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Breaking of translational invariance and phase structure

Research Project

Project/Area Number 18540275
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionKobe University

Principal Investigator

SAKAMOTO Makoto  Kobe University, 理学研究科, 助教 (30183817)

Co-Investigator(Kenkyū-buntansha) TANIMURA Shogo  京都大学, 情報学研究科, 准教授 (90273482)
TAKENAGA Kazunori  熊本保健科学大学, 保健科学部, 准教授 (50379294)
Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥3,080,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000)
Keywords並進対称性 / 対称性の破れ / 高次元時空 / 高次元ゲージ理論 / 高次元重力理論 / 量子力学的超対称性 / 有限温度 / ゲージ理論 / 重力理論 / 素粒子物理 / 超対称性
Research Abstract

We have shown that in the framework of higher-dimensional gauge/gravity theories N=2 quantum-mechanical supersymmetry is hidden, and that the origin of the supersymmetry is given by higher-dimensional gauge symmetry and/or higher-dimensional general coordinate invariance. Further, the supersymmetry is found to be closely related to gauge symmetry breaking. We also found that gauge symmetries can be broken even at high temperature in higher-dimensional gauge theories contrary to our expectations.

Report

(6 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report   Self-evaluation Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (48 results)

All 2010 2009 2008 2007 2006

All Journal Article (29 results) (of which Peer Reviewed: 25 results) Presentation (19 results)

  • [Journal Article] High Temperature Symmetry Nonrestoration and Inverse Symmetry Breaking on Extra Dimensions2009

    • Author(s)
      Makoto Sakamoto, Kazunori Takenaga
    • Journal Title

      Phys. Rev D80

      Pages: 85016-85016

    • NAID

      120001711593

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point2009

    • Author(s)
      Makoto Sakamoto
    • Journal Title

      Phys. Rev D79

      Pages: 124038-124038

    • NAID

      120001478921

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Particle Propagation on a Circle with a Point Interaction2009

    • Author(s)
      Satoshi Ohya, Makoto Sakamoto
    • Journal Title

      J. Phys A42

      Pages: 275301-275301

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hierarchy of QM SUSYs on a Bounded Domain2009

    • Author(s)
      Tomoaki Nagasawa, Satoshi Ohya, Kazuki Sakamoto, Makoto Sakamoto, Kosuke Sekiya
    • Journal Title

      J. Phys A42

      Pages: 265203-265203

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] High Temperature Symmetry Nonrestoration and Inverse Symmetry Breaking on Extra Dimensions2009

    • Author(s)
      Makoto Sakamoto
    • Journal Title

      Physical Review D80

    • NAID

      120001711593

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Particle Propagation on a Circle with a Point Interaction2009

    • Author(s)
      Satoshi Ohya
    • Journal Title

      Journal of Physics A42

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hierarchy of QM SUSYs on a Bounded Domain2009

    • Author(s)
      Tomoaki Nagasawa
    • Journal Title

      Journal of Physics A42

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] No-Go Theorem of Leibniz Rule and Supersymmetry on the Lattice2009

    • Author(s)
      Mitsuhiro Kato
    • Journal Title

      proceedings of 26th International Symposium on Lattice Field Theory 掲載確定

    • Related Report
      2008 Annual Research Report
  • [Journal Article] No-Go Theorem of Leibniz Rule and Supersymmetry on the Lattice2008

    • Author(s)
      Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
    • Journal Title

      PoS LATTICE 2008

      Pages: 233-233

    • NAID

      110007230588

    • Related Report
      2009 Final Research Report
  • [Journal Article] Taming the Leibniz Rule on the Lattice, Mitsuhiro Kato2008

    • Author(s)
      Makoto Sakamoto, Hiroto So
    • Journal Title

      JHEP 805

      Pages: 57-57

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Gauge-Fixing and Residual Symmetries in Gauge/Gravity Theories with Extra Dimensions2008

    • Author(s)
      C.S. Lim, Tomoaki Nagasawa, Satoshi Ohya, Kazuki Sakamoto, Makoto Sakamoto
    • Journal Title

