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arXiv 1303.7129hep-lat
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在许多风味体系中达到手性极限

Reaching the chiral limit in many flavor systems

Anna Hasenfratz, Anqi Cheng, Gregory Petropoulos, David Schaich

摘要:

本文简要介绍了我们最近对SU(3)规范理论(N_f = 8,基本费米子数为12)的晶格研究,包括一些新的和尚未发表的结果。为了探索格点量子色动力学之外的相对陌生的系统,我们进行了各种各样的研究,目的是综合结果,以更好地理解这些系统的非微扰动力学。我们所有的研究结果是一致的共形红外动力学的12味系统,但与8味,我们观察到令人困惑的行为,需要进一步调查。我们的新的Monte Carlo重整化群技术利用威尔逊流获得更直接的预测的12味IR固定点。对N_f = 12体相和有限温度转变的研究也表明了IR保形性,而我们目前对8味相图的结果尚未提供自发手征对称性破缺的明确迹象。从Dirac本征值谱中提取了质量反常维数gamma_m,并预言在12味不动点处gamma*_m = 0.32(3). N_f = 8的系统再次表现出有趣的行为,在很宽的能量尺度范围内具有大的反常维数。我们使用本征值密度来预测手征凝聚体,并将这种方法与直接和部分猝灭测量进行比较。

英文摘要:

We present a brief overview of our recent lattice studies of SU(3) gauge theory with N_f = 8 and 12 fundamental fermions, including some new and yet-unpublished results. To explore relatively unfamiliar systems beyond lattice QCD, we carry out a wide variety of investigations with the goal of synthesizing the results to better understand the non-perturbative dynamics of these systems. All our findings are consistent with conformal infrared dynamics in the 12-flavor system, but with 8 flavors we observe puzzling behavior that requires further investigation. Our new Monte Carlo renormalization group technique exploits the Wilson flow to obtain more direct predictions of a 12-flavor IR fixed point. Studies of N_f = 12 bulk and finite-temperature transitions also indicate IR conformality, while our current results for the 8-flavor phase diagram do not yet provide clear signs of spontaneous chiral symmetry breaking. From the Dirac eigenvalue spectrum we extract the mass anomalous dimension gamma_m, and predict gamma*_m = 0.32(3) at the 12-flavor fixed point. The N_f = 8 system again shows interesting behavior, with a large anomalous dimension across a wide range of energy scales. We use the eigenvalue density to predict the chiral condensate, and compare this approach with direct and partially-quenched measurements.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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