Classification of quantum spinor fields according to quantum bilinear covariants is
introduced in a context of quantum Clifford algebras on Minkowski spacetime. Once the …

We exhibit a Hopf superalgebra structure of the algebra of field operators of quantum field
theory (QFT) with the normal product. Based on this we construct the operator product and …

A particular orthogonal map on a finite-dimensional real quadratic vector space (V, Q) with a
non-degenerate quadratic form Q of any signature (p, q) is considered. It can be viewed as a …

A combinatorial formula of Rota and Stein is taken to perform Wick reordering in quantum
field theory. Wick's theorem becomes a Hopf algebraic identity called Cliffordization. The …

An analysis of symmetric function theory is given from the perspective of the underlying Hopf
and bi-algebraic structures. These are presented explicitly in terms of standard symmetric …

Quantum Clifford Algebras (QCA), ie Clifford Hopf gebras based on bilinear forms of
arbitrary symmetry, are treated in a broad sense. Five alternative constructions of QCAs are …

Clifford geometric algebras of multivectors are treated in detail. These algebras are built
over a graded space and exhibit a grading or multivector structure. The careful study of the …

There appears to be three, perhaps related, ways of approaching the nature of vacuum
energy. The first is to say that it is just the lowest energy state of a given, usually quantum …

Deformation quantization is a powerful tool for quantizing theories with bosonic and
fermionic degrees of freedom. The star products involved generate the mathematical …

Clifford algebras are naturally associated with quadratic forms. These algebras are ℤ 2-
graded by construction. However, only a ℤ n-gradation induced by a choice of a basis, or …