Hopping Parameter Expansion Technique in Noise Method for Disconnected Quark Loops

doi:10.1088/0256-307X/35/4/041101

Chin. Phys. Lett.

2018, Vol. 35

Issue (4): 041101 DOI: 10.1088/0256-307X/35/4/041101

THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Hopping Parameter Expansion Technique in Noise Method for Disconnected Quark Loops

Jia-Liang Zhou, Zhen Cheng, Guang-Yi Xiong, Jian-Bo Zhang^**

Department of Physics, Zhejiang University, Zhejiang 310027

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Jia-Liang Zhou, Zhen Cheng, Guang-Yi Xiong et al 2018 Chin. Phys. Lett. 35 041101

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Abstract We investigate the effectiveness of the hopping parameter expansion (HPE) combined with the $Z(2)$ noise method in the calculation of the trace of the inverse of Wilson's Dirac operator and some other disconnected contributions. A numerical comparison of the standard deviation for the $Z(2)$ noise method and HPE with the $Z(2)$ noise method is carried out. It is found that there are noise reductions in all the quantities we calculated using the HPE with the $Z(2)$ noise method. For the trace of the inverse of Wilson's Dirac operator, the HPE can reduce the statistical error by about 60%.

Received: 24 November 2017 Published: 13 March 2018

PACS:	11.15.Ha	(Lattice gauge theory)
	12.38.Gc	(Lattice QCD calculations)
	07.05.Tp	(Computer modeling and simulation)

Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11335001 and 11275169.

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https://cpl.iphy.ac.cn/10.1088/0256-307X/35/4/041101 OR https://cpl.iphy.ac.cn/Y2018/V35/I4/041101

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	Jia-Liang Zhou
	Zhen Cheng
	Guang-Yi Xiong
	Jian-Bo Zhang

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