Phase Structure of <i>U</i>(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action

Zhao Peiying; Wu Jimin

Chinese Physics C> 1996, Vol. 20> Issue(S1) : 47-54

Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action

Zhao Peiying ,
Wu Jimin

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The plaquette internal energy E_p of U(1) lattice gauge theory (LGT) in three dimensions is calculated using the variational cumulant expansion (VCE) with the independent plaquette effective action. The E_p-β curve is continuous, which shows that the U(l) theory is confined. Our result is consistent with Monte Carlo (MC) data.
- lattice gauge theory ,
- variational cumulant expansion ,
- internal energy ,
- independent plaquette effective action

[1]	Y. P. Wang , Y. K. Wang , P. W. Zhao . Tilted-axis-cranking covariant density functional theory for the high-spin spectroscopy in ⁶⁹Ga. Chinese Physics C, 2026, 50(2): 1-5. doi: 10.1088/1674-1137/ae07b8
[2]	. ³H and ³He nuclei production in a combined thermal and coalescence framework for heavy-ion collisions in the few-GeV energy regime. Chinese Physics C, 2026, 50(1): 014104. doi: 10.1088/1674-1137/ae099a
[3]	Víctor Miguel Banda Guzmán , Rubén Flores-Mendieta , Johann Hernández . Use of SU(3) flavor projection operators to construct baryon-meson scattering amplitudes in the 1/N_c expansion. Chinese Physics C, 2026, 50(2): 1-25.
[4]	Lu Feng , Tao Han , Jing-Fei Zhang , Xin Zhang . Prospects for searching for sterile neutrinos in dynamical dark energy cosmologies using joint observations of gravitational waves and γ-ray bursts. Chinese Physics C, 2026, 50(1): 1-12. doi: 10.1088/1674-1137/ae0b43
[5]	Jialin He , Xinye Peng , Zhongbao Yin , Liang Zheng . Extracting the kinetic freeze-out properties of high energy pp collisions at the LHC with event shape classifiers. Chinese Physics C, 2026, 50(2): 1-16.
[6]	. Soft pattern of gravitational Rutherford scattering from heavy target mass expansion. Chinese Physics C, 2026, 50(1): 013102. doi: 10.1088/1674-1137/ad62d6
[7]	Wang-Fa Li , Junmou Chen , Qian-Jiu Wang , Zhao-Huan Yu . A Numerical Study on Gauge Symmetry of Electroweak Amplitudes. Chinese Physics C, 2026, 50(2): 1-16.
[8]	Hua Chen . Globally Stable Dark Energy in F(R) Gravity. Chinese Physics C, 2026, 50(2): 1-15.
[9]	Xufen Zhang , De-Cheng Zou , Chao-Ming Zhang , Ming Zhang , Rui-Hong Yue . Perturbations of massless external fields on magnetically charged black holes in string-inspired Euler-Heisenberg theory. Chinese Physics C, 2025, 49(10): 105109. doi: 10.1088/1674-1137/ade661
[10]	Ronghao Hu , Qike Gu , Kejian Shi , Zezhong Wei , Meng Lv , Shiyang Zou , Yongkun Ding . Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C, 2025, 49(12): 124102. doi: 10.1088/1674-1137/adec4f
[11]	Fan Yang , Xiangyun Fu , Bing Xu , Kaituo Zhang , Yang Huang , Ying Yang . Testing the cosmic distance duality relation using Type Ia supernovae and radio quasars through model-independent methods. Chinese Physics C, 2025, 49(10): 105108. doi: 10.1088/1674-1137/ade4a3
[12]	Rui-Bo Wang , Lei You , Shi-Jie Ma , Jian-Bo Deng , Xian-Ru Hu . Thermodynamic phase transition and Joule-Thomson expansion of a quantum corrected black hole in AdS spacetime. Chinese Physics C, 2025, 49(11): 115102. doi: 10.1088/1674-1137/ade4a9
[13]	Liuxin Zhao , Honglei Li , Zhi-Long Han , Fei Huang , Xinyi Yan . Extra charged gauge boson W′ in Alternative Left-Right Model at future muon collider. Chinese Physics C, 2025, 49(12): 123102. doi: 10.1088/1674-1137/adec51
[14]	Hanmei Cao , Fanglei Zou , Xiaojun Sun , Jingshang Zhang . Effects of energy levels on the double-differential cross sections of outgoing charged particles for the n+¹⁹F reaction below 20 MeV. Chinese Physics C, 2025, 49(12): 124107. doi: 10.1088/1674-1137/adf49f
[15]	Hao-Qiao Li , Hai-Ning Yan , Jiayin Gu , Xiao-Ze Tan . Probing Z/W pole physics at high-energy muon colliders via vector-boson-fusion processes. Chinese Physics C, 2025, 49(10): 103102. doi: 10.1088/1674-1137/addfcd
[16]	Zhuoyi Pang , Jian-Hui Zhang , Dian-Jun Zhao . Moments from momentum derivatives in lattice QCD. Chinese Physics C, 2025, 49(10): 101001. doi: 10.1088/1674-1137/aded04
[17]	HUANG Jiang , XIONG Yong-Qian , CHEN De-Zhi , LIU Kai-Feng , YANG Jun , LI Dong , YU Tiao-Qin , FAN Ming-Wu , YANG Bo . A permanent magnet electron beam spread system used fora low energy electron irradiation accelerator. Chinese Physics C, 2014, 38(10): 107008. doi: 10.1088/1674-1137/38/10/107008
[18]	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
[19]	Xu Jianming . Matching Problem of Lattice with Transverse Coupling. Chinese Physics C, 1995, 19(1): 73-81.
[20]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.

Access

Get Citation

Zhao Peiying and Wu Jimin. Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action[J]. Chinese Physics C, 1996, 20(S1): 47-54.

Zhao Peiying and Wu Jimin. Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action[J]. Chinese Physics C, 1996, 20(S1): 47-54. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1995-03-10

Fund

Supported by the National Natural Science Foundation of China and the Science Foundation of the Chinese Academy of Sciences.

Article Metric

Article Views(1056)
PDF Downloads(3)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

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

Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action

Zhao Peiying
Wu Jimin

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing, China

Received Date: 1995-03-10

Fund Project: Supported by the National Natural Science Foundation of China and the Science Foundation of the Chinese Academy of Sciences.

Abstract: The plaquette internal energy E_p of U(1) lattice gauge theory (LGT) in three dimensions is calculated using the variational cumulant expansion (VCE) with the independent plaquette effective action. The E_p-β curve is continuous, which shows that the U(l) theory is confined. Our result is consistent with Monte Carlo (MC) data.