Dual Non-Abelian Yang-Mills Simulations in Four Dimensions (2009)
We present numerical results for pure SU(2) Yang-Mills theory in four space-time dimensions using a novel algorithm based on dually transformed variables. The simulation makes use of a recently...
A Gauge-Independent Mechanism for Confinement and Mass Gap: Part I -- The General Framework (2009)
We propose a gauge-independent mechanism for the area-law behavior of Wilson loop expectation values in terms of worldsheets spanning Wilson loops interacting with the spin foams that contribute to...
A Gauge-Independent Mechanism for Confinement and Mass Gap: Part II -- G=SU(2) and D=3 (2009)
We apply to the case of gauge group G = SU(2) in three dimensions a recently proposed gauge-independent mechanism for confinement that is based on a particular form of the dual spin foam framework...
Recent Developments in Dual Lattice Algorithms (2008)
We review recent progress in numerical simulations with dually transformed SU(2) LGT, starting with a discussion of explicit dual amplitudes and algorithms for SU(2) pure Yang Mills in D=3 and D=4....
A Dual Non-abelian Yang-Mills Amplitude in Four Dimensions (2008)
Cherrington, J. Wade, Christensen, J. Daniel
We derive an explicit formula for the vertex amplitude of dual SU(2) Yang-Mills theory in four dimensions on the lattice, and provide an efficient algorithm (of order j to the fourth power) for its...
A Dual Algorithm for Non-abelian Yang-Mills coupled to Dynamical Fermions (2007)
We extend the dual algorithm recently described for pure, non-abelian Yang-Mills on the lattice to the case of lattice fermions coupled to Yang-Mills, by constructing an ergodic Metropolis algorithm...
Dual Computations of Non-abelian Yang-Mills on the Lattice (2007)
Cherrington, J. Wade, Christensen, J. Daniel, Khavkine, Igor
In the past several decades there have been a number of proposals for computing with dual forms of non-abelian Yang-Mills theories on the lattice. Motivated by the gauge-invariant, geometric picture...
Positivity in Lorentzian Barrett-Crane Models of Quantum Gravity (2005)
Cherrington, J. Wade, Christensen, J. Daniel
The Barrett-Crane models of Lorentzian quantum gravity are a family of spin foam models based on the Lorentz group. We show that for various choices of edge and face amplitudes, including the...
Finiteness and Dual Variables for Lorentzian Spin Foam Models (2005)
We describe here some new results concerning the Lorentzian Barrett-Crane model, a well-known spin foam formulation of quantum gravity. Generalizing an existing finiteness result, we provide a...