Quark distribution inside a pion in many-flavor ( )-dimensional QCD using lattice computations: UV listens to IR
Abstract
We study the changes in the short-distance quark structure of the Nambu-Goldstone boson when the long-distance symmetry-breaking scales are depleted controllably. We achieve this by studying the valence parton distribution function (PDF) of pion in 2+1 dimensional two-color QCD, with the number N of massless quarks as the tunable parameter that slides the theory from being strongly broken for N=0 to the conformal window for N>4, where the theory is gapped by the fixed finite volume. We perform our study nonperturbatively using lattice simulations with N=0, 2, 4, 8 flavors of nearly massless two-component Wilson-Dirac sea quarks and employ the leading-twist formalism (LaMET/SDF) to compute the PDF of pion at a fixed valence mass. We find that the relative variations in the first few PDF moments are only mild compared to the changes in decay constant, but the shape of the reconstructed x-dependent PDF itself dramatically changes from being broad in the scale-broken sector to being sharply peaked in the near-conformal region, best reflected in PDF shape observables such as the cumulants.
- Authors:
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1780188
- Alternate Identifier(s):
- OSTI ID: 1780844
- Report Number(s):
- JLAB-THY-21-3258; DOE/OR/23177-5110; arXiv:2101.02224
Journal ID: ISSN 2470-0010; PRVDAQ; 074512
- Grant/Contract Number:
- AC05-06OR23177; FG02-04ER41302
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 103 Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Deep inelastic scattering; lower-dimensional field theories; nonperturbative effects in field theory; spontaneous symmetry breaking; hadrons; pions; lattice field theory
Citation Formats
Karthik, Nikhil. Quark distribution inside a pion in many-flavor ( 2 + 1 )-dimensional QCD using lattice computations: UV listens to IR. United States: N. p., 2021.
Web. doi:10.1103/PhysRevD.103.074512.
Karthik, Nikhil. Quark distribution inside a pion in many-flavor ( 2 + 1 )-dimensional QCD using lattice computations: UV listens to IR. United States. https://doi.org/10.1103/PhysRevD.103.074512
Karthik, Nikhil. Thu .
"Quark distribution inside a pion in many-flavor ( 2 + 1 )-dimensional QCD using lattice computations: UV listens to IR". United States. https://doi.org/10.1103/PhysRevD.103.074512.
@article{osti_1780188,
title = {Quark distribution inside a pion in many-flavor ( 2 + 1 )-dimensional QCD using lattice computations: UV listens to IR},
author = {Karthik, Nikhil},
abstractNote = {We study the changes in the short-distance quark structure of the Nambu-Goldstone boson when the long-distance symmetry-breaking scales are depleted controllably. We achieve this by studying the valence parton distribution function (PDF) of pion in 2+1 dimensional two-color QCD, with the number N of massless quarks as the tunable parameter that slides the theory from being strongly broken for N=0 to the conformal window for N>4, where the theory is gapped by the fixed finite volume. We perform our study nonperturbatively using lattice simulations with N=0, 2, 4, 8 flavors of nearly massless two-component Wilson-Dirac sea quarks and employ the leading-twist formalism (LaMET/SDF) to compute the PDF of pion at a fixed valence mass. We find that the relative variations in the first few PDF moments are only mild compared to the changes in decay constant, but the shape of the reconstructed x-dependent PDF itself dramatically changes from being broad in the scale-broken sector to being sharply peaked in the near-conformal region, best reflected in PDF shape observables such as the cumulants.},
doi = {10.1103/PhysRevD.103.074512},
journal = {Physical Review D},
number = 7,
volume = 103,
place = {United States},
year = {Thu Apr 29 00:00:00 EDT 2021},
month = {Thu Apr 29 00:00:00 EDT 2021}
}
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