Spectral functionals via Wodzicki residue recover geometric tensors including volume, metric, curvature and torsion on manifolds with torsion and yield chiral invariants.
Spectral action for torsion with and without boundaries
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We derive a commutative spectral triple and study the spectral action for a rather general geometric setting which includes the (skew-symmetric) torsion and the chiral bag conditions on the boundary. The spectral action splits into bulk and boundary parts. In the bulk, we clarify certain issues of the previous calculations, show that many terms in fact cancel out, and demonstrate that this cancellation is a result of the chiral symmetry of spectral action. On the boundary, we calculate several leading terms in the expansion of spectral action in four dimensions for vanishing chiral parameter $\theta$ of the boundary conditions, and show that $\theta=0$ is a critical point of the action in any dimension and at all orders of the expansion.
verdicts
UNVERDICTED 2representative citing papers
Review of spectral noncommutative geometry applied to the Standard Model, including bosonic and fermionic actions, Euclidean vs Lorentz issues, and going beyond the SM.
citing papers explorer
-
On Geometric Spectral Functionals
Spectral functionals via Wodzicki residue recover geometric tensors including volume, metric, curvature and torsion on manifolds with torsion and yield chiral invariants.
-
Spectral Noncommutative Geometry, Standard Model and all that
Review of spectral noncommutative geometry applied to the Standard Model, including bosonic and fermionic actions, Euclidean vs Lorentz issues, and going beyond the SM.