# Isocliny in spinor space and Wilson fermions

Source: [Isocliny in spinor space and Wilson fermions](<https://www.sota2.com/research/paper/68fa23292c2a3760193937f1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T06:06:11.678Z

Authors: K. Scharnhorst

Published: 2000-02-18T15:06:50.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-lat/0002022>)

[PDF](<https://arxiv.org/pdf/hep-lat/0002022.pdf>)