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arXiv 1204.3243hep-latcond-mat.stat-mechhep-th
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规范理论中的态密度

The density of states in gauge theories

Kurt Langfeld, Biagio Lucini, Antonio Rago

摘要:

用改进的Wang-Landau算法计算了SU(2)和紧致U(1)格点规范理论的态密度。我们发现SU(2)规范理论的态密度可以在120,000个数量级的范围内可靠地计算,晶格尺寸可以达到20 ^4。通过再现SU(2)平均作用量、比热和U(1)中弱一级跃迁的临界耦合,我们证明了该算法的潜力。

英文摘要:

The density of states is calculated for a SU(2) and a compact U(1) lattice gauge theory using a modified version of the Wang-Landau algorithm. We find that the density of states of the SU(2) gauge theory can be reliably calculated over a range of 120,000 orders of magnitude for lattice sizes as big as 20^4. We demonstrate the potential of the algorithm by reproducing the SU(2) average action, its specific heat and the critical couplings of the weak first order transition in U(1).

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