2017 Fiscal Year Final Research Report
Determination of Low-Energy Constants of Lattice QCD+QED by Level-Statistical Method
| Project/Area Number |
25400259
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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 | Shimane University |
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Principal Investigator |
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| Research Collaborator |
KOVACS Tamas G.
YAMAMOTO Takuya
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| Project Period (FY) |
2013-04-01 – 2018-03-31
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| Keywords | 格子ゲージ理論 / QCD / 準位統計 / ランダム行列理論 / カイラル対称性 / 有限密度 / 有限温度 / アンダーソン局在 |
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| Outline of Final Research Achievements |
We have performed exhaustive numerical simulations (gauge field generation and diagonalization of Dirac operators) of two-color QCD+QED on a lattice, for a parameter space in the confining phase of the theory:
SU(2) gauge couping beta=0~2.1, U(1) gauge couping e=0.0002~0.0028, AB flux phi=0.01～0.06. Statistical distributions of individual Dirac levels obtained from these simulations are then shown to be perfectly fitted with the analytic formula derived from the crossover random matrix ensembles interpolating chGSE and chGUE. This fitting enabled us to determine the two Loe-energy constants (chiral condensate Sigma and pseudo-scalar decay constant F) with the precisions of 10^-4 and 10^3, respectively, for the whole parameter space mentioned above. This achievements might find applications in a version of the technicolor model based on the SU(2) gauge theory, namely for the determination of phenomenological parameters of the proposed composite Higgs particle.
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| Free Research Field |
場の量子論, 格子ゲージ理論, ランダム行列理論
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