2013 Fiscal Year Final Research Report
Study of twisted space-time reduced model in the large N limit
| Project/Area Number |
23540310
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Hiroshima University |
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Principal Investigator |
OKAWA Masanori 広島大学, 理学(系)研究科(研究院), 教授 (00168874)
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| Project Period (FY) |
2011 – 2013
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| Keywords | 素粒子理論 |
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| Research Abstract |
In the large N limit of the SU(N) lattice gauge theory, there is a possibility that the space-time degrees of freedom are absorbed into the SU(N) internal degrees of freedom. In this work, I study the space-time reduced model defined on a one to the forth lattice with twisted boundary condition.
1) The precise calculation of the string tension is made using the space-time reduced model. String tension is also calculated in the usual SU(N) lattice gauge theory and results are extrapolated to large N. The extrapolated value perfectly coincides with that obtained directly by space-time reduced model, thus demonstrating the correctness of the reduced model.
2) The space-time reduced model having two adjoint fermions is shown to have properties which are characteristic to the conformal theory governed by an infrared fixed point. I also show that the theory having a single adjoint fermion has the properties which support that this theory is a confining theory.
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