Analysis of inter-quark interactions in classical chromodynamics

• Authors: Jurij Darewych , Askold Duviryak
• Languages of publication: EN

Abstracts

EN

The QCD gluon equation of motion is solved approximately by means of a Green function. This solution is used to reformulate the Lagrangian of QCD such that the gluon propagator appears directly in the interaction terms of the Lagrangian. The nature of the interactions is discussed. A coordinate-space form of the interactions is presented and analyzed in the static, non-relativistic case.

Keywords

EN

classical chromodynamics; cluster interaction

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 3
• Pages: 336-344

Dates

published

1 - 3 - 2013

online

28 - 3 - 2013

Contributors

author

Jurij Darewych

• Department of Physics and Astronomy, York University, 4700 Keele St., M3J 1P3, Toronto, Ontario, Canada

author

Askold Duviryak

• Institute for Condensed Matter Physics of the NAS of Ukraine, 1 Svientsitskii St., UA-79011, Lviv, Ukraine

References

• [1] R. Jackiw, Rev. Mod. Phys. 49, 681 (1977) http://dx.doi.org/10.1103/RevModPhys.49.681[Crossref]
• [2] J. W. Darewych, A. Duviryak, Phys. Rev. A 66, 032102 (2002) http://dx.doi.org/10.1103/PhysRevA.66.032102[Crossref]
• [3] A. G. Terekidi, J. W. Darewych, J. Math. Phys. 45, 1474 (2004) http://dx.doi.org/10.1063/1.1649794[Crossref]
• [4] A. G. Terekidi, J. W. Darewych, J. Math. Phys. 46, 032302 (2005) http://dx.doi.org/10.1063/1.1845602[Crossref]
• [5] M. Barham, J. W. Darewych, J. Phys. B 41, 185001 (2008) http://dx.doi.org/10.1088/0953-4075/41/18/185001[Crossref]
• [6] A. Actor, Rev. Mod. Phys. 51, 461 (1979) http://dx.doi.org/10.1103/RevModPhys.51.461[Crossref]
• [7] B. Kosyakov, Introduction to the classical theory of particles and fields (Springer, Heidelberg, 2007)
• [8] W. Drechsler, A. Rosenblum, Phys. Lett. B 106, 81 (1981) http://dx.doi.org/10.1016/0370-2693(81)91085-6[Crossref]
• [9] J. W. Darewych, A. Duviryak, J. Phys. A 43, 485402 (2010) http://dx.doi.org/10.1088/1751-8113/43/48/485402[Crossref]
• [10] J. W. Darewych, A. Duviryak, Few-Body Syst. 50, 299 (2011) http://dx.doi.org/10.1007/s00601-011-0230-0[Crossref]
• [11] V. Y. Shpytko, J. W. Darewych, Journal of Physical Studies 6, 289 (2002)
• [12] Review of Particle Physics, Phys. Lett. B 667, 116 (2008) http://dx.doi.org/10.1016/j.physletb.2008.07.027[Crossref]
• [13] P. Pascual, R. Tarrach, Renormalization for the Practitioner (Springer, Heidelberg, 1984) http://dx.doi.org/10.1007/3-540-12908-1[Crossref]
• [14] L. D. Faddeev, A. A. Slavnov, Gauge fields: introduction to quantum theory (Benjamin-Cummings, San Francisco, 1981)
• [15] M. Creutz, I. J. Muzinich, T. N. Tudron, Phys. Rev. D 19, 531 (1979) http://dx.doi.org/10.1103/PhysRevD.19.531[Crossref]
• [16] J. Greensite, An introduction to the confinement problem (Springer, Heidelberg, 2011) http://dx.doi.org/10.1007/978-3-642-14382-3[WoS][Crossref]

Identifiers

DOI

10.2478/s11534-013-0171-y