Exact Ground State and String Tension in Massive Lattice Schwinger Model

Zheng Bo

Chinese Physics C> 1989, Vol. 13> Issue(S4) : 379-384

Exact Ground State and String Tension in Massive Lattice Schwinger Model

Zheng Bo

Department of Physics, Zhongshan University, Guangzhou

Abstract
HTML
Reference
Related

PDF

Abstract：
A new Hamiltonian in the massive lattice Schwinger model is proposed and the exajet ground state found. The string tension of the infinite string is exactly calculated in both the Naive and Susskind fermion schemes. The result shows that in both massless and massive lattice Schwinger models the string tension is equal to 1/2 e². This indicates that as in the massless Schwinger model, one can obtain the linear confinement potential in the massive Schwinger model and no deconfinement phase transition occurs when a approaches to 0. This result is in accord with that obtained in the continuum theory.

[1]	Rongyao Yang , Sina Wei , Weizhou Jiang . Ground-state properties of light kaonic nuclei signaling symmetry energy at high densities. Chinese Physics C, 2018, 42(2): 024102. doi: 10.1088/1674-1137/42/2/024102
[2]	J. B. Wei , H. Chen , H. -J. Schulze . Two-flavor hybrid stars with the Dyson-Schwinger quark model. Chinese Physics C, 2017, 41(11): 115101. doi: 10.1088/1674-1137/41/11/115101
[3]	Christopher E. Thomas (for the Hadron Spectrum collaboration) . Exotic and excited-state meson spectroscopy and radiative transitions from lattice QCD. Chinese Physics C, 2010, 34(9): 1512-1515. doi: 10.1088/1674-1137/34/9/087
[4]	Xing Yongzhong , Xu Gongou . On Ground-State Correlation in Nuclear Many-Body Systems. Chinese Physics C, 1997, 21(S4): 79-86.
[5]	Wen Wanxin , Jin Genming , Zhong Jiquan . Ground-State Properties of the Doubly-Magic Nucleus ¹⁰⁰Sn. Chinese Physics C, 1996, 20(S1): 101-106.
[6]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(S3): 265-272.
[7]	Ren Zhongzhou , Xu Gongou . Microscopic Studies on the Ground State Properties of the Nucleus ¹⁰⁰Sn. Chinese Physics C, 1995, 19(S4): 413-420.
[8]	Hu Zhanning . Three-Dimensional Exactly Solvable Model with Cubic Lattice. Chinese Physics C, 1994, 18(S3): 291-300.
[9]	Jiang Junqin , Xu Guocai , Chen Qizhou . The Calculation of M_v/m in the Lattice Schwinger Model with Massive Wilson Fermions. Chinese Physics C, 1994, 18(3): 222-228.
[10]	XU Guocai , JIANG Junqin , CHEN Qizhou . Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions. Chinese Physics C, 1993, 17(11): 1011-1015.
[11]	Mao Mingde , Guo Hua . Particle-Hole State Densitiy with Energy Constraints and Exact Pauli Exclusion Effect. Chinese Physics C, 1992, 16(S1): 107-116.
[12]	CHEN Qi-Zhou , ZHENG Wei-Hong , LUO Xiang-Qian , FANG Xi-Yan . Variational Study of <ψψ> in the Lattice Schwinger Model. Chinese Physics C, 1991, 15(1): 23-28.
[13]	Zheng Bo , Guo Shuohong . Exact Solution for a 1 + 1 Dimensional Lattice U (1) Gauge Model. Chinese Physics C, 1990, 14(S2): 163-167.
[14]	Gong Shangqing , Qu Lihu , Yu Shonmian . A Model of Four Dimensional Heterotic String. Chinese Physics C, 1989, 13(S2): 185-192.
[15]	ZHENG Bo , GUO Shuo-Hong . AN EXACT SOLUTION OF THE NAIVE SCHWINGER MODEL ON LATTICE. Chinese Physics C, 1989, 13(8): 696-700.
[16]	ZHENG Bo . EXACT CALCULATION OF STRING TENSIONS OF LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(9): 860-864.
[17]	ZHENG Bo . THE EXACT GROUND STATE OF THE LATTICE SCHWINGER MODEL. Chinese Physics C, 1989, 13(8): 760-764.
[18]	ZHENG Bo . THE EXACT GROUND STATE AND STRING TENSION OF MASSIVE LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(10): 956-960.
[19]	Zheng Bo . Exact Calculation of String Tension in Lattice Schwinger Model. Chinese Physics C, 1989, 13(S3): 253-258.
[20]	Zheng Bo . Exact Ground State of Lattice Schwinger Model. Chinese Physics C, 1989, 13(S3): 259-262.

Access

Get Citation

Zheng Bo. Exact Ground State and String Tension in Massive Lattice Schwinger Model[J]. Chinese Physics C, 1989, 13(S4): 379-384.

Zheng Bo. Exact Ground State and String Tension in Massive Lattice Schwinger Model[J]. Chinese Physics C, 1989, 13(S4): 379-384. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1989-04-28

Article Metric

Article Views(686)
PDF Downloads(6)
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

Exact Ground State and String Tension in Massive Lattice Schwinger Model

Zheng Bo

Department of Physics, Zhongshan University, Guangzhou

Received Date: 1989-04-28

Abstract: A new Hamiltonian in the massive lattice Schwinger model is proposed and the exajet ground state found. The string tension of the infinite string is exactly calculated in both the Naive and Susskind fermion schemes. The result shows that in both massless and massive lattice Schwinger models the string tension is equal to 1/2 e². This indicates that as in the massless Schwinger model, one can obtain the linear confinement potential in the massive Schwinger model and no deconfinement phase transition occurs when a approaches to 0. This result is in accord with that obtained in the continuum theory.