Page 1 Mathematics and Its Applications Albert Crumeyrolle Orthogonal and Symplectic
Clifford Algebras Spinor Structures Springer-Science+Business Media, BV Page 2 Orthogonal …

The Kähler-Dirac fermion, recognized as an elegant geometric approach, offers an
alternative to traditional representations of relativistic fermions. Recent studies have …

The Higgs phenomenon occurs in theories of gravity in which the connection is an
independent dynamical variable. The role of order parameters is played by the soldering …

We investigate some aspects of the renormalization group flow of gravity in the presence of
fermions, which have remained somewhat puzzling so far. The first is the sign of the …

Исследованы волновые уравнения элементарных частиц в присутствии внешних
гравитационных полей, описываемых как псевдориманова структура пространства …

A quantization of field theory based on the De Donder-Weyl (DW) covariant Hamiltonian
formulation is discussed. A hypercomplex extension of quantum mechanics, in which the …

This paper reviews Clifford algebras in mathematics and in theoretical physics. In particular,
the little-known differential form realization is constructed in detail for the four-dimensional …

In this paper, we derive an expanded Dirac equation for a massive fermion doublet, which
has in addition to the particle/antiparticle and spin-up/spin-down degrees of freedom …

We propose a new formulation which realizes exact twisted supersymmetry for all the
supercharges on a lattice by twisted superspace formalism. We show explicit examples of …

Following suggestions of Schönberg and Bohm, we study the tensorial phase space
representation of the Dirac and Feynman-Gell-Mann equations in terms of the complex Dirac …