Dynamical equations and a new analytical approach in lattice gauge theories

Xue, She‐Sheng; Hsien, Ting-chang; Wu, Chi-min

doi:10.1016/0370-2693(86)90867-1

Cited by 28 publications

(5 citation statements)

References 18 publications

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“…= 1.125 for nj = 2 and k = 0.125 is presented with n labelled. Ep n = Ep n (0) for the pure gauge theory are presented by solid lines, and Ep n = Ep n (k 4 ), Ep n (k 6 ) for the theory with fermions to fc 4 , k 6 are presented by dashed lines. For fixed nj = 2, Ep n (k 4 ) and Ep n (k 6 ) are hardly distinguishable on the scale presented here.…”

Section: Criterion For Determining J and Calculation Of Epmentioning

confidence: 99%

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SU(2) Gauge System with Dynamical Fermions in Cumulant Expansion Treatment

Zheng¹,

Chen²

1993

Commun. Theor. Phys.

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The SU(2) lattice gauge system with dynamical Wilson fermions is investigated by the variational cumulant expansion method with the novel criterion to determine the variational parameters. The agreement of calculated order parameter EP of the pure gauge sector with Monte Carlo data is much improved, especially, in the intermediate coupling region. The fermionic contributions are small to k6 hopping parameter expansion, but the general feature is in accordance with the Monte Carlo data qualitatively. The necessity of higher order calculations in the intermediate coupling region is discussed.

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Section: Criterion For Determining J and Calculation Of Epmentioning

confidence: 99%

“…( 12) to determine J. In this easier treatment we keep higher orders of k 4 appearing in (/?+ I6nfk 4 ). Due to the larger n; and higher order of jfc 4 included, the contributions of fermions should be enlarged.…”

Section: Pimentioning

confidence: 99%

SU(2) Gauge System with Dynamical Fermions in Cumulant Expansion Treatment

Zheng¹,

Chen²

1993

Commun. Theor. Phys.

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“…Recently, a number of Monte Carlo works' 3 ' have been done for Potts spin models. In the meantime, several authors studied' 4 ' Z (3) spin model in an analytical approach-the variational cumulant expansion which proved to be highly effective in lattice gauge theory' [5][6][7][8] '. They showed that this method works very well for Z(3) Potts model on hypercubic lattice.…”

Section: Introductionmentioning

confidence: 99%

Variational Cumulant Expansion for Spin Systems on a Triangular Lattice

Yang¹

1991

Commun. Theor. Phys.

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“…Up to now, none of analytical approaches has done anything in the analysis of the behaviour of large Wilson loops. It is necessary and worth while to study the ensemble averages of large Wilson loop by utilizing the analytical technique presented in previous papers' 6 ', in which the smallest lxl Wilson loop called a plaquette was taken into account. In the following sections, we dedicate to solve approximately the Schwinger-Dyson equations satisfied by a Wilson loop variable of size I X J, and then estimate the string tension of the theory.…”

Section: Introductionmentioning

confidence: 99%