Pion and kaon parton distributions in the QCD instanton vacuum
Abstract
We discuss a general diagrammatic description of $$\textit{n}$$-point functions in the QCD instanton vacuum that resums planar diagrams, and enforces gauge invariance and spontaneously broken chiral symmetry. We use these diagrammatic rules to derive the pion and kaon quasiparton amplitude and distribution functions at leading order in the instanton packing fraction for large but finite momentum. The instanton and anti-instanton zero modes and nonzero modes are found to contribute to the quasidistributions, but the latter are shown to drop out in the large-momentum limit. The pertinent pion and kaon parton distribution amplitudes and functions are made explicit at the low renormalization scale fixed by the inverse instanton size. Assuming that factorization holds, the pion parton distributions are evolved to higher renormalization scales with one-loop DGLAP evolution and compared to existing data.
- Publication Date:
- Research Org.:
- State Univ. of New York (SUNY), Albany, NY (United States); Stony Brook Univ., NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1642338
- Alternate Identifier(s):
- OSTI ID: 1800701; OSTI ID: 2280781
- Grant/Contract Number:
- FG-88ER40388; FG02-88ER40388
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 1; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Kock, Arthur, Liu, Yizhuang, and Zahed, Ismail. Pion and kaon parton distributions in the QCD instanton vacuum. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.102.014039.
Kock, Arthur, Liu, Yizhuang, & Zahed, Ismail. Pion and kaon parton distributions in the QCD instanton vacuum. United States. https://doi.org/10.1103/PhysRevD.102.014039
Kock, Arthur, Liu, Yizhuang, and Zahed, Ismail. Thu .
"Pion and kaon parton distributions in the QCD instanton vacuum". United States. https://doi.org/10.1103/PhysRevD.102.014039.
@article{osti_1642338,
title = {Pion and kaon parton distributions in the QCD instanton vacuum},
author = {Kock, Arthur and Liu, Yizhuang and Zahed, Ismail},
abstractNote = {We discuss a general diagrammatic description of $\textit{n}$-point functions in the QCD instanton vacuum that resums planar diagrams, and enforces gauge invariance and spontaneously broken chiral symmetry. We use these diagrammatic rules to derive the pion and kaon quasiparton amplitude and distribution functions at leading order in the instanton packing fraction for large but finite momentum. The instanton and anti-instanton zero modes and nonzero modes are found to contribute to the quasidistributions, but the latter are shown to drop out in the large-momentum limit. The pertinent pion and kaon parton distribution amplitudes and functions are made explicit at the low renormalization scale fixed by the inverse instanton size. Assuming that factorization holds, the pion parton distributions are evolved to higher renormalization scales with one-loop DGLAP evolution and compared to existing data.},
doi = {10.1103/PhysRevD.102.014039},
journal = {Physical Review D},
number = 1,
volume = 102,
place = {United States},
year = {Thu Jul 23 00:00:00 EDT 2020},
month = {Thu Jul 23 00:00:00 EDT 2020}
}
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https://doi.org/10.1103/PhysRevD.102.014039
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