Investigating the topological structure of quenched lattice QCD with overlap fermions using a multi-probing approximation

You-Hao Zou; Jian-Bo Zhang; Guang-Yi Xiong; Ying Chen; Chuan Liu; Yu-Bin Liu; Jian-Ping Ma

doi:10.1088/1674-1137/41/10/103104

Chinese Physics C> 2017, Vol. 41> Issue(10) : 103104 DOI: 10.1088/1674-1137/41/10/103104

Investigating the topological structure of quenched lattice QCD with overlap fermions using a multi-probing approximation

You-Hao Zou ^1,, ,
Jian-Bo Zhang ^1,, ,
Guang-Yi Xiong ^1,, ,
Ying Chen ^2,3 ,
Chuan Liu ^4,5 ,
Yu-Bin Liu ⁶ ,
Jian-Ping Ma ⁷

1.
Department of Physics, Zhejiang University, Zhejiang 310027, China
2.
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
3.
Theoretical Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049, China
4.
School of Physics, Peking University, Beijing 100871, China
5.
Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
6.
School of Physics, Nankai University, Tianjin 300071, China
7.
Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The topological charge density and topological susceptibility are determined by a multi-probing approximation using overlap fermions in quenched SU(3) gauge theory. Then we investigate the topological structure of the quenched QCD vacuum, and compare it with results from the all-scale topological density. The results are consistent. Random permuted topological charge density is used to check whether these structures represent underlying ordered properties. The pseudoscalar glueball mass is extracted from the two-point correlation function of the topological charge density. We study 3 ensembles of different lattice spacing a with the same lattice volume 16³×32. The results are compatible with the results of all-scale topological charge density, and the topological structures revealed by multi-probing are much closer to all-scale topological charge density than those from eigenmode expansion.
- topological structure ,
- topological susceptibility ,
- multi-probing approximation ,
- topological clusters

