### Abstract

We conjecture that a T-dual form of pure QCD describes dynamics of point-like monopoles. T-duality transforms the QCD Lagrangian into a matrix quantum mechanics of zero-branes which we identify with monopoles. At generic points of the monopole moduli space, the SU(N) gauge group is broken down to U(1)(N-1) reproducing the key feature of 't Hooft's Abelian projection. There are certain points in the moduli space where monopole positions coincide, gauge symmetry is enhanced and gluons emerge as massless excitations. We show that there is a linearly rising potential between zero-branes. This indicates the presence of a stretched flux tube between monopoles. The lowest energy state is achieved when monopoles are sitting on top of each other and gauge symmetry is enhanced. In this case they behave as free massive particles and can be condensed. In fact, we find a constant eigenfunction of the corresponding Hamiltonian which describes condensation of monopoles. Using the monopole quantum mechanics, we argue that large-N QCD in this T-dual picture is a theory of a closed bosonic membrane propagating in five-dimensional space-time. QCD point-like monopoles can be regarded in this approach as constituents of the membrane.

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

Pages (from-to) | 293-308 |

Number of pages | 16 |

Journal | Modern Physics Letters A |

Volume | 15 |

Issue number | 4 |

DOIs | |

State | Published - Feb 10 2000 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics

### Cite this

*Modern Physics Letters A*,

*15*(4), 293-308. https://doi.org/10.1016/S0217-7323(00)00028-1

**Zero-brane matrix mechanics, monopoles and membrane approach in QCD.** / Gabadadze, Gregory; Kakushadze, Zurab.

Research output: Contribution to journal › Article

*Modern Physics Letters A*, vol. 15, no. 4, pp. 293-308. https://doi.org/10.1016/S0217-7323(00)00028-1

}

TY - JOUR

T1 - Zero-brane matrix mechanics, monopoles and membrane approach in QCD

AU - Gabadadze, Gregory

AU - Kakushadze, Zurab

PY - 2000/2/10

Y1 - 2000/2/10

N2 - We conjecture that a T-dual form of pure QCD describes dynamics of point-like monopoles. T-duality transforms the QCD Lagrangian into a matrix quantum mechanics of zero-branes which we identify with monopoles. At generic points of the monopole moduli space, the SU(N) gauge group is broken down to U(1)(N-1) reproducing the key feature of 't Hooft's Abelian projection. There are certain points in the moduli space where monopole positions coincide, gauge symmetry is enhanced and gluons emerge as massless excitations. We show that there is a linearly rising potential between zero-branes. This indicates the presence of a stretched flux tube between monopoles. The lowest energy state is achieved when monopoles are sitting on top of each other and gauge symmetry is enhanced. In this case they behave as free massive particles and can be condensed. In fact, we find a constant eigenfunction of the corresponding Hamiltonian which describes condensation of monopoles. Using the monopole quantum mechanics, we argue that large-N QCD in this T-dual picture is a theory of a closed bosonic membrane propagating in five-dimensional space-time. QCD point-like monopoles can be regarded in this approach as constituents of the membrane.

AB - We conjecture that a T-dual form of pure QCD describes dynamics of point-like monopoles. T-duality transforms the QCD Lagrangian into a matrix quantum mechanics of zero-branes which we identify with monopoles. At generic points of the monopole moduli space, the SU(N) gauge group is broken down to U(1)(N-1) reproducing the key feature of 't Hooft's Abelian projection. There are certain points in the moduli space where monopole positions coincide, gauge symmetry is enhanced and gluons emerge as massless excitations. We show that there is a linearly rising potential between zero-branes. This indicates the presence of a stretched flux tube between monopoles. The lowest energy state is achieved when monopoles are sitting on top of each other and gauge symmetry is enhanced. In this case they behave as free massive particles and can be condensed. In fact, we find a constant eigenfunction of the corresponding Hamiltonian which describes condensation of monopoles. Using the monopole quantum mechanics, we argue that large-N QCD in this T-dual picture is a theory of a closed bosonic membrane propagating in five-dimensional space-time. QCD point-like monopoles can be regarded in this approach as constituents of the membrane.

UR - http://www.scopus.com/inward/record.url?scp=0034628368&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034628368&partnerID=8YFLogxK

U2 - 10.1016/S0217-7323(00)00028-1

DO - 10.1016/S0217-7323(00)00028-1

M3 - Article

VL - 15

SP - 293

EP - 308

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 4

ER -