      Phys. Rev D77

      Pages: 65009-65009

    • NAID

      120000942852

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Supersymmetry in 5d gravity2008

    • Author(s)
      C.S. Lim, Tomoaki Nagasawa, Satoshi Ohya, Kazuki Sakamoto, Makoto Sakamoto
    • Journal Title

      Phys. Rev D77

      Pages: 45020-45020

    • NAID

      120000942849

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Multi-Higgs Mass Spectrum in Gauge-Higgs Unification2008

    • Author(s)
      Kentaro Kojima, Kazunori Takenaga, Toshifumi Yamashita
    • Journal Title

      Phys. Rev D77

      Pages: 75004-75004

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Taming the Leibniz Rule on the Lattice2008

    • Author(s)
      Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
    • Journal Title

      JHEP0805 057

      Pages: 1-15

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Gauge-Fixing and Residual Symmetries inGauge/Gravity Theories with Extra Dimensions2008

    • Author(s)
      C.S.Lim, Tomoaki Nagasawa, Satoshi Ohya, Kazuki Sakamoto, Makoto Sakamoto
    • Journal Title

      Phys. Rev. D77

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Supersymmetry in 5d gravity2008

    • Author(s)
      C.S.Lim, Tomoaki Nagasawa, Satoshi Ohya, Kazuki Sakamoto, Makoto Sakamoto
    • Journal Title

      Phys.Rev. D77

    • NAID

      120000942849

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Taming the Leibniz Rule on the Lattice2008

    • Author(s)
      Mitsuhiro Kato
    • Journal Title

      Journal of High Energy Physics 05

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Supersymmetry in 5D gravity2008

    • Author(s)
      C. S. Lim
    • Journal Title

      Physical Review D 77

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Gauge fixing and residual symmetries in gauge/gravity theories with extra dimensions2008

    • Author(s)
      C. S. Lim
    • Journal Title

      Physical Review D 77

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On Gauge Symmetry Breaking via Euclidean Time Component of Gauge Fields2007

    • Author(s)
      Makoto Sakamoto, Kazunori Takenaga
    • Journal Title

      Phys. Rev D76

      Pages: 85016-85016

    • NAID

      120000945823

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Large gauge hierarchy in gauge-Higgs unification2007

    • Author(s)
      Makoto Sakamoto, Kazunori Takenaga
    • Journal Title

      Phys. Rev D75

      Pages: 45015-45015

    • NAID

      110006243036

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Two Loop finiteness of Higgs mass and potential in the gauge-Higgs unification2007

    • Author(s)
      Y. Hosotani, N. Maru, K. Takenaga, Toshifumi Yamashita
    • Journal Title

      Prog. Theor. Phys 118

      Pages: 1053-1068

    • NAID

      110006532231

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Symmetry Breaking via Euclidean Time Component of Gauge Fields2007

    • Author(s)
      Makoto Sakamoto, Kazunori Takenaga
    • Journal Title

      Phys.Rev. D76

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Large gauge hierarchy in gauge-Higgs unification2007

    • Author(s)
      Makoto Sakamoto, Kazunori Takenaga
    • Journal Title

      Phys. Rev. D75

    • NAID

      110006243036

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Gauge symmetry breaking via Euclidean time component of gauge fields2007

    • Author(s)
      Makoto Sakamoto
    • Journal Title

      Physical Review D 76

    • NAID

      120000945823

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Large gauge hierarchy in gauge-Higgs unification2007

    • Author(s)
      Makoto Sakamoto
    • Journal Title

      Physical Review D (掲載決定済み)(未定)

    • NAID

      120000942637

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Leibniz rule and exact supersymmetry on lattice: A Case of supersymmetrical quantum mechanics2006

    • Author(s)
      Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
    • Journal Title

      PoS LAT2005

      Pages: 274-274

    • Related Report
      2009 Final Research Report
  • [Journal Article] Bulk Mass Effects in Gauge-Higgs Unification at Finite Temperature2006

    • Author(s)
      Nobuhito Maru, Kazunori Takenaga
    • Journal Title

      Phys. Rev D74

      Pages: 15017-15017

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effects of bulk mass in gauge-Higgs unification2006