References

[1]	E. Witten, Nuclear Physics B, 156(2):269-283(1979)
[2]	G. Veneziano, Nuclear Physics B, 159(1):213-224(1979)
[3]	G. Veneziano, Physics Letters B, 95(1):90-92(1980)
[4]	Erhard Seiler, Physics Letters B, 525(3-4):355-359(2002)
[5]	P. Di Vecchia, K. Fabricius, G. C. Rossi, and G. Veneziano, Physics Letters B, 108(4):323-326(1982)
[6]	Adriano Di Giacomo and Ettore Vicari, Physics Letters B, 275(3):429-434(1992)
[7]	Gino Briganti, Adriano Di Giacomo, and Haralambos Panagopoulos, Physics Letters B, 253(3):427-429(1991)
[8]	A. Di Giacomo, E. Meggiolaro, and H. Panagopoulos. Physics Letters B, 291(1):147-150(1992)
[9]	P. Hasenfratz, V. Laliena, and F. Niedermayer. Physics Letters B, 427:125-131(1998)
[10]	Herbert Neuberger, Physics Letters B, 417(1-2):141-144(1998)
[11]	Herbert Neuberger, Physics Letters B, 427(3-4):353-355(1998)
[12]	Pilar Hernndez, Karl Jansen, and Martin L scher, Nuclear Physics B, 552(1):363-378(1999)
[13]	E.-M. Ilgenfritz, K. Koller, Y. Koma, G. Schierholz, T. Streuer, and V. Weinberg, Phys. Rev. D, 76:034506(2007)
[14]	I. Horvth, S. J. Dong, T. Draper, F. X. Lee, K. F. Liu, H. B. Thacker, and J. B. Zhang, Phys. Rev. D, 67:011501(2003)
[15]	I. Horvth, S. J. Dong, T. Draper, F. X. Lee, K. F. Liu, N. Mathur, H. B. Thacker, and J. B. Zhang, Phys. Rev. D, 68:114505(2003)
[16]	Guang-Yi Xiong, You-Hao Zou, and Jian-Bo Zhang, In preparation
[17]	Pilar Hernndez, Karl Jansen, and Martin L scher, Nuclear Physics B, 552(1):363-378(1999)
[18]	Steven Weinberg, Phys. Rev. D, 11:3583-3593(1975)
[19]	Edward Witten, Nuclear Physics B, 149(2):285-320(1979)
[20]	A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Yu. S. Tyupkin, Physics Letters B, 59(1):85-87(1975)
[21]	A. M. Polyakov, Nuclear Physics B, 120(3):429-458(1977)
[22]	E.-M. Ilgenfritz, M. L. laursen, M. M ller-Preussker, G. Schierholz, and H. Schiller, Nuclear Physics B, 268(3):693-705(1986)
[23]	M. Teper, Physics Letters B, 171(1):86-94(1986)
[24]	Douglas A. Smith and Michael J. Teper. Phys. Rev. D, 58:014505(1998)
[25]	Margarita Gara Prez, Owe Philipsen, and Ion-Olimpiu Stamatescu, Nuclear Physics B, 551(1):293-313(1999)
[26]	Thomas DeGrand, Anna Hasenfratz, and Decai Zhu, Nuclear Physics B, 475(1):321-336(1996)
[27]	Thomas DeGrand, Anna Hasenfratz, and Decai Zhu, Nuclear Physics B, 478(1):349-364(1996)
[28]	M. Feurstein, E.-M. Ilgenfritz, M. M ller-Preussker, and S. Thurner, Nuclear Physics B, 511(1):421-447(1998)
[29]	Thomas DeGrand, Anna Hasenfratz, and Tams G. Kovcs, Nuclear Physics B, 505(1):417-441(1997)
[30]	Thomas DeGrand, Anna Hasenfratz, and Tams G. Kovcs, Nuclear Physics B, 520(1):301-322(1998)
[31]	Martin L scher, Journal of High Energy Physics, 2010(8):1-18(2010)
[32]	Szabolcs Bors nyi, Stephan D rr, Zolt n Fodor, Christian Hoelbling, S ndor D. Katz, Stefan Krieg, Thorsten Kurth, Laurent Lellouch, Thomas Lippert, Craig McNeile, and K lm n K. Szab , Journal of High Energy Physics, 2012(9):1-15(2012)
[33]	R. Sommer, Scale setting in lattice QCD, ArXiv e-prints, January 2014
[34]	Luigi Del Debbio, Leonardo Giusti, and Claudio Pica, Phys. Rev. Lett., 94:032003(2005)
[35]	K Osterwalder and E Seiler, Annals of Physics, 110(2):440-471(1978)
[36]	Konrad Osterwalder and Robert Schrader, Communications in Mathematical Physics, 31(2):83-112(1973)
[37]	Konrad Osterwalder and Robert Schrader, Communications in Mathematical Physics, 42(3):281-305(1975)
[38]	E. V. Shuryak and J. J. M. Verbaarschot, Phys. Rev. D, 52:295-306(1995)
[39]	C. Michael, Phys. Rev. D, 49:2616-2619(1994)
[40]	Y. Chen, A. Alexandru, S. J. Dong, T. Draper, I. Horvth, F. X. Lee, K. F. Liu, N. Mathur, C. Morningstar, M. Peardon, S. Tamhankar, B. L. Young, and J. B. Zhang, Phys. Rev. D, 73:014516(2006)

