scholarly journals Quasi-local update algorithms for numerical simulations of d = 3 SU(2) lattice gauge theory in the dual formulation

2001 ◽  
Vol 94 (1-3) ◽  
pp. 665-669 ◽  
Author(s):  
N.D. Hari Dass
Keyword(s):  
Gauge Theory ◽  
Numerical Simulations ◽  
Lattice Gauge Theory ◽  
Dual Formulation ◽  
Lattice Gauge

scholarly journals UNSTABLE MODES AND CONFINEMENT IN THE LATTICE SCHRÖDINGER FUNCTIONAL APPROACH

1998 ◽  
Vol 13 (11) ◽  
pp. 861-871 ◽  
Author(s):  
PAOLO CEA ◽  
LEONARDO COSMAI
Keyword(s):  
Gauge Theory ◽  
Numerical Simulations ◽  
Effective Action ◽  
Lattice Gauge Theory ◽  
Critical Length ◽  
Functional Approach ◽  
Gauge Invariant ◽  
Lattice Gauge ◽  
Chromomagnetic Field

We analyze the problem of the Nielsen–Olesen unstable modes in the SU(2) lattice gauge theory by means of a recently introduced gauge-invariant effective action. We perform numerical simulations in the case of a constant Abelian chromomagnetic field. We find that for lattice sizes above a certain critical length, the density of effective action shows a behavior compatible with the presence of the unstable modes. We put out a possible relation between the dynamics of the unstable modes and the confinement.

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