Spectral action with zeta function regularization
arXiv:1412.4669 · doi:10.1103/PhysRevD.91.065013
Abstract
In this paper we propose a novel definition of the bosonic spectral action using zeta function regularization, in order to address the issues of renormalizability and spectral dimensions. We compare the zeta spectral action with the usual (cutoff based) spectral action and discuss its origin, predictive power, stressing the importance of the issue of the three dimensionful fundamental constants, namely the cosmological constant, the Higgs vacuum expectation value, and the gravitational constant. We emphasize the fundamental role of the neutrino Majorana mass term for the structure of the bosonic action.
final version to appear in PRD. 20 pages, 3 figures
References in corpus (15)
- No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
- Einstein Gravity from Conformal Gravity
- Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
- Impact of a global quadratic potential on galactic rotation curves
- The Minimal Scale Invariant Extension of the Standard Model
- Resilience of the Spectral Standard Model
- Solution to the ghost problem in fourth order derivative theories
- Inner fluctuations of the spectral action
- Probing Models of Extended Gravity using Gravity Probe B and LARES experiments
- Constraining the Noncommutative Spectral Action via Astrophysical Observations
- Gravitational Waves in the Spectral Action of Noncommutative Geometry
- Spectral dimensions from the spectral action
- Higgs-Dilaton Lagrangian from Spectral Regularization
- The disappearance of causality at small scale in almost-commutative manifolds
- Unification of Coupling Constants, Dimension six Operators and the Spectral Action