scholarly journals Coulomb gauge Green functions and Gribov copies in SU(2) lattice gauge theory

2008 ◽  
Author(s):  
Markus Quandt
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Coulomb Gauge ◽  
Green Functions ◽  
Lattice Gauge ◽  
Gribov Copies

scholarly journals Gribov copies and gauge variant correlators in U(1) lattice gauge theory

1999 ◽  
Vol 463 (1) ◽  
pp. 109-116 ◽  
Author(s):  
I.L. Bogolubsky ◽  
L. Del Debbio ◽  
V.K. Mitrjushkin
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Gribov Copies

scholarly journals TOWARD A PROOF OF LONG RANGE ORDER IN 4D SU(N) LATTICE GAUGE THEORY

2013 ◽  
Vol 28 (19) ◽  
pp. 1350087 ◽  
Author(s):  
MICHAEL GRADY
Keyword(s):  
Phase Transition ◽  
Gauge Theory ◽  
Long Range ◽  
Lattice Gauge Theory ◽  
Coulomb Gauge ◽  
Range Order ◽  
Spontaneous Breaking ◽  
Ferromagnetic Phase ◽  
Long Range Order ◽  
Lattice Gauge

An extended version of four-dimensional (4D) SU(2) lattice gauge theory is considered in which different inverse coupling parameters are used, [Formula: see text] for plaquettes which are purely space-like, and βV for those which involve the Euclidean time-like direction. It is shown that when βH = ∞ the partition function becomes, in the Coulomb gauge, exactly that of a set of non-interacting three-dimensional (3D) O(4) classical Heisenberg models. Long range order (LRO) at low temperatures (weak coupling) has been rigorously proven for this model. It is shown that the correlation function demonstrating spontaneous magnetization in the ferromagnetic phase is a continuous function of gH at gH = 0 and therefore, that the spontaneously broken phase enters the (βH, βV) phase plane (no step discontinuity at the edge). Once the phase transition line has entered, it can only exit at another identified edge, which requires the SU(2) gauge theory within also to have a phase transition at finite β. A phase exhibiting spontaneous breaking of the remnant symmetry left after Coulomb gauge fixing, the relevant symmetry here, is non-confining. Easy extension to the SU (N) case implies that the continuum limit of zero-temperature 4D SU (N) lattice gauge theories is not confining, in other words, gluons by themselves do not produce a confinement.

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