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 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.
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
Lattice Coulomb hamiltonian and static color-Coulomb field. / Zwanziger, Daniel.
In: Nuclear Physics, Section B, Vol. 485, No. 1-2, 03.02.1997, p. 185-240.Research output: Contribution to journal › Article
}
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
VL - 485
SP - 185
EP - 240
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 1-2
ER -