2012 Fiscal Year Final Research Report
Search for the infrared fixed point of 4-dimensional gauge theory
| Project/Area Number |
22740173
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | High Energy Accelerator Research Organization (2011-2012)
Osaka University (2010) |
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Principal Investigator |
ITOU Etsuko 大学共同利用機関法人高エネルギー加速器研究機構, 素粒子原子核研究所, 特任助教 (50432464)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 非摂動論的くりこみ / 格子シミュレーション / 共形場の理論 |
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| Research Abstract |
We have studied the low energy behavior of 4-dimensional many flovor non-abelian gauge theory. We focus on the SU(3) gauge theory coupled to 12 massless fermions. We measured the nonperturbative running coupling constant using the lattice numerical simulation. According to the perturbative two loop analysis, the Nf=12 SU(3) gauge theory might have a conformal fixed point in the infrared region. However, the coupling constant at the fixed point is large in the perturbative analysis, so that some nonperturbative studies are needed. We measured one of nonrerturbative renormalization coupling constant and finally found that there is a nontrivial conformal fixed point in the SU(3) Nf=12 theory . The numerical simulation also derives the critical exponent around the fixed point.
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