Exact Ground State and String Tension in Massive Lattice Schwinger Model

Zheng Bo

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《中国物理C》（英文）编辑部

2024年10月30日

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

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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.

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[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.

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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

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Received: 1989-04-28

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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.