The standard model on the lattice and a simulation method for the lattice models with complex actions
| Project/Area Number |
24540253
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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 | The University of Tokyo |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 格子ゲージ理論 / カイラルゲージ理論 / モンテカルロ法 / 符号問題 / Lefschetz thimble / complex Langevin 法 / Complex Langevin 法 / 有限密度 / モンテカルロシミュレーション |
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| Outline of Final Research Achievements |
We formulated a hybrid Monte Carlo algorithm which is applicable to lattice theories defined on Lefschetz thimbles. The algorithm was tested in the lambda phi^4 model at finite density, by choosing the thimbles associated with the classical vacua for subcritical and supercritical values of chemical potential. For the lattice size L=4, we find that the residual sign factors average to not less than 0.99 and are safely included by reweighting and that the results of the number density are consistent with those obtained by the complex Langevin simulations.
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Report
(4 results)
Research Products
(3 results)
