Practical use of non-perturbative renormalizations on the lattice

• Project/Area Number: 22540265
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: University of Tsukuba
• Principal Investigator: TANIGUCHI Yusuke 筑波大学, 数理物質系, 講師 (60322012)
• Project Period (FY): 2010-04-01 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000); Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
• Keywords: 有限密度相転移 / 有限温度相転移 / 改良作用 / smearing / Schrodinger functional / 繰り込み / 格子QCD / カノニカル分配関数 / 実化学ポテンシャル / 格子理論 / 非摂動論的繰り込み / 有限温度QCD / 相転移の次数 / SF scheme / 非摂動論的なくりこみ

Outline of Final Research Achievements

The theme of this project is an application of the non-perturbative renormalization in lattice QCD. Main applications are determination of several parameters in lattice QCD and study of the finite temperature and density phase transition in lattice QCD. Research is done for the following five topics: 1. Search of a good lattice QCD action which suppresses lattice spacing dependences of the step scaling function in the Schrodinger functional scheme. 2. Non-perturbative correction to the clover term in the improved Wilson fermion in which the smeared gauge link is adopted. 3. Non-Perturbative renormalization of important physical quantities in the Nf=2+1 lattice QCD. 4. Restoration of the anomalous U(1)A symmetry at finite temperature and its affect to the order of the chiral phase transition. 5. Study of the finite density phase transition in lattice QCD using canonical approach.

