Loop States in Lattice Gauge Theories

Details Loop States in Lattice Gauge Theories Loop States in Lattice Gauge Theories

2005-10-24

arxiv.org/abs/hep-lat/0510101v2

Phys.Lett. B640 (2006) 292-296

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 2 figures, typos corrected

Scientific paper

10.1016/j.physletb.2006.08.022

We solve the Gauss law as well as the corresponding Mandelstam constraints of (d+1) dimensional SU(2) lattice gauge theory in terms of harmonic oscillator prepotentials. This enables us to explicitly construct a complete orthonormal and manifestly gauge invariant basis in the physical Hilbert space. Further, we show that this gauge invariant description represents networks of unoriented loops carrying certain non-negative abelian fluxes created by the harmonic oscillator prepotentials. The loop network is characterized by $3(d-1)$ gauge invariant integers at every lattice site which is the number of physical degrees of freedom. Time evolution involves local fluctuations of these loops. The loop Hamiltonian is derived. The generalization to SU(N) gauge group is discussed.

Affiliated with

Also associated with

No associations

Rating

Loop States in Lattice Gauge Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Loop States in Lattice Gauge Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Loop States in Lattice Gauge Theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-522652