Many body theory and lattice gauge theory

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Abstract

We draw analogies between the shell model and the quark model and also between the many body theory and the lattice gauge theory. We then report results of our lattice calculations on the πN σ term and the flavor-singlet axial charge of the nucleon in the framework of quenched QCD. The disconnected insertions, or vacuum polarizations, which involve contributions from the sea quarks are evaluated with the stochastic estimator with the Z2 noise which yields minimum variances. We find the sea-quark contribution to the πN σ term to be ∼ 1 2- 1 4 of that of the dynamical fermion calculation. Whereas the sea-quark contribution to the flavor-singlet gA is negative and large enough to cancel the valence (connected insertion) contribution substantially to resolve the "proton spin crisis".

Original languageEnglish
Pages (from-to)463-469
Number of pages7
JournalPhysics Reports
Volume242
Issue number4-6
DOIs
StatePublished - Jul 1994

Bibliographical note

Funding Information:
I would like to take this opportunity to express my sincere thanks to Tom Kuo for his teachings and his guidance both in physics and in life from which I have benefitted a great deal over the years. This work is partially supported by the DOE grant DE-FGO5-84ER40154.

ASJC Scopus subject areas

  • General Physics and Astronomy

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