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No confinement without Coulomb confinement.

Daniel Zwanziger1

  • 1Physics Department, New York University, New York, New York 10003, USA.

Physical Review Letters
|April 12, 2003
PubMed
Summary

The physical potential for quark-antiquark pairs is shown to be confining if it approaches infinity. This implies the color-Coulomb potential is also confining, a key finding in quantum chromodynamics.

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Area of Science:

  • * Theoretical Particle Physics
  • * Quantum Chromodynamics (QCD)

Background:

  • * The behavior of quark-antiquark potentials is crucial for understanding the strong nuclear force.
  • * The color-Coulomb potential is derived from the instantaneous component of the gluon propagator in Coulomb gauge.

Purpose of the Study:

  • * To compare the physical potential V(D)(R) of quark-antiquark pairs with the color-Coulomb potential V(coul)(R).
  • * To investigate the implications of a confining physical potential on the color-Coulomb potential.

Main Methods:

  • * Analysis of the asymptotic behavior of potentials at large distances (R).
  • * Mathematical comparison of V(D)(R) and V(coul)(R) using the Casimir factor C(D).

Main Results:

  • * Demonstrated that if V(D)(R) is confining (approaches infinity), then V(D)(R) <= -C(D)V(coul)(R) asymptotically.
  • * Established that the color-Coulomb potential, -V(coul)(R), is also confining under these conditions.

Conclusions:

  • * The confinement of the physical potential implies the confinement of the color-Coulomb potential.
  • * This provides theoretical insight into the non-perturbative aspects of quantum chromodynamics and quark binding.

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