Twist-two matrix elements at finite and infinite volume

William Detmold; Chi-Jen Lin

doi:10.1103/PhysRevD.71.054510

Twist-two matrix elements at finite and infinite volume

William Detmold^*, Chi-Jen Lin

^*Corresponding author for this work

Institute of Physics

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

53 Scopus citations

Abstract

We present one-loop results for the forward twist-two matrix elements relevant to the unpolarized, helicity and transversity baryon structure functions, in partially-quenched (N_f = 2 and N_f = 2 + 1) heavy baryon chiral perturbation theory. The full-QCD limit can be straightforwardly obtained from these results and we also consider SU(2/2) quenched QCD. Our calculations are performed in finite volume as well as in infinite-volume. We discuss features of lattice simulations and investigate finite volume effects in detail. We find that volume effects are not negligible, typically around 5%-10% in current partially-quenched and full-QCD calculations, and are possibly larger in quenched QCD. Extensions to the off-forward matrix elements and potential difficulties that occur there are also discussed.

Original language	English
Article number	054510
Pages (from-to)	1-31
Number of pages	31
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	71
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevD.71.054510
State	Published - 1 Mar 2005

Access to Document

10.1103/PhysRevD.71.054510

Fingerprint Dive into the research topics of 'Twist-two matrix elements at finite and infinite volume'. Together they form a unique fingerprint.

Cite this

@article{9e7a58ea16d3451da853679c74f504e1,

title = "Twist-two matrix elements at finite and infinite volume",

abstract = "We present one-loop results for the forward twist-two matrix elements relevant to the unpolarized, helicity and transversity baryon structure functions, in partially-quenched (Nf = 2 and Nf = 2 + 1) heavy baryon chiral perturbation theory. The full-QCD limit can be straightforwardly obtained from these results and we also consider SU(2/2) quenched QCD. Our calculations are performed in finite volume as well as in infinite-volume. We discuss features of lattice simulations and investigate finite volume effects in detail. We find that volume effects are not negligible, typically around 5%-10% in current partially-quenched and full-QCD calculations, and are possibly larger in quenched QCD. Extensions to the off-forward matrix elements and potential difficulties that occur there are also discussed.",

author = "William Detmold and Chi-Jen Lin",

year = "2005",

month = mar,

day = "1",

doi = "10.1103/PhysRevD.71.054510",

language = "English",

volume = "71",

pages = "1--31",

journal = "Physical Review D",

issn = "2470-0010",

publisher = "American Physical Society",

number = "5",

}

TY - JOUR

T1 - Twist-two matrix elements at finite and infinite volume

AU - Detmold, William

AU - Lin, Chi-Jen

PY - 2005/3/1

Y1 - 2005/3/1

N2 - We present one-loop results for the forward twist-two matrix elements relevant to the unpolarized, helicity and transversity baryon structure functions, in partially-quenched (Nf = 2 and Nf = 2 + 1) heavy baryon chiral perturbation theory. The full-QCD limit can be straightforwardly obtained from these results and we also consider SU(2/2) quenched QCD. Our calculations are performed in finite volume as well as in infinite-volume. We discuss features of lattice simulations and investigate finite volume effects in detail. We find that volume effects are not negligible, typically around 5%-10% in current partially-quenched and full-QCD calculations, and are possibly larger in quenched QCD. Extensions to the off-forward matrix elements and potential difficulties that occur there are also discussed.

AB - We present one-loop results for the forward twist-two matrix elements relevant to the unpolarized, helicity and transversity baryon structure functions, in partially-quenched (Nf = 2 and Nf = 2 + 1) heavy baryon chiral perturbation theory. The full-QCD limit can be straightforwardly obtained from these results and we also consider SU(2/2) quenched QCD. Our calculations are performed in finite volume as well as in infinite-volume. We discuss features of lattice simulations and investigate finite volume effects in detail. We find that volume effects are not negligible, typically around 5%-10% in current partially-quenched and full-QCD calculations, and are possibly larger in quenched QCD. Extensions to the off-forward matrix elements and potential difficulties that occur there are also discussed.

UR - http://www.scopus.com/inward/record.url?scp=18444409362&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.71.054510

DO - 10.1103/PhysRevD.71.054510

M3 - Article

AN - SCOPUS:18444409362

VL - 71

SP - 1

EP - 31

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 5

M1 - 054510

ER -

Twist-two matrix elements at finite and infinite volume

Abstract

Access to Document

Other files and links

Cite this