This paper explains the systematics of the generation of families of spectra for the -symmetric quantum-mechanical Hamiltonians H=p(2)+x(2)(ix)(ε), H=p(2)+(x(2))(δ) and H=p(2)-(x(2))(μ). In addition, it contrasts the results obtained with those found for a bosonic scalar field theory, in particular in one dimension, highlighting the similarities to and differences from the quantum-mechanical ca...

Using noncommutative geometry, the standard tools of differential geometry can be extended to a broad class of spaces whose coordinates are noncommuting operators acting on a Hilbert space. In the simplest case of coordinates being matrix valued functions on space-time, the standard model of particle physics can be reconstructed out of a few basic principles. Following these ideas, we investiga...

The dynamics of fermionic unparticles is developed from first principles. It is shown that any unparticle, whether fermionic or bosonic, can be recast in terms of a canonically quantized field, but with non-local interaction terms. We further develop a possible gauge theory for fermionic unparticles. Computing the consequent contribution of un-fermions to the β function of the theory, it is sho...

In the setting of vector-valued quantum fields obeying a linear wave-equation in a globally hyperbolic, stationary spacetime, it is shown that the two-point functions of passive quantum states (mixtures of groundor KMS-states) fulfill the microlocal spectrum condition (which in the case of the canonically quantized scalar field is equivalent to saying that the two-point function is of Hadamard ...

We analyze families of particle detector models that linearly couple to different kinds fermionic and bosonic fields. also study the response these detectors anti-particle excitations field. propose a simple linear complex scalar model captures fundamental features field similarly how Unruh-DeWitt light matter interaction. discuss why we do not need limit ourselves quadratic commonly employed i...

We study the properties of gravity and bulk fields living in a torsion warped braneworld. The is driven by background vector whose norm provides source for cosmological constant. For as derivative scalar field, we find new isotropic anisotropic thick brane geometries. analyse features bosonic fermionic this standing wave scenarios. nonminimal coupling between field geometry leading to modificat...

This work examines force modeling and softwarebased commutation for closed-loop control of planar linear motors, motivated by the need for a robust and versatile planar robot for precision assembly. The approach taken is to make measurements of the static and dynamic force capabilities of the motor as directly as possible, and determine the applicability of simple models commonly used. Measurem...

We study the loop corrections to the scalar propagator and the fermionic self-energy for the mass dimension one fermionic dark matter with the Yukawa interaction. We find, in the former case, there is a non-vanishing Lorentz-violating term while the later is Lorentz-invariant. Our study of the fermionic loop correction shows that unitarity demands the fermionic mass must be at least half of the...

Starting from a manifestly Lorentz– and diffeomorphism–invariant classical action we perform a perturbative derivation of the gravitational anomalies for chiral bosons in 4n + 2 dimensions. The manifest classical invariance is achieved using a newly developed method based on a scalar auxiliary field and two new bosonic local symmetries. The resulting anomalies coincide with the ones predicted b...

At the level of the bosonic fields, we construct consistent Kaluza–Klein reductions of D = 11 supergravity on Σ3 × S, where Σ3 = H/Γ, S/Γ or R/Γ where Γ is a discrete group of isometries. The result is the bosonic content of an N = 2 D = 4 gauged supergravity with a single vector multiplet and two hypermultiplets, whose scalar fields parametrise SU(1, 1)/U(1)×G2(2)/SO(4). When Σ3 = H/Γ the D = ...