[1]	Fang Liu , Yun-Zhi Du , Ren Zhao , Huai-Fan Li . Phase equilibrium and microstructure of topological AdS black holes in massive gravity. Chinese Physics C, 2022, 46(8): 085102. doi: 10.1088/1674-1137/ac67ce
[2]	Zhen Cheng , Jian-bo Zhang . Dependence of overlap topological charge density on Wilson mass parameter. Chinese Physics C, 2021, 45(7): 073103. doi: 10.1088/1674-1137/abf827
[3]	Guang-Yi Xiong , Jian-Bo Zhang , You-Hao Zou . Evaluating the topological charge density with the symmetric multi-probing method. Chinese Physics C, 2019, 43(3): 033102. doi: 10.1088/1674-1137/43/3/033102
[4]	Hua-Yu Jiang , Fu-Sheng Yu , Qin Qin , Hsiang-nan Li , Cai-Dian Lü . D⁰-D⁰ mixing parameter y in the factorization-assisted topological-amplitude approach. Chinese Physics C, 2018, 42(6): 063101. doi: 10.1088/1674-1137/42/6/063101
[5]	Xiao-Gang He , Wei Wang . Flavor SU(3) topological diagram and irreducible representation amplitudes for heavy meson charmless hadronic decays: mismatch and equivalence. Chinese Physics C, 2018, 42(10): 103108. doi: 10.1088/1674-1137/42/10/103108
[6]	SUN Yi-Qian , LÜ Pin , BAO Ai-Dong . Topological index associated with transverse axial vector and vector anomalies in QED. Chinese Physics C, 2015, 39(4): 043101. doi: 10.1088/1674-1137/39/4/043101
[7]	YE Yan-Lin , LÜ Lin-Hui , CAO Zhong-Xin , XIAO Jun . Probing the halo and cluster structure of exotic nuclei. Chinese Physics C, 2012, 36(2): 127-131. doi: 10.1088/1674-1137/36/2/004
[8]	LIU Zi-Yu , XIANG Qian-Lan , ZHANG Xiao-An , XIAO Guo-Qing . Topological structure of the solitons solution in SU(3) Dunne-Jackiw-Pi-Trugenberger model. Chinese Physics C, 2010, 34(3): 330-333. doi: 10.1088/1674-1137/34/3/005
[9]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[10]	ZHOU Li-Juan , HU Zhao-Hui , MA Wei-Xing . Nucleon Electromagnetic Form Factors in Non-Topological Soliton Model. Chinese Physics C, 2003, 27(2): 127-129.
[11]	Deng Shenghua , Wang Enke , Li Jiarong . Two-Loop Effective Potential of Non-topological Soliton Bag Model at Finite Temperature. Chinese Physics C, 1995, 19(8): 713-726.
[12]	Gao Xiaochun , Xu Donghui . Removability of the Topological Term in the 2+1 Dimensional CP¹ Model. Chinese Physics C, 1995, 19(S3): 257-264.
[13]	Deng Shenghua , Wang Enke , Li Jiarong . Two-Loop Effective Potential of the Non-topological Soliton Model at Finite Temperature. Chinese Physics C, 1995, 19(S3): 289-304.
[14]	Gao Xiaochun , Qian Tiezheng . The Removability of the Topological Term in the CP¹ model and ϑ-Vacuum. Chinese Physics C, 1993, 17(S4): 355-360.
[15]	Sun Changpu , Pang Lin , Ge Molin . Effective Topological Action in Heisenberg Spin Model as Berry's Phase. Chinese Physics C, 1992, 16(S1): 51-56.
[16]	GAO Xiao-Chun , XU Jing-Bo , YAN Ji-Jin , LI Wen-Zhu . Removability of the Topological Term in the O(3) Nonlinear σ-model. Chinese Physics C, 1991, 15(7): 591-597.
[17]	GAO Xiao-Chun , XU Jing-Bo , QIAN Tie-Zheng , CHEN Cheng-Ming . THE MECHANICAL BERRY PHASE AND CORRESPONDING CLASSICAL TOPOLOGICAL PHASE ANGLE. Chinese Physics C, 1990, 14(8): 704-710.
[18]	Sun Changpu . Topological Action Related to Berry's Phase and its Non-adiabatic Effects. Chinese Physics C, 1990, 14(S3): 265-273.
[19]	GAO Xiao-Chun , WANG Yong , XU Jing-Bo , LI Wen-Zhu . THE STUDY OF TOPOLOGICAL TERMS OF THE NONLINEAR SIGMA MODEL. Chinese Physics C, 1989, 13(6): 526-529.
[20]	GUO SHUO-HONG , CHEN QI-ZHOU , GUAN HONG . ON THE SU(3) INSTANTONS WITH TOPOLOGICAL CHARGE 4. Chinese Physics C, 1981, 5(6): 682-686.

Access

Get Citation

You-Hao Zou, Jian-Bo Zhang, Guang-Yi Xiong, Ying Chen, Chuan Liu, Yu-Bin Liu and Jian-Ping Ma. Investigating the topological structure of quenched lattice QCD with overlap fermions using a multi-probing approximation[J]. Chinese Physics C, 2017, 41(10): 103104. doi: 10.1088/1674-1137/41/10/103104

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-05-12
Revised: 2017-07-14

Fund

Supported by National Natural Science Foundation of China (NSFC) (11335001, 11275169, 11075167), It is also supported in part by the DFG and the NSFC (11261130311) through funds provided to the Sino-German CRC 110 Symmetries and the Emergence of Structure in QCD. This work was also funded in part by National Basic Research Program of China (973 Program) (2015CB856700)

Article Metric

Article Views(1750)
PDF Downloads(7)
Cited by(0)

Policy on re-use

To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Investigating the topological structure of quenched lattice QCD with overlap fermions using a multi-probing approximation

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Investigating the topological structure of quenched lattice QCD with overlap fermions using a multi-probing approximation

Corresponding author: You-Hao Zou,

Corresponding author: Jian-Bo Zhang,

Corresponding author: Guang-Yi Xiong,

HTML

目录