Motivated by the recent interest in underground experiments phenomenology (see Refs. 1–
3), we review the main aspects of one specific noncommutative space–time model, based …

We examine the leading order noncommutative corrections to the differential and total cross
sections for e+ e-→ qq¯. After averaging over the Earth's rotation, the results depend on the …

In this work, we formulate a non-commutative (NC) extension of AdS-CFT correspondence
that is manifested in the modification of behavior of a holographic superconductor. The …

We analyze symmetries of the one-loop effective action of ϕ 4 noncommutative field theory.
It is shown that despite the twisted Poincaré invariance of the classical noncommutative …

Field theories on the Groenewold-Moyal plane are studied using the Lehmann-Symanzik-
Zimmermann formalism. The example of real scalar fields is treated in detail. The S-matrix …

It is known that Berry curvature of the band structure of certain crystals can lead to effective
noncommutativity between spatial coordinates. Using the techniques of twisted quantum …

This article reviews the construction and some applications of twisted Poincare-covariant
quantum fields on the Moyal plane. The Drinfel'd twist, which plays a key mathematical role …

In this paper we consider a two-component scalar field theory, with noncommutativity in its
conjugate momentum space. We quantize such a theory in a compact space with the help of …

There are several instances where quantum anomalies of continuous and discrete classical
symmetries play an important role in fundamental physics. Examples come from chiral …

Field theories on the Groenewold-Moyal (GM) plane are studied using the Lehmann-
Symanzik-Zimmermann (LSZ) formalism. The example of real scalar fields is treated in …