Quantum Anomalies (in) Matter

Conductance anomalies in quantum wires

We study the conductance threshold of clean nearly straight quantum wires in which an electron is bound. We show that such a system exhibits spin-dependent conductance structures on the rising edge to the first conductance plateau, one near 0.25(2e 2 /h), related to a singlet resonance, and one near 0.75(2e 2 /h), related to a triplet resonance. As a quantitative example we solve exactly the sc...

Anomalies , Unitarity and Quantum Irreversibility

The trace anomaly in external gravity is the sum of three terms at criticality: the square of the Weyl tensor, the Euler density and 2R, with coefficients, properly normalized, called c, a and a ′ , the latter being ambiguously defined by an additive constant. Unitarity and positivity properties of the induced actions allow us to show that the total RG flows of a and a ′ are equal and therefore...

Anomalies in PT -Symmetric Quantum Field Theory

It is shown that a version of PT -symmetric electrodynamics based on an axial-vector current coupling massless fermions to the photon possesses anomalies and so is rendered nonrenormalizable. An alternative theory is proposed based on the conventional vector current constructed from massive Dirac fields, but in which the PT transformation properties of electromagnetic fields are reversed. Such ...

Matter in Loop Quantum Gravity

Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense. The spirit of background independence also requires a nonstandard quantum representation of matter. While loop quantization of standard model fields has been proposed, detail study of its implications is no...

Extreme H isotopic anomalies in chondritic organic matter