Abstract
Hypothesis of quark binding through condensation of gluons inside hadrons is formulated in the context of a renormalization group procedure for effective particles (RGPEP) in the light-front (LF) Hamiltonian approach to QCD. At the momentum scales of relative motion of hadronic constituents that are comparable with Λ QCD , the hypothetical boost-invariant constituent dynamics is identified using gauge symmetry. The resulting picture of mesons and baryons closely resembles constituent quark models with harmonic oscillator potentials, shares some features of AdS/QCD, and can be systematically studied using RGPEP in QCD.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Dirac P.: Forms of relativistic dynamics. Rev. Mod. Phys. 21, 392–399 (1949)
Dirac P.: Quantum electrodynamics without dead wood. Phys. Rev. 139, B684–B690 (1965)
Wilson K.: Model Hamiltonians for quantum field theory. Phys. Rev. 140, B445–B457 (1965)
Wilson K.: Model of coupling-constant renormalization. Phys. Rev. D 2, 1438–1472 (1970)
Lepage G., Brodsky S.: Exclusive processes in perturbative quantum chromodynamics. Phys. Rev. D 22, 2157–2198 (1980)
Srivastava P., Brodsky S.: Light front quantized QCD in light cone gauge. Phys. Rev. D 64, 045006 (2001)
Gross D., Wilczek F.: Ultraviolet behavior of Non-Abelian gauge theories. Phys. Rev. Lett. 30, 1343–1346 (1973)
Politzer H.: Reliable perturbative results for strong interactions?. Phys. Rev. Lett. 30, 1346–1349 (1973)
Głazek S.: Dynamics of effective gluons. Phys. Rev. D 63, 116006 (2001)
Shifman M. et al.: QCD and resonance physics. Sum Rules. Nucl. Phys. B 147, 385–447 (1979a)
Shifman M. et al.: QCD and resonance physics: applications. Nucl. Phys. B 147, 448–518 (1979b)
Głazek S., Wilson K.: Renormalization of Hamiltonians. Phys. Rev. D 48, 5863–5872 (1993)
Głazek S., Wilson K.: Perturbative renormalization group for Hamiltonians. Phys. Rev. D 49, 4214–4218 (1994)
Wilson K. et al.: Non-perturbative QCD: A weak-coupling treatment on the light front. Phys. Rev. D 49, 6720–6766 (1994)
Głazek S.: Reinterpretation of gluon condensate in dynamics of hadronic constituents. Acta Phys. Polon. B 42, 1933–2010 (2011)
Głazek S.: Non-local interactions in renormalized Hamiltonians. Acta Phys. Polon. B 41, 2669–2683 (2010)
Wegner F.: Flow-equations for Hamiltonians. Ann. Phys. (Leipzig) 3, 77–91 (1994)
Kehrein S.: The Flow Equation Approach to Many-Particle Systems. Springer, Berlin (2006)
Nakamura K. et al.: Quark masses, Eq. (2) (URL: http://pdg.lbl.gov). JPG 37, 075021 (2010)
Chang L. et al.: Exploring the light–quark interaction. Chin. Phys. C 33, 1189–1196 (2009)
Głazek S., Schaden M.: Gluon condensate induced confinement in mesons and baryons. Phys. Lett. B 198, 42–44 (1987)
Isgur N., Karl G.: Ground-state baryons in a quark model with hyperfine interactions. Phys. Rev. D 20, 1191–1194 (1979)
Murthy M. et al.: Rotational bands in the baryon spectrum. II. Phys. Rev. D 30, 152–162 (1984)
Brauer K. et al.: On one pion exchange potential with quark exchange in the resonating group method. Z. Phys. A 320, 609–612 (1985)
Brodsky S., Teramond G.: Light-front dynamics and AdS/QCD correspondence: The pion form factor in the space- and time-like regions. Phys. Rev. D 77, 056007-20 (2008a)
Brodsky S., Teramond G.: Light-front dynamics and AdS/QCD correspondence: Gravitational form factors of composite hadrons. Phys. Rev. D 78, 025032-16 (2008b)
Brodsky S., Teramond G.: Light-front holography: a first approximation to QCD. Phys. Rev. Lett. 102, 081601-4 (2009)
Brodsky S. et al.: Nonperturbative QCD coupling and its β-function from light-front holography. Phys. Rev. D 81, 096010-13 (2010)
Karch A. et al.: Linear confinement and AdS/QCD. Phys. Rev. D 74, 015005-7 (2006)
Brodsky S., Shrock R.: Condensates in quantum chromodynamics and the cosmological constant. Proc. Natl. Acad. Sci. USA 108, 45–50 (2011)
Maris P. et al.: Pion mass and decay constant. Phys. Lett. B 420, 267–273 (1998)
Brodsky S. et al.: New perspectives on the quark condensate. Phys. Rev. C 82, 022201(R)-5 (2010)
Acknowledgments
I would like to thank Simon Dalley and the Organizing Committee for the invitation and opportunity to participate in the excellent meeting.
Open Access
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Głazek, S.D. Hypothesis of Quark Binding by Condensation of Gluons in Hadrons. Few-Body Syst 52, 367–373 (2012). https://doi.org/10.1007/s00601-011-0282-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00601-011-0282-1