K. Scharnhorst: Isocliny in spinor space and Wilson fermions. Nuclear Physics B 581[PM]:3(2000)718-742 (DOI: 10.1016/S0550-3213(00)00284-4) [arXiv:hep-lat/0002022]. [INSPIRE record]

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.

The article is cited in:

• M. Limmer, Ch. Gattringer, V. Hermann: Fermion loop simulations in 2-d lattice theories: Results and limitations. Proceedings of Science (PoS) (Lattice 2007)268, 7 pp. ( https://pos.sissa.it/042/268/pdf ) [arXiv:0710.2794]. The article is part of: G. Bali, V. Braun, Ch. Gattringer, M. Göckeler, A. Schäfer, P. Weisz, T. Wettig (Eds.): The XXV International Symposium on Lattice Field Theory (LATTICE 2007), July 30 - August 4, 2007, Regensburg, Germany. Proceedings of Science (PoS) (Lattice 2007) ( http://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=42 ).

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• F. Synatschke: Über eine Beziehung zwischen Confinement und chiraler Symmetriebrechung [On a relationship between confinement and chiral symmetry breaking]. Diploma Thesis, Friedrich-Schiller-Universität Jena, Jena, 2007, 121 pp. ( https://www.tpi.uni-jena.de/qfphysics/homepage/wipf/abschlussarbeiten/synatschke_diplom.pdf ). [in German]

© K. Scharnhorst . Document last modified: June 8, 2023