### Abstract

A particular initial state for the construction of the perturbative expansion of QCD is investigated. It is formed as a coherent superposition of zero momentum gluon pairs and shows Lorentz as well as global SU(3) symmetries. It follows that the gluon and ghost propagators determined by it coincide with the ones used in an alternative of the usual perturbation theory proposed in a previous work. Therefore, the ability of such a procedure to produce a finite gluon condensation parameter already in the first orders of perturbation theory is naturally explained. It also follows that this state satisfies the physicality condition of the Becchi-Rouet-Stora-Tyutin (BRST) procedure in its Kugo-Ojima formulation. The BRST quantization is done for the value α =1 of the gauge parameter where the procedure is greatly simplified. Therefore, after assuming that the adiabatic connection of the interaction does not take out the state from the interacting physical space, the predictions of the perturbation expansion, at the value α=1, for the physical quantities should have meaning. The validity of this conclusion solves the gauge dependence indeterminacy remaining in the proposed perturbation expansion.

Original language | English (US) |
---|---|

Article number | 074018 |

Pages (from-to) | 1-11 |

Number of pages | 11 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 62 |

Issue number | 7 |

State | Published - Oct 1 2000 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*62*(7), 1-11. [074018].

}

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 62, no. 7, 074018, pp. 1-11.

**Modified initial state for perturbative QCD.** / Rigol, Marcos; Cabo, Alejandro.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Modified initial state for perturbative QCD

AU - Rigol, Marcos

AU - Cabo, Alejandro

PY - 2000/10/1

Y1 - 2000/10/1

N2 - A particular initial state for the construction of the perturbative expansion of QCD is investigated. It is formed as a coherent superposition of zero momentum gluon pairs and shows Lorentz as well as global SU(3) symmetries. It follows that the gluon and ghost propagators determined by it coincide with the ones used in an alternative of the usual perturbation theory proposed in a previous work. Therefore, the ability of such a procedure to produce a finite gluon condensation parameter already in the first orders of perturbation theory is naturally explained. It also follows that this state satisfies the physicality condition of the Becchi-Rouet-Stora-Tyutin (BRST) procedure in its Kugo-Ojima formulation. The BRST quantization is done for the value α =1 of the gauge parameter where the procedure is greatly simplified. Therefore, after assuming that the adiabatic connection of the interaction does not take out the state from the interacting physical space, the predictions of the perturbation expansion, at the value α=1, for the physical quantities should have meaning. The validity of this conclusion solves the gauge dependence indeterminacy remaining in the proposed perturbation expansion.

AB - A particular initial state for the construction of the perturbative expansion of QCD is investigated. It is formed as a coherent superposition of zero momentum gluon pairs and shows Lorentz as well as global SU(3) symmetries. It follows that the gluon and ghost propagators determined by it coincide with the ones used in an alternative of the usual perturbation theory proposed in a previous work. Therefore, the ability of such a procedure to produce a finite gluon condensation parameter already in the first orders of perturbation theory is naturally explained. It also follows that this state satisfies the physicality condition of the Becchi-Rouet-Stora-Tyutin (BRST) procedure in its Kugo-Ojima formulation. The BRST quantization is done for the value α =1 of the gauge parameter where the procedure is greatly simplified. Therefore, after assuming that the adiabatic connection of the interaction does not take out the state from the interacting physical space, the predictions of the perturbation expansion, at the value α=1, for the physical quantities should have meaning. The validity of this conclusion solves the gauge dependence indeterminacy remaining in the proposed perturbation expansion.

UR - http://www.scopus.com/inward/record.url?scp=17944382596&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17944382596&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:17944382596

VL - 62

SP - 1

EP - 11

JO - Physical Review D

JF - Physical Review D

SN - 0556-2821

IS - 7

M1 - 074018

ER -