https://doi.org/10.1140/epjc/s10052-019-7023-x
Regular Article - Theoretical Physics
Abelian decomposition and Weyl symmetric effective action of SU(3) QCD
1
Center for Quantum Spacetime, Sogang University, Seoul, 04107, Korea
2
School of Physics and Astronomy, Seoul National University, Seoul, 08826, Korea
3
Department of Physics and Astronomy, Institute for Quantum Computing, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
* e-mail: ymcho0416@gmail.com
Received:
7
May
2019
Accepted:
1
June
2019
Published online:
13
June
2019
We show how to calculate the effective potential of SU(3) QCD which tells that the true minimum is given by the monopole condensation. To do this we make the gauge independent Weyl symmetric Abelian decomposition of the SU(3) QCD which decomposes the gluons to the color neutral neurons and the colored chromons. In the perturbative regime this decomposes the Feynman diagram in such a way that the conservation of color is explicit. Moreover, this shows the existence of two gluon jets, the neuron jet and chromon jet, which can be verified by experiment. In the non-perturbative regime, the decomposition puts QCD to the background field formalism and reduces the non-Abelian gauge symmetry to a discrete color reflection symmetry, and provides us an ideal platform to calculate the one-loop effective action of QCD. Integrating out the chromons from the Weyl symmetric Abelian decomposition of QCD gauge invariantly imposing the color reflection invariance, we obtain the SU(3) QCD effective potential which generates the stable monopole condensation and the mass gap. We discuss the physical implications of our result, in particular the possible existence of the vacuum fluctuation mode of the monopole condensation in QCD.
© The Author(s), 2019
