We derive maps relating currents and their divergences in non-Abelian U(N) noncom-mutative gauge theory with the corresponding expressions in the ordinary (commutative) description. For the U(1) theory, in the slowly-varying-field approximation, these maps are also seen to connect the star-gauge-covariant anomaly in the noncommutative theory with the standard Adler–Bell–Jackiw anomaly in the co...

We study linear scalar perturbations of black holes in two-dimensional (2D) gravity models with a particular emphasis on Jackiw-Teitelboim (JT) gravity. obtain an exact expression the quasinormal mode frequencies for single horizon JT and then verify it numerically using Horowitz-Hubeny method. For 2D Reissner-Nordstr\"om like solution, we find that massless wave equation reduces to confluent H...

We compute the vacuum fermion current in $(2+1)$ dimensional Jackiw-Rossi model by using $1/m$ expansion. The is expressed through a weighted $\eta$-function with matrix weight. In presence of such weight, usual proof topological nature $\eta(0)$ not longer applicable. Direct computations confirm following surprising result: number induced vortices \textit{not} topological.

In this paper, we apply the functional integral methodology to induce Carroll-Field-Jackiw (CFJ) term in Horava-Lifshitz $z=3$ CPT-violating QED, where Lorentz and CPT breaking for fermion photon sectors is introduced, show that CFJ finite but undetermined.