MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL <EM>SU</EM>(5) LATTICE GAUGE THEORY

LI Wen-Zhu; DONG Shao-Jing

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2024年10月30日

Chinese Physics C> 1985, Vol. 9> Issue(1) : 34-40

MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL SU(5) LATTICE GAUGE THEORY

LI Wen-Zhu ^, ,
DONG Shao-Jing

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Abstract：
The feature of Manton's lattice action in the SU(5) four-dimensional lattice gauge theory is investigated by means of Monte Carlo simulation. A rather smooth curve of the internal energy is obtained, no discontinuity in the average action perplaquette is found in opposition to the resultes of usually adopted Wilson's action. An evidence of a higher order phase transition with Manton's action is also found.

References

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K. G. Wilson, Phys. Rev., D10(1974), 2445.[2] J. Villian, J. de Phys., 36( 1975), 581.[3] J. B. Kogut, Rev. Mod. Phys., 51(1979), 659.[4] B. Laump, M. Nauenberg, Phys. Rev. Lett., 45(1980), 1775.[5] R. C. Edgar, L. Mc Crossen, K. J. M. Moriarty, J. Phys., G7 (1981), L85.[6] M. Creutz, Phys. Rev. Lett., 46 (1981), 1441.[7] H. Bohr, K. J. M. Moriarty, Phys. Lett., 104B(1981), 217.[8] N. S. Manton, Phys. Lett., 96B(1980), 328.[9] C. B. Lang, C. Rebbi, P. Salomonson, B. S. Skagerstam, Phys. Lett., 101B (1981), 173.[10] M. Okawa, Phys. Rev. Lett., 49(1982), 353.[11] N. Cabibbo, E. Marinati, Phys. Lett., 119B (1982), 387.[12] N. Metropolis, et. al., J. Chem. Phys., 21(1953), 1087.[13] C. Rebbi, Phys. Rep., 67 (1980), 55.[14] C. Rebbi, Phys. Rev., D21 (1980), 3350.[15] M. Creutz, Phys. Rev. Lett., 43(1979), 553.[16] C. B. Lang et al., Nucl. Phys., B190 F. S (1981), 337.[17] C. B. Lang et. al., Phys. Rev., D26 (1982), 2028.[18] B. Grossman, S. Samuel, Phys. Lett., 120B (1983), 383.[19] V. N. Faddeeva, "Computational Methods of Linear Algebra" Dover Publications, New York(1959).[20] J. M. Hammersley, D. C. Handscomb, "Monte Carlo Methods" Methuen and CO. London (1964).

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LI Wen-Zhu and DONG Shao-Jing. MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL SU(5) LATTICE GAUGE THEORY[J]. Chinese Physics C, 1985, 9(1): 34-40.

LI Wen-Zhu and DONG Shao-Jing. MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL SU(5) LATTICE GAUGE THEORY[J]. Chinese Physics C, 1985, 9(1): 34-40. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL SU(5) LATTICE GAUGE THEORY

LI Wen-Zhu ^,
DONG Shao-Jing

Corresponding author: LI Wen-Zhu,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-02-05

Abstract: The feature of Manton's lattice action in the SU(5) four-dimensional lattice gauge theory is investigated by means of Monte Carlo simulation. A rather smooth curve of the internal energy is obtained, no discontinuity in the average action perplaquette is found in opposition to the resultes of usually adopted Wilson's action. An evidence of a higher order phase transition with Manton's action is also found.