QUARK MASS RENORMALIZATION IN LATTICE GAUGE THEORY (Ⅰ) STRONG COUPLING REGION AND CROSSOVER REGION

GUO Shuo-Hong; LIU Jin-Ming; CHEN Qi-Zhou

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2024年10月30日

Chinese Physics C> 1984, Vol. 8> Issue(2) : 167-176

QUARK MASS RENORMALIZATION IN LATTICE GAUGE THEORY (Ⅰ) STRONG COUPLING REGION AND CROSSOVER REGION

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Abstract：
The light quark mass m(g) is renormalized by fixing the ρ meson mass. m(g) for g≥2 is obtained by strong coupling expansion. Variatonal calculation extends m(g) to g~1, which is already in the crossover region. The two methods agree in the strong coupling region. In the crossover gegion, m(g) drops quickly towards the weak coupling value.

References

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K. Wilson, Phys. Rev., D10(1974), 2445;R. Balian, J. M. Drouffe, C. Itzykson, Phys. Rev., D10(1974), 3374;ibid., D11(1975), 2098. 2104.[2] H. Hamber, G. Parisi, Phys. Rev. Lett., 47(1961), 1792.E. Marinari, G. Parisi, C. Rebbi, Phys. Rev. Lett., 47(1981), 1975.H. Hamber, E. Marinari, G. Parisi, C. Rebbi, Brookhaven preprint (1981).[3] T. Banks. S. Raby, L. Susskind, J. Kogut, D. Jones, P. Scharbach, D. Sinclair, Phys. Rev., Dl5(1977), 1111; D. Jones, J. Kogut, D. Sinclair, Z. Phys., C3(1979), 29.[4] L. Susskind, Phys. Rev., D16(1977), 3031.[5] J. Shigemitsu, Phys. Rev., D18(1978), 1709. [6] K. Wilson, Erice lecture notes (1975).[7] J. Greensite, J. Primack, Nucl. Phys., B180(1981). 170;J. Blairon, R. Brout, F. Englert, J. Greensite, Nucl. Phys., B180(1981), 439.[8] I C. Becchi, S. Narison, E. de Rafael, F. Yudurain. J. Phys., C8(1981), 335.[9] A. Hasenfratz, Z. Kunszt, P. Hasenfratz, C. B. Lang, CERX preprint TH. 3220 (1982).[10] J. Kogut, L. Susskind, Phys. Rev., D11(1975), 395.[11] J. Kogut, R. Pearson, J. Shigemitsu, Phys. Rev. Lett., 43(1979), 484; Phys. Lett., 98B(1981), 63.[12] J. Kogut, D. Sinclair, L. Susskind, Nucl. Phys., B114(1976), 199.[13] B. Sakita, preprint CChT-HEP-8115.[14] Zheng Xi-te, Chung-I Tan, Chen Tian-lun, Brown Univ. preprint, HET-470.[15] L. Masperi, C. Omero, Nucl. Phys., B200(1982), 121;T. Banks, A. Zaks, Nucl. Phys., B200(1982). 391.

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GUO Shuo-Hong, LIU Jin-Ming and CHEN Qi-Zhou. QUARK MASS RENORMALIZATION IN LATTICE GAUGE THEORY (Ⅰ) STRONG COUPLING REGION AND CROSSOVER REGION[J]. Chinese Physics C, 1984, 8(2): 167-176.

GUO Shuo-Hong, LIU Jin-Ming and CHEN Qi-Zhou. QUARK MASS RENORMALIZATION IN LATTICE GAUGE THEORY (Ⅰ) STRONG COUPLING REGION AND CROSSOVER REGION[J]. Chinese Physics C, 1984, 8(2): 167-176. 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

QUARK MASS RENORMALIZATION IN LATTICE GAUGE THEORY (Ⅰ) STRONG COUPLING REGION AND CROSSOVER REGION

Corresponding author: GUO Shuo-Hong,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-04-05

Abstract: The light quark mass m(g) is renormalized by fixing the ρ meson mass. m(g) for g≥2 is obtained by strong coupling expansion. Variatonal calculation extends m(g) to g~1, which is already in the crossover region. The two methods agree in the strong coupling region. In the crossover gegion, m(g) drops quickly towards the weak coupling value.