6 citations · 6 across the 4 of their papers we have counts for
4 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…