17 citations · 31 across the 6 of their papers we have counts for
6 papers
On Geometric Spectral Functionals
Arkadiusz Bochniak, Ludwik Dąbrowski, Andrzej Sitarz +1
We investigate spectral functionals associated with Dirac and Laplace-type differential operators on manifolds, defined via the Wodzicki residue, extending classical results for Di…
An impediment to torsion from spectral geometry
Arkadiusz Bochniak, Ludwik Dąbrowski, Andrzej Sitarz +1
Modifications of standard general relativity that bring torsion into a game have a long-standing history. However, no convincing arguments exist for or against its presence in phys…
Spectral interaction between universes
Arkadiusz Bochniak, Andrzej Sitarz
We derive a perturbative formula for the direct interaction between two four-dimensional geometries. Based on the spectral action principle we give an explicit potential up to the…
Spectral action and the electroweak -terms for the Standard Model without fermion doubling
Arkadiusz Bochniak, Paweł Zalecki, Andrzej Sitarz
We compute the leading terms of the spectral action for a noncommutative geometry model that has no fermion doubling. The spectral triple describing it, which is chiral and allows…
Spectral action and neutrino mass
Andrzej Sitarz
We propose the extension of the spectral action principle to fermions and show that the neutrino mass terms appear then naturally as next-order corrections.
Spectral action on SU_q(2)
B. Iochum, C. Levy, A. Sitarz
The spectral action on the equivariant real spectral triple over \A(SU_q(2)) is computed explicitly. Properties of the differential calculus arising from the Dirac operator are stu…