### Abstract

The lattice Coulomb-gauge hamiltonian is derived from the transfer matrix of Wilson's Euclidean lattice gauge theory, wherein the lattice form of Gauss's law is satisfied identically. The restriction to a fundamental modular region (no Gribov copies) is implemented in an effective hamiltonian by the addition of a "horizon function" G to the lattice Coulomb-gauge hamiltonian. Its coefficient γ_{0} is a thermodynamic parameter that ultimately sets the scale for hadronic mass, and which is related to the bare coupling constant g_{0} by a "horizon condition". This condition determines the low momentum behavior of the (ghost) propagator that transmits the instantaneous longitudinal color-electric field, and thereby provides for a confinement-like feature in leading order in a new weak-coupling expansion.

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

Pages (from-to) | 185-240 |

Number of pages | 56 |

Journal | Nuclear Physics, Section B |

Volume | 485 |

Issue number | 1-2 |

State | Published - Feb 3 1997 |

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### Keywords

- Coulomb-gauge Hamiltonian
- Lattice gauge theory
- QCD
- QCD Hamiltonian
- Quark potential

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section B*,

*485*(1-2), 185-240.

**Lattice Coulomb hamiltonian and static color-Coulomb field.** / Zwanziger, Daniel.

Research output: Contribution to journal › Article

*Nuclear Physics, Section B*, vol. 485, no. 1-2, pp. 185-240.

}

TY - JOUR

T1 - Lattice Coulomb hamiltonian and static color-Coulomb field

AU - Zwanziger, Daniel

PY - 1997/2/3

Y1 - 1997/2/3

N2 - The lattice Coulomb-gauge hamiltonian is derived from the transfer matrix of Wilson's Euclidean lattice gauge theory, wherein the lattice form of Gauss's law is satisfied identically. The restriction to a fundamental modular region (no Gribov copies) is implemented in an effective hamiltonian by the addition of a "horizon function" G to the lattice Coulomb-gauge hamiltonian. Its coefficient γ0 is a thermodynamic parameter that ultimately sets the scale for hadronic mass, and which is related to the bare coupling constant g0 by a "horizon condition". This condition determines the low momentum behavior of the (ghost) propagator that transmits the instantaneous longitudinal color-electric field, and thereby provides for a confinement-like feature in leading order in a new weak-coupling expansion.

AB - The lattice Coulomb-gauge hamiltonian is derived from the transfer matrix of Wilson's Euclidean lattice gauge theory, wherein the lattice form of Gauss's law is satisfied identically. The restriction to a fundamental modular region (no Gribov copies) is implemented in an effective hamiltonian by the addition of a "horizon function" G to the lattice Coulomb-gauge hamiltonian. Its coefficient γ0 is a thermodynamic parameter that ultimately sets the scale for hadronic mass, and which is related to the bare coupling constant g0 by a "horizon condition". This condition determines the low momentum behavior of the (ghost) propagator that transmits the instantaneous longitudinal color-electric field, and thereby provides for a confinement-like feature in leading order in a new weak-coupling expansion.

KW - Coulomb-gauge Hamiltonian

KW - Lattice gauge theory

KW - QCD

KW - QCD Hamiltonian

KW - Quark potential

UR - http://www.scopus.com/inward/record.url?scp=0031550450&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031550450&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031550450

VL - 485

SP - 185

EP - 240

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -