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Quantum Clifford Hopf Gebra for Quantum Field Theory
Bertfried Fauser
We give arguments for the necessity to employ Quantum Clifford Hopf Gebras in quantum field theory. The role of the antipode is examined, Feynman diagrams are re-interpreted as tan…
Regularization of Non-Linear Spinor Field Models by Discrete Symmetries
Bertfried Fauser, Heinz Dehnen
We generalize a regularization method of Stumpf 1984 in the case of non-linear spinor field models to fourth order theories and to non-scalar interactions. The involved discrete sy…
Isospin from Spin by Compositenes
Bertfried Fauser, Heinz Dehnen
We propose a new method to generate the internal isospin degree of freedom by non-local bound states. This can be seen as motivated by Bargmann-Wigner like considerations, which or…
Vertex functions and generalized normal-ordering by triple systems in non-linear spinor field models
Bertfried Fauser
Triple systems are closely related to Yang-Baxter symmetries. Utilizing a non-parameter-dependent triple product, we derive the BCS interaction. The enlargement of the notion of sy…
Dirac theory from a field theoretic point of view
Bertfried Fauser
Several complications arise in quantum field theory because of the infinite many degrees of freedom. However, the distinction between one-particle and many-particle effects -- main…
Positronium as an example of algebraic composite calculations
Bertfried Fauser, Harald Stumpf
The functional quantum field theory, developed by Stumpf, provides the possibility to derive the quantum dynamics of a positronium gas from Coulomb interacting electrons and positr…