyakov loop is a good order parameter for the new symmetry. The effective theory on lattice is also discussed.

DOI： 10.1143/PTP.123.257

Web of Science

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：Yukawa Institute for Theoretical Physics  

We present a new formulation of a staggered fermion on a D-dimensional lattice based on the SO(2D] Clifford algebra, which is naturally contained in the action. The action of a massless staggered fermion is invariant under discrete rotations and SO(2D) chiral and other discrete transformations. From the transformation properties of the fermion, we find two local meson operators (one scalar and one pseudoscalar), in addition to two standard meson operators.

DOI： 10.1143/PTP.114.631

Scopus

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Language：Japanese   Publishing type：Thesis (other)  

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Language：Japanese   Publisher：素粒子論グループ 素粒子論研究 編集部  

Extra dimensionを持つ理論のもっとも簡単な模型として,S_1 compact化した5D pure SU(2) Yang-Mills理論を格子MCシミュレーションにより非摂動的に解析した.格子MCシミュレーションによる解析が物理的に意味を持つのは,その格子間隔に物理的なスケールを持たせることが出来る場合であり,連続極限の存在が必要である.5D pure SU(2) YM理論はもともと,摂動論的には繰り込み不可能であるが,4次元からのε-展開によって,non-trivial fixed pointが存在する可能性がある.これまでのMCの解析では,この系には1次相転移しか見つかっていないが,この理論で1次元方向をS_1にcompact化した場合には,その際に導入される非等方パラメータで理論空間を拡張することによって,MCシミュレーションとβ関数の非摂動計算により連続極限の存在を間接的に示す結果を得た.また,4次元で起きる'閉じ込め'という性質が壊れないような5次元方向の半径の最大値はR_<max>〜0.1/√<σ_<phys>>程度であると予想される.

DOI： 10.24532/soken.102.4_D24

CiNii Article

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：AMER PHYSICAL SOC  

We study various representations of infrared effective theory of SU(2) gluodynamics as a (quantum) perfect lattice action. In particular we derive a monopole action and a string model of hadrons from SU(2) gluodynamics. These are lattice actions which give almost cutoff independent physical quantities even on coarse lattices. The monopole action is determined by numerical simulations in the infrared region of SU(2) gluodynamics. The string model of hadrons is derived from the monopole action by using BKT transformation. We illustrate the method and evaluate physical quantities such as the string tension and the mass of the lowest state of the glueball analytically using the string model of hadrons. It turns out that the classical results in the string model are near to the one in quantum SU(2) gluodynamics.

Web of Science

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Language：English   Publishing type：Research paper (scientific journal)  

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE  

We study the perfect monopole action and string model as an infrared effective theory of SU(2) QCD. It is transformed exactly into a lattice string model. The strong coupling expansion of string model shows that the quantum fluctuation is small. The classical string tension and the glueball mass are estimated analytically, and we see that it is very close to the quantum one in the SU(2) QCD.

Web of Science

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Language：English   Publishing type：Research paper (scientific journal)  

Pure lattice (Formula presented) Yang-Mills theory in five dimensions is considered, where an extra dimension is compactified on a circle. Monte Carlo simulations indicate that the theory possesses a continuum limit with a nonvanishing string tension if the compactification radius is smaller than a certain value (Formula presented) which is (Formula presented) of the inverse of the square root of the string tension. We verify nonperturbatively the power-law running of the gauge coupling constant. Our method can be applied to the investigation of continuum limits in other higher-dimensional gauge theories. © 2000 The American Physical Society.

DOI： 10.1103/PhysRevD.62.105025

Scopus

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Language：Japanese   Publisher：素粒子論グループ 素粒子論研究 編集部  

DOI： 10.24532/soken.102.3_C121

CiNii Article

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Language：English   Publishing type：Research paper (international conference proceedings)  

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Language：English   Publishing type：Research paper (scientific journal)   Publisher：Elsevier  

We study the perfect lattice actions of abelian-projected SU(2) gluodynamics. Using the BKT and duality transformations on the lattice, an effective string model is derived from the direction-dependent quadratic monopole action, obtained numerically from SU(2) gluodynamics in maximally abelian gauge. The string tension and the restoration of continuum rotational invariance are investigated using strong coupling expansion of lattice string model analytically. We also found that the block spin transformation can be performed analytically for the quadratic monopole action.

DOI： 10.1016/S0920-5632(99)85128-7

Scopus

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Language：Japanese   Publisher：Japanese Society for Engineering Education  

DOI： 10.20549/jseeja.2015.0_190

CiNii Article

CiNii Books

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Publishing type：Internal/External technical report, pre-print, etc.  

In an SU(2) lattice gauge theory with a Z2 orbifolded extra dimension, the<br />
new symmetry which is called as a stick symmetry is useful in understanding the<br />
bulk transition. We discuss the relation with the Fradkin-Shenker&#039;s phase<br />
diagram as well. A remnant of the extra dimension is remained as two U(1) gauge<br />
symmetries in two 4-dimensional spaces. We also consider more general bulk<br />
gauge groups beyond SU(2).

arXiv

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Language：Japanese   Publisher：Japanese Society for Engineering Education  

DOI： 10.20549/jseejaarc.2010.0_234

CiNii Article

CiNii Books

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Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

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Language：Japanese   Publisher：素粒子論グループ 素粒子論研究 編集部  

DOI： 10.24532/soken.111.6_F12

CiNii Article

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Publishing type：Internal/External technical report, pre-print, etc.  

A five-dimensional lattice space can be decomposed into a number of<br />
four-dimens ional lattices called as layers. The five-dimensional gauge theory<br />
on the lattice can be interpreted as four-dimensional gauge theories on the<br />
multi-layer with interactions between neighboring layers. In the theory, there<br />
exist two independent coupling constants; $\beta_4$ controls the dynamics<br />
inside a layer and $\beta_5$ does the strength of the inter-layer<br />
interaction.We propose the new possibility to realize the continuum limit of a<br />
five-dimensional theory using four-dimensional dynamics with large $\beta_4$<br />
and small $\beta_5$. Our result is also related to the higher dimensional<br />
theory by deconstruction approach.

arXiv

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Language：Japanese   Presentation type：Oral presentation (general)  

Venue：鹿児島大学  

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Language：Japanese   Presentation type：Oral presentation (general)  

Venue：筑波大学  

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Venue：九州大学  

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Language：Japanese   Presentation type：Oral presentation (general)  

Venue：広島大学  

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Language：English   Presentation type：Poster presentation  

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Language：Japanese   Presentation type：Poster presentation  

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Language：Japanese   Presentation type：Poster presentation  

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Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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Language：Japanese   Presentation type：Oral presentation (general)  

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Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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Language：English   Presentation type：Poster presentation  

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Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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Language：English   Presentation type：Oral presentation (general)  

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Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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Language：English   Presentation type：Poster presentation  

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Language：Japanese   Presentation type：Oral presentation (general)  

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Language：English   Presentation type：Oral presentation (general)  

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Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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Language：Japanese   Presentation type：Oral presentation (general)  

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Language：Japanese   Presentation type：Oral presentation (general)  

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Language：Japanese   Presentation type：Oral presentation (general)  

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