7 citations · 18 across the 11 of their papers we have counts for
13 papers
Positive mass gap of quantum Yang-Mills Fields
Adrian P. C. Lim
We construct a 4-dimensional quantum field theory on a Hilbert space, dependent on a simple Lie Algebra of a compact Lie group, that satisfies Wightman's axioms. This Hilbert space…
An unitary representation of inhomogeneous using surfaces in
Adrian P. C. Lim
We will construct a non-separable Hilbert space for which the inhomogeneous acts on it unitarily. Each vector in this Hilbert space is described by a (rect…
Wilson Area Law formula on
Adrian P. C. Lim
Let be the Lie Algebra of a compact semi-simple gauge group. For a -valued 1-form , consider the Yang-Mills action \begin{equation} S_{\rm YM}(A) =…
Loop representation of Quantum Gravity
Adrian P. C. Lim
A hyperlink is a finite set of non-intersecting simple closed curves in , each curve is either a matter or geometric loop. We co…
Quantized Curvature in Loop Quantum Gravity
Adrian P. C. Lim
A hyperlink is a finite set of non-intersecting simple closed curves in . Let be an orientable surface in . The…
Path Integral Quantization of Volume
Adrian P. C. Lim
A hyperlink is a finite set of non-intersecting simple closed curves in . Let be a compact set inside . The dynamical variables in…