### Abstract

Large N_{c} pure gluodynamics was shown to have a set of metastable vacua with the gluonic domain walls interpolating between them. The walls may separate the genuine vacuum from an excited one or two excited vacua which are unstable at finite N_{c}. One may attempt to stabilize them by switching on the axion field. We study how the light quarks and the axion affect the structure of the domain walls. In pure gluodynamics (with the axion field) the axion walls acquire a very hard gluonic core. Thus, we deal with a wall "sandwich" which is stable at finite N_{c}. In the case of the minimal axion, the wall "sandwich" is in fact a "2π" wall; i.e., the corresponding field configuration interpolates between identical hadronic vacua. The same properties hold in QCD with three light quarks and very large N_{c}. However, in the realistic case of three-color QCD the phase corresponding to the axion field profile in the axion wall is screened by a dynamical phase associated with the η′, so that the gluon component of the wall is not excited. We propose a toy Lagrangian which models these properties and allows one to get exact solutions for the domain walls.

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

Article number | 114003 |

Pages (from-to) | 1-11 |

Number of pages | 11 |

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

Volume | 62 |

Issue number | 11 |

State | Published - Dec 1 2000 |

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### ASJC Scopus subject areas

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

### Cite this

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

*62*(11), 1-11. [114003].

**Vacuum structure and the axion walls in gluodynamics and QCD with light quarks.** / Gabadadze, Gregory; Shifman, M.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 62, no. 11, 114003, pp. 1-11.

}

TY - JOUR

T1 - Vacuum structure and the axion walls in gluodynamics and QCD with light quarks

AU - Gabadadze, Gregory

AU - Shifman, M.

PY - 2000/12/1

Y1 - 2000/12/1

N2 - Large Nc pure gluodynamics was shown to have a set of metastable vacua with the gluonic domain walls interpolating between them. The walls may separate the genuine vacuum from an excited one or two excited vacua which are unstable at finite Nc. One may attempt to stabilize them by switching on the axion field. We study how the light quarks and the axion affect the structure of the domain walls. In pure gluodynamics (with the axion field) the axion walls acquire a very hard gluonic core. Thus, we deal with a wall "sandwich" which is stable at finite Nc. In the case of the minimal axion, the wall "sandwich" is in fact a "2π" wall; i.e., the corresponding field configuration interpolates between identical hadronic vacua. The same properties hold in QCD with three light quarks and very large Nc. However, in the realistic case of three-color QCD the phase corresponding to the axion field profile in the axion wall is screened by a dynamical phase associated with the η′, so that the gluon component of the wall is not excited. We propose a toy Lagrangian which models these properties and allows one to get exact solutions for the domain walls.

AB - Large Nc pure gluodynamics was shown to have a set of metastable vacua with the gluonic domain walls interpolating between them. The walls may separate the genuine vacuum from an excited one or two excited vacua which are unstable at finite Nc. One may attempt to stabilize them by switching on the axion field. We study how the light quarks and the axion affect the structure of the domain walls. In pure gluodynamics (with the axion field) the axion walls acquire a very hard gluonic core. Thus, we deal with a wall "sandwich" which is stable at finite Nc. In the case of the minimal axion, the wall "sandwich" is in fact a "2π" wall; i.e., the corresponding field configuration interpolates between identical hadronic vacua. The same properties hold in QCD with three light quarks and very large Nc. However, in the realistic case of three-color QCD the phase corresponding to the axion field profile in the axion wall is screened by a dynamical phase associated with the η′, so that the gluon component of the wall is not excited. We propose a toy Lagrangian which models these properties and allows one to get exact solutions for the domain walls.

UR - http://www.scopus.com/inward/record.url?scp=17144406058&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17144406058&partnerID=8YFLogxK

M3 - Article

VL - 62

SP - 1

EP - 11

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 11

M1 - 114003

ER -