Study of SU(N) gauge theory in the large N limit with fermions in the adjoint representation

• Project/Area Number: 26400249
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Hiroshima University
• Principal Investigator: Okawa Masanori 広島大学, 理学研究科, 教授 (00168874)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000); Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
• Keywords: 素粒子理論

Outline of Final Research Achievements

The space-time reduced model with 2 flavor adjoint fermions are supposed to be a conformal theory having an infrared-fixed point at zero quark mass. The nature of the fixed point is governed by the mass anomalous dimension. We investigate the value of the mass anomalous dimension from the eigenvalue distribution of the fermion matrix.
Although one of the most fundamental and important task of lattice gauge theories is the calculation of hadron masses, it was not possible to calculate hadronic correlation function in space-time reduced models. This problem has been solved by considering first the meson correlators in the momentum space and then obtaining the space-time extended real-space correlators from the Fourier transform of the momentum-space correlators.

Research Products

• [Int'l Joint Research] マドリッド自治大学(スペイン)
• [Journal Article] Large N meson masses from a matrix model (2016)
  • Author(s): A. Gonzalez-Arroyo, M. Okawa
  • Journal Title: Phys. Lett. B Volume: 755 Pages: 132-132
  • DOI: 10.1016/j.physletb.2016.02.001
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Mass anomalous dimension of Adjoint QCD at large N from twisted volume reduction (2015)
  • Author(s): M. Garcia-Perez, A. Gonzalez-Arroyo, L. Keegan, M. Okawa
  • Journal Title: JHEP Volume: 1508 Issue: 8 Pages: 034-034
  • DOI: 10.1007/jhep08(2015)034
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] A comparison of updating algorithms for large N reduced models (2015)
  • Author(s): M. Garcia-Perez, A. Gonzalez-Arroyo, L. Keegan, M. Okawa, A. Ramos
  • Journal Title: JHEP Volume: 1506 Issue: 6 Pages: 193-193
  • DOI: 10.1007/jhep06(2015)193
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Volume independence for Yang-Mills fields on the twisted torus (2014)
  • Author(s): M. Garcia Perez, A. Gonzalez-Arroyo and M. Okawa
  • Journal Title: International Journal of Modern Physics A Volume: 29 Issue: 25 Pages: 14450011-29
  • DOI: 10.1142/s0217751x14450018
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Testing volume independence of SU(N) pure gauge theories at large N (2014)
  • Author(s): A. Gonzalez-Arroyo and M. Okawa
  • Journal Title: JHEP Volume: 1412 Issue: 12 Pages: 1060-32
  • DOI: 10.1007/jhep12(2014)106
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] The SU(∞) twisted gradient flow running coupling (2014)
  • Author(s): M. Garcia-Perez, A. Gonzalez-Arroyo, L. Keegan and M. Okawa
  • Journal Title: JHEP Volume: 1501 Issue: 1 Pages: 0380-22
  • DOI: 10.1007/jhep01(2015)038
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Presentation] Meson masses and decay constants at large N (2016)
  • Author(s): M. Okawa
  • Organizer: 34th International Symposium on Lattice Field Theory (Lattice 2016)
  • Place of Presentation: University of Southampton, UK
  • Year and Date: 2016-07-24
  • Int'l Joint Research
• [Presentation] `t Hooft model on the Lattice (2016)
  • Author(s): A. Gonzalez-Arroyo
  • Organizer: 34th International Symposium on Lattice Field Theory (Lattice 2016)
  • Place of Presentation: University of Southampton, UK
  • Year and Date: 2016-07-24
  • Int'l Joint Research
• [Presentation] Volume reduction through perturbative Wilson loops (2016)
  • Author(s): M. Garcia Perez
  • Organizer: 34th International Symposium on Lattice Field Theory (Lattice 2016)
  • Place of Presentation: University of Southampton, UK
  • Year and Date: 2016-07-24
  • Int'l Joint Research
• [Presentation] Numerical determination of the Λ-parameter in SU(3) gauge theory from the twisted gradient flow coupling (2016)
  • Author(s): R. Ueno
  • Organizer: 34th International Symposium on Lattice Field Theory (Lattice 2016)
  • Place of Presentation: University of Southampton, UK
  • Year and Date: 2016-07-24
  • Int'l Joint Research
• [Presentation] Large N meson propagators from twisted space-time reduced model (2015)
  • Author(s): M. Okawa
  • Organizer: 33rd International Symposium on Lattice Field Theory (Lattice 2015)
  • Place of Presentation: Kobe International Conference Center, Kobe
  • Year and Date: 2015-07-14
  • Int'l Joint Research
• [Presentation] Creutz Ratio in the Continuum Limit (2014)
  • Author(s): M. Okawa
  • Organizer: HET-RBRC Symposium, CreutzFest 2014
  • Place of Presentation: Brookhaven National Laboratory, New York (USA)
  • Year and Date: 2014-09-04 – 2014-09-05
  • Invited
• [Presentation] String tension from smearing and Wilson flow methods (2014)
  • Author(s): M. Okawa
  • Organizer: 32nd International Symposium on Lattice Field Theory (Lattice 2014)
  • Place of Presentation: Columbia University, New York (USA)
  • Year and Date: 2014-06-23 – 2014-06-28
• [Presentation] Glueball masses in 2+1 dimensional SU(N) gauge theories with twisted boundary conditions (2014)
  • Author(s): M. Koren
  • Organizer: 32nd International Symposium on Lattice Field Theory (Lattice 2014)
  • Place of Presentation: Columbia University, New York (USA)
  • Year and Date: 2014-06-23 – 2014-06-28
• [Presentation] TEK twisted gradient flow running coupling (2014)
  • Author(s): L. Keegan
  • Organizer: 32nd International Symposium on Lattice Field Theory (Lattice 2014)
  • Place of Presentation: Columbia University, New York (USA)
  • Year and Date: 2014-06-23 – 2014-06-28
• [Presentation] Testing volume independence of large N gauge theories on the lattice (2014)
  • Author(s): A. Gonzalez-Arroyo
  • Organizer: 32nd International Symposium on Lattice Field Theory (Lattice 2014)
  • Place of Presentation: Columbia University, New York (USA)
  • Year and Date: 2014-06-23 – 2014-06-28