Isocliny in spinor space and Wilson fermions

Details Isocliny in spinor space and Wilson fermions Isocliny in spinor space and Wilson fermions

2000-02-18

arxiv.org/abs/hep-lat/0002022v1

Nucl.Phys.B581:718-742,2000

Physics

High Energy Physics

High Energy Physics - Lattice

31 pages LaTeX, 2 figures

Scientific paper

10.1016/S0550-3213(00)00284-4

We show that Clifford algebras are closely related to the study of isoclinic subspaces of spinor spaces and, consequently, to the Hurwitz-Radon matrix problem. Isocliny angles are introduced to parametrize gamma matrices, i.e., matrix representations of the generators of finite-dimensional Clifford algebras C(m,n). Restricting the consideration to the Clifford algebra C(4,0), this parametrization is then applied to the study of Dirac traces occurring in Euclidean lattice quantum field theory within the hopping parameter expansion for Wilson fermions.

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