Research Products

• [Journal Article] Canonical approach to the finite density QCD with winding number expansion (2015)
  • Author(s): A. Nakamura, S. Oka, Y. Taniguchi,
  • Journal Title: PoS LATTICE 2014 Volume: 198 Pages: 1-7
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] 1st or 2nd; the order of finite temperature phase transition of Nf=2 QCD from effective theory analysis (2013)
  • Author(s): S. Aoki, H. Fukaya and Y. Taniguchi
  • Journal Title: PoS LATTICE Volume: 2013 Pages: 139-146
  • Peer Reviewed
• [Journal Article] Perturbative renormalization factors of four-quark operators for improved Wilson fermion action and Iwasaki gauge action (2012)
  • Author(s): Y. Taniguchi
  • Journal Title: JHEP Volume: 1204 Issue: 4
  • DOI: 10.1007/jhep04(2012)143
  • Peer Reviewed
• [Journal Article] Chiral symmetry restoration, eigenvalue density of Dirac operator and axial U(1) anomaly at finite temperature (2012)
  • Author(s): S. Aoki
  • Journal Title: Physical Review D Volume: 86 Issue: 11 Pages: 114512-114512
  • DOI: 10.1103/physrevd.86.114512
  • Peer Reviewed
• [Journal Article] Non-perturbative evaluation of c(SW) for smeared link clover fermion and Iwasaki gauge action (2012)
  • Author(s): Y. Taniguchi
  • Journal Title: PoS LATTICE2012 Volume: 2012
  • Peer Reviewed
• [Journal Article] Renormalization factor of four Fermi operators with clover fermion and Iwasaki gauge action (2011)
  • Author(s): Y.Taniguchi
  • Journal Title: PoS LATTICE2011 Volume: 2011
  • Peer Reviewed
• [Journal Article] Non-perturbative rerlormahzation of quark mass in Nf=2+1 QCD with the Schroedinger functional scheme (2010)
  • Author(s): Y.Taniguchi, et al.
  • Journal Title: JHEP Volume: 1008 Pages: 1-25
  • Peer Reviewed
• [Journal Article] Non-perturbative renormalization of quark mass in Nf=2+1 QCD with the Schroedinger functional scheme (2010)
  • Author(s): Y.Taniguchi
  • Journal Title: PoS LATTICE2010 Volume: 2010 No242 Pages: 1-7
• [Presentation] カノニカル法による格子QCDの有限密度相転移現象の研究 (2015)
  • Author(s): 谷口裕介
  • Organizer: 日本物理学会 第70回年次大会
  • Place of Presentation: 早稲田大学 早稲田キャンパス（東京都）
  • Year and Date: 2015-03-21 – 2015-03-24
• [Presentation] Study of high density phase transition in lattice QCD with canonical approach (2015)
  • Author(s): Yusuke Taniguchi
  • Organizer: CCS-BNL Workshop on Lattice Gauge Theories 2015
  • Place of Presentation: Centor for Computational science, University of Tsukuba（茨城県）
  • Year and Date: 2015-03-12 – 2015-03-13
  • Invited
• [Presentation] カノニカル法による格子QCD有限密度相転移現象への挑戦 (2015)
  • Author(s): 谷口裕介
  • Organizer: 九大研究会 -格子QCDと現象論模型による有限温度・有限密度の物理の解明-
  • Place of Presentation: 九州大学箱崎キャンパス（福岡県）
  • Year and Date: 2015-02-19
  • Invited
• [Presentation] カイラル相転移を追いかけて (2015)
  • Author(s): 谷口裕介
  • Organizer: 素粒子論の展望：80年代、90年代から未来へ
  • Place of Presentation: 大阪大学豊中キャンパス（大阪府）
  • Year and Date: 2015-02-14
  • Invited
• [Presentation] Canonical approach to the finite density lattice QCD with winding number expansion (II) (2014)
  • Author(s): Yusuke Taniguchi
  • Organizer: Fourth Joint Meeting of the Nuclear Physics Divisions of the American Physical Society and The Physical Society of Japan
  • Place of Presentation: Hilton Waikoloa Village, USA
  • Year and Date: 2014-10-07 – 2014-10-11
• [Presentation] カノニカル法による格子QCDの有限密度相転移現象への挑戦 (2014)
  • Author(s): 谷口裕介
  • Organizer: 理研シンポジウム・iTHES研究会 「熱場の量子論とその応用」
  • Place of Presentation: 理化学研究所 大河内記念ホール（埼玉県）
  • Year and Date: 2014-09-03 – 2014-09-05
• [Presentation] Canonical approach to the finite density QCD with winding number expansion (2014)
  • Author(s): Yusuke Taniguchi
  • Organizer: The 32nd International Symposium on Lattice Field Theory
  • Place of Presentation: Columbia University, New York, USA
  • Year and Date: 2014-06-23 – 2014-06-28
• [Presentation] 1st or 2nd; the order of finite temperature phase transition of Nf=2 QCD from effective theory (2014)
  • Author(s): Y. Taniguchi
  • Organizer: Lattice QCD at finite temperature and density
  • Place of Presentation: 高エネルギー加速器研究機構
  • Invited
• [Presentation] 1st or 2nd; the order of finite temperature phase transition of Nf=2 QCD from effective theory analysis (2013)
  • Author(s): Y. Taniguchi
  • Organizer: The 31st International Symposium on Lattice Field Theory
  • Place of Presentation: Johannes Gutenberg University Mainz, Germany
• [Presentation] Two flavor QCDの有限温度相転移次数の有効理論による解析 (2013)
  • Author(s): 谷口裕介
  • Organizer: 日本物理学会 2013年 秋季大会
  • Place of Presentation: 高知大学朝倉キャンパス
• [Presentation] Non-perturbative evaluation of cSW for smeared link clover fermion with Iwasaki gauge action (2012)
  • Author(s): Y. Taniguchi
  • Organizer: The XXX International Symposium on Lattice Field Theory
  • Place of Presentation: Cairns, Australia
• [Presentation] Renormalization factor of four Fermi operators with clover fermion and Iwasaki gauge action (2011)
  • Author(s): Y.Taniguchi
  • Organizer: The XXXIX International Symposium on Lattice Field Theory
  • Place of Presentation: Village at Squaw Valley (USA)
  • Year and Date: 2011-07-14
• [Presentation] Non-perturbative renormalization with Schroedinger functional acheme (2010)
  • Author(s): Y.Taniguchi
  • Organizer: 国際シンポジューム「From Quarks to Supernovae」
  • Place of Presentation: 熱川ハイツ(静岡県) 招待講演
  • Year and Date: 2010-11-29
• [Presentation] Nf2+1QCDにおけるSchroedinger functional schemeを用いた非摂動論的な繰り込み (2010)
  • Author(s): 谷口裕介
  • Organizer: 日本物理学会
  • Place of Presentation: 九州工業大学戸畑キャンパス
  • Year and Date: 2010-09-12
• [Presentation] Non-perturbative renormalization of quark mass in Nf=2+1 QCD with the Schroedinger functional scheme (2010)
  • Author(s): Y.Taniguchi
  • Organizer: Lattice 2010
  • Place of Presentation: Villasimius, Sardinia, Italy
  • Year and Date: 2010-06-14