From the 2 of 4 linked papers with an AI index.
4 papers
Fermion-doubling problem in Chiral discretizations of Quantum field theory: Definitive proof, Fixing, and Computation of two-point correlation function
Dogukan Bakircioglu, Pablo Arnault
The paper provides a rigorous proof that the Dirac quantum cellular automaton suffers from fermion doubling (though less severely than standard lattice gauge theories), derives its…
Flavoured Lattice Schwinger Model with Chiral Anomaly
Dogukan Bakircioglu
The paper proposes a flavoured lattice Schwinger model that resolves fermion doubling by staggering a Z₂ flavour degree of freedom, preserving an exact axial U(1) symmetry, and dem…
Quantum theory over dual-complex numbers
P. Arrighi, D. Bakircioglu, N. L. Houyet
We take quantum theory and replace by where , i.e. we extend quantum theory to the ring of dual complex numbers. The aim is…
Fermion Doubling in Quantum Cellular Automata
Dogukan Bakircioglu, Pablo Arnault, Pablo Arrighi
A Quantum Cellular Automaton (QCA) is essentially an operator driving the evolution of particles on a lattice, through local unitaries. Because , QCAs constitute a…