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Article overview
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Gauge Dependence of Effective Quark Mass and Matrix Elements in Gaugefixed Large $N$ Strong Coupling Lattice QCD | | Ken Yee
; | | Date: |
3 Jul 1992 | | Journal: | Nucl.Phys. B397 (1993) 564-590 | | Subject: | hep-lat | | Abstract: | In conjunction with recent numerical hbox{$lambda~partial_0 A_0 +
ablacdotvec{A} =0$} ``$lambda$-gauge’’ results reported in a companion paper, we construct an $N oinfty$ Wilson loop picture of $lambda$-gaugefixing in which (I)the $lambda$-gauge expectation value of a link chain $C$ is the weighted sum over Wilson loops made by joining to $C$ all selfavoiding chains $widetilde{C}$ closing $C$. (II)Weights $A_{widetilde{C}}$, containing all the $lambda$-dependence, are given by the $eta=0$ $lambda$-gauge expectation value of $widetilde{C}$. (III)$A_{widetilde{C}}$ equals path-products of coefficients from the trace expansion of the gaugefixing Boltzmann weight. From (II) and (III) we deduce formulas for $eta =0$ quark matrix elements. We find that $M_q^{(lambda)}$ decreases with increasing $lambda$; the quark propagator dispersion relation is not covariant when $lambda
e 1$; and $Delta I=1/2$ matching coefficients are $lambda$-independent. These strong coupling features are qualitatively consistent with numerical $eta=5.7$ and $6.0$ results briefly described here for comparison purposes but mainly presented in a companion paper. | | Source: | arXiv, hep-lat/9207002 | | Services: | Forum | Review | PDF | Favorites | |
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