2016 Fiscal Year Final Research Report
Study of SU(N) gauge theory in the large N limit with fermions in the adjoint representation
| Project/Area Number |
26400249
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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 |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | 素粒子理論 |
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| 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.
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| Free Research Field |
数物系科学
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