    • Author(s)
      Nobuhito Maru, Kazunori Takenaga
    • Journal Title

      Phys. Lett B637

      Pages: 287-294

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Presentation] Exact RG flow of point interactions in one dimension2010

    • Author(s)
      大谷聡
    • Organizer
      日本物理学会
    • Place of Presentation
      甲南大学
    • Year and Date
      2010-03-22
    • Related Report
      2009 Final Research Report
  • [Presentation] Exact RG flow of point interactions in one dimension2010

    • Author(s)
      大谷聡
    • Organizer
      日本物理学会
    • Place of Presentation
      岡山大学(岡山県)
    • Year and Date
      2010-03-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] アインシュタイン量子重力理論の強結合領域におけるLifshitz点2009

    • Author(s)
      坂本眞人
    • Organizer
      日本物理学会
    • Place of Presentation
      甲南大学
    • Year and Date
      2009-09-12
    • Related Report
      2009 Final Research Report
  • [Presentation] アインシュタイン量子重力理論の強結合領域における Lifshitz 点2009

    • Author(s)
      坂本眞人
    • Organizer
      日本物理学会
    • Place of Presentation
      甲南大学(兵庫県)
    • Year and Date
      2009-09-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] High temperature inverse symmetry breaking and symmetry non-restoration with extra dimensions2009

    • Author(s)
      竹永和典
    • Organizer
      日本物理学会
    • Place of Presentation
      甲南大学
    • Year and Date
      2009-09-11
    • Related Report
      2009 Final Research Report
  • [Presentation] High temperature inverse symmetry breaking and symmetry nonrestoration with extra dimensions2009

    • Author(s)
      竹永和典
    • Organizer
      日本物理学会
    • Place of Presentation
      甲南大学(兵庫県)
    • Year and Date
      2009-09-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] Particle propagation on a circle with a point defect2009

    • Author(s)
      大谷聡
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-30
    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
  • [Presentation] Partiele propagation on a circle with a point defect2009

    • Author(s)
      大谷 聡
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] 格子超対称性、ライプニッツ則および結合則2008

    • Author(s)
      宗博人
    • Organizer
      日本物理学会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-20
    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
  • [Presentation] 高温極限での細谷機構の振る舞い2008

    • Author(s)
      竹永和典
    • Organizer
      日本物理学会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-20
    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
  • [Presentation] Hierarchy of quantum mechanical supersymmetries and its application to compactified field theory2008

    • Author(s)
      大谷聡
    • Organizer
      日本物理学会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-20
    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
  • [Presentation] Hierarchy of quantum mechanical supersymmetries and its applicntion to compactified field theory2008

    • Author(s)
      大谷 聡
    • Organizer
      日本物理学会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] 格子超対称性、ライノニッツ則および結合則2008

    • Author(s)
      宗 博人
    • Organizer
      日本物理学会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] 高温極限での細谷機構の振る舞い2008

    • Author(s)
      竹永 和典
    • Organizer
      日本物理学会
    • Place of Presentation
      山 形 大 学
    • Year and Date
      2008-09-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] Hidden SUSY structure in 5d gravity2008

    • Author(s)
      阪本和紀
    • Organizer
      日本物理学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-26
    • Related Report
      2009 Final Research Report
  • [Presentation] Hidden SUSY Structure in 5d Gravity2008

    • Author(s)
      阪本和紀
    • Organizer
      日本物理学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-26
    • Related Report
      2008 Self-evaluation Report 2007 Annual Research Report
  • [Presentation] Gauge Fixing and Residual SUSY-like Symmetries in 5d Gravity2007

    • Author(s)
      大谷聡
    • Organizer
      日本物理学会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-23
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] ゲージ場のユークリッド時間成分によるゲージ対称性の破れ2007

    • Author(s)
      竹永和典
    • Organizer
      日本物理学会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-22
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] 格子超対称性の行列表示2007

    • Author(s)
      坂本眞人
    • Organizer
      日本物理学会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-21
    • Related Report
      2009 Final Research Report 2007 Annual Research Report

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Published: 2006-04-01   Modified: 2016-04-21  

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