Discretising differential geometry via a new product on the space of chains (2006)
De Beauce, Vivien, Sen, Siddhartha
A discretisation of differential geometry using the Whitney forms of algebraic topology is consistently extended via the introduction of a pairing on the space of chains. This pairing of chains...
Towards an algebraic approach to the discretisation of fermions (2005)
A discretisation scheme for differential geometry is applied to the problem of constructing lattice actions, the naive and staggered action are thus derived. It is found that after specifying an...
Discretising geometry and preserving topology I: A discrete exterior calculus (2004)
De Beauce, Vivien, Sen, Siddhartha
A discretisation scheme that preserves topological features of a physical problem is extended so that differential geometric structures can be approximated in a consistent way thus giving access to...
Chiral Dirac fermions on the lattice using Geometric Discretisation (2003)
De Beauce, Vivien, Sen, Samik, Sexton, James C.
A new approach to the problem of doubling is presented with the Dirac-Kahler (DK) theory as a starting point and using Geometric Discretisation providing us with a new way of extracting the Dirac...
Chiral Dirac Fermions on the Lattice using Geometric Discretisation (2003)
We propose a discretisation scheme based on the Dirac-Kahler formalism (DK) in which the algebraic relations between continuum operators ${\wedge, d, \star}$ are captured by their discrete analogues,...