On the significance of the vector potential squared.
We consider the gauge potential A and argue that the minimum value of the volume integral of A2 (in Euclidean space) may have physical meaning, particularly in connection with the existence of topological structures. A lattice simulation comparing compact and noncompact "photodynamics" shows a jump in this quantity at the phase transition, supporting this idea.
Gubarev
F V
FV
Institute of Theoretical and Experimental Physics, Moscow, Russia.
Stodolsky
L
L
Zakharov
V I
VI