Generalized Variational Procedure: An Application to Nonperturbative QCD

Civitarese, O.; Hess, Peter O.; Amor-Quiroz, D. A.

doi:10.1142/s0218301313500717

Search citation statements

Order By: Relevance

Paper Sections

Select...

Appendix A: the Kinetic Energy And The Effective Basis1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2015

2017

Publication Types

Select...

Article2

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The operator b † πkjmcf is a quark creation operator and d πkjmcf an antiquark annihilation operator with lower indices. The rule to raise and lower indices is taken from [41],…”

Section: Appendix A: the Kinetic Energy And The Effective Basismentioning

confidence: 99%

Low-energy meson spectrum from a QCD approach based on many-body methods

Amor-Quiroz

Yépez‐Martínez

Hess

et al. 2017

Int. J. Mod. Phys. E

Self Cite

View full text Add to dashboard Cite

The TDA and RPA many-body methods are applied to a QCD motivated Hamiltonian in the Coulomb gauge. The gluon effects in the low energy domain are accounted for by the Instantaneous color-Coulomb Interaction between color-charge densities, approximated by the sum of a Coulomb (α/r) and a confining linear (βr) potentials. We use the eigenfunctions of the harmonic oscillator as a basis for the quantization of the quark fields, and discuss how suitable this basis is in various steps of the calculation. We show that the TDA results already reproduce the gross-structure of the light flavored meson states. The pion-like state in the RPA description, which is a highly collective state, is in a better agreement with the experimental value. The results are related to other nonperturbative treatments and compared to experimental data. We discuss the advantages of the present approach.

show abstract

“…The operator b † πkjmcf is a quark creation operator and d πkjmcf an antiquark annihilation operator with lower indices. The rule to raise and lower indices is taken from [41],…”

Section: Appendix A: the Kinetic Energy And The Effective Basismentioning

confidence: 99%