Lattice SU(2) theory projected on scalar particles
Russian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation
Lattice measurements provide a unique possibility to directly study the anatomy of vacuum fluctuations, that is, their action and entropy. In this review, we discuss properties of vacuum fluctuations that are naturally called magnetic monopoles, or scalar particles. Magnetic monopoles are defined on the lattice as closed trajectories. One of the basic observations is that the length of these trajectories is measured in physical units (fermi) and does not depend on the lattice spacing a. Their thickness, on the other hand, determined in terms of the distribution of the non-Abelian action, is of order of the resolution a. Moreover, these infinitely thin — within presently available resolution — trajectories are unified into infinitely thin surfaces.