Many body theory and lattice gauge theory

Keh Fei Liu

doi:10.1016/0370-1573(94)90179-1

Many body theory and lattice gauge theory

Research output: Contribution to journal › Article › peer-review

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 g_A is negative and large enough to cancel the valence (connected insertion) contribution substantially to resolve the "proton spin crisis".

Original language	English
Pages (from-to)	463-469
Number of pages	7
Journal	Physics Reports
Volume	242
Issue number	4-6
DOIs	https://doi.org/10.1016/0370-1573(94)90179-1
State	Published - 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.

Funding

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.

Funders	Funder number
Michigan State University-U.S. Department of Energy (MSU-DOE) Plant Research Laboratory	DE-FGO5-84ER40154

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1016/0370-1573(94)90179-1

Cite this

@article{09fe78ec4b864cbb9eac7dd00d8809c2,

title = "Many body theory and lattice gauge theory",

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{"}.",

author = "Liu, {Keh Fei}",

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.",

year = "1994",

month = jul,

doi = "10.1016/0370-1573(94)90179-1",

language = "English",

volume = "242",

pages = "463--469",

number = "4-6",

}

TY - JOUR

T1 - Many body theory and lattice gauge theory

AU - Liu, Keh Fei

N1 - 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.

PY - 1994/7

Y1 - 1994/7

N2 - 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".

AB - 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".

UR - http://www.scopus.com/inward/record.url?scp=12944268921&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=12944268921&partnerID=8YFLogxK

U2 - 10.1016/0370-1573(94)90179-1

DO - 10.1016/0370-1573(94)90179-1

M3 - Article

AN - SCOPUS:12944268921

SN - 0370-1573

VL - 242

SP - 463

EP - 469

JO - Physics Reports

JF - Physics Reports

IS - 4-6

ER -

Many body theory and lattice gauge theory

Abstract

Bibliographical note

Funding

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this