arXiv 1312.04882013-12-03hep-lat

最小加倍费米子的数值研究

Numerical studies of Minimally Doubled Fermions

Johannes Heinrich Weber, Stefano Capitani, Hartmut Wittig

备注：: 7 pages, 5 figures, talk presented at the 31st International Symposium on Lattice Field Theory, July 29 - August 3, 2013, Mainz, Germany

摘要：

我们已经进行了第一次数值研究的最小加倍费米子的Karsten-Wilczek类在淬火近似。这需要修正反项，反项是由Karsten-Wilczek项引起的超立方对称破缺引起的。在详细研究了介子观测量的参数依赖性后，给出了非微扰重整化准则。赝标量基态的质量各向异性的最小化固定了反项系数的非微扰重整化条件。这些各向异性映射出探测不同的欧几里德分量的传输矩阵，通过计算的赝标基态质量在不同的方向。利用调谐Karsten-Wilczek作用量研究了多重晶格间距下赝标基态的手征行为。轻赝标质量（$ M_{PS} \lesssim 250\,MeV $）实现淬火近似，而不会遇到特殊的配置。在Goldstone玻色子类行为的假设下，研究了猝灭手征的存在。

英文摘要：

We have performed the first numerical study of minimally doubled fermions of the Karsten-Wilczek class in the quenched approximation. This requires fixing the counterterms, which arise due to hypercubic symmetry breaking induced by the Karsten-Wilczek term. Non-perturbative renormalisation criteria are formulated after a detailed study of the parameter dependence of mesonic observables. Minimisation of the mass anisotropy of the pseudoscalar ground state fixes non-perturbative renormalisation conditions for the counterterm coefficients. These anisotropies are mapped out by probing different euclidean components of the transfer matrix through calculations of the pseudoscalar ground state mass in different directions. The chiral behaviour of the pseudoscalar ground state is studied with the tuned Karsten-Wilczek action for multiple lattice spacings. Light pseudoscalar masses ($ M_{PS} \lesssim 250\,MeV $) were achieved in the quenched approximation without encountering exceptional configurations. The presence of quenched chiral logarithms is studied under the tentative assumption of Goldstone Boson-like behaviour.

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