Aiming to search for a signal of space-time noncommutativity, we study quasinormal mode spectrum the Reissner Nordstr\"om black hole in presence deformed structure. In this context noncommutative (NC) deformation scalar field, minimally coupled classical background. Our model is thus semiclassical from beginning and field addition U(1) gauge field. The performed via particularly chosen Killing twist yield geometrical form action, which maintains diffeomorphism invariance manifest, as well...

We consider a noncommutative field theory with space-time $\star$-commutators based on an angular noncommutativity, namely solvable Lie algebra: the Euclidean in two dimension. The $\star$-product can be derived from twist operator and it is shown to invariant under twisted Poincar\'e transformations. In momentum space noncommutativity manifests itself as $\star$-deformed sum for momenta, which allows equivalent definition of terms convolution plane waves. As application, we analyze $\lambda...

In our previous work [M. D. \ifmmode \acute{C}\else \'{C}\fi{}iri\ifmmode \acute{c}\else \'{c}\fi{} et al., Classical Quantum Gravity 35, 175005 (2018)] we constructed a model of noncommutative, charged, and massive scalar field based on the angular twist. Then used this to analyze motion in Reissner-Nordstr\"om black hole background. particular, determined quasinormal mode (QNM) spectrum analytically near-extremal limit. To broaden analysis, paper apply well-defined numerical method,...

Abstract The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example electrodynamics, that is, U(1) gauge minimally coupled a Dirac fermion. We construct L ∞ -algebra this and obtain equations motion, action functional conserved matter current. modifications electric charge conservation law due deformation are described. develop generalization Wick’s theorem, use it compute correlation functions quantum using homological perturbation theory....

Within the framework of noncommutative (NC) deformation gauge field theory by angular twist, we first rederive NC scalar and model from our previous papers then generalize it to second order in Seiberg-Witten (SW) map. It turns out that SW expansion is finite ceases at parameter, ultimately giving rise equation motion for Reissner--Nordstr\"om (RN) metric nonperturbative exact same order. As a further step, show effective put forth constructed work satisfies equations Einstein-Maxwell...

In our previous work we have constructed a model of noncommutative (NC) gravity based on $$SO(2,3)_\star $$ gauge symmetry. this paper extend the by adding matter fields: fermions and U(1) field. Using enveloping algebra approach Seiberg–Witten map construct actions for these fields expand up to first order in noncommutativity (deformation) parameter. Unlike case pure NC gravity, non-vanishing corrections are linear flat space–time limit obtain non-standard Electrodynamics. Finally, discuss...

Some noncommutative (NC) theories posses a certain type of dualities that are implicitly built within their structure. In this paper we establish still another example kind. More precisely, show the U(1) gauge theory coupled to NC scalar field and classical geometry Reissner Nordstrom (RN) is completely equivalent at level equations motion commutative background, different from starting RN background. The new (effective) metric obtained by switching on an additional nonvanishing r-phi...

Black hole (BH) perturbation is followed by a ringdown phase which dominated quasinormal modes (QNM). These may provide key signature of the gravitational waves. The presence deformed spacetime structure distort this signal. In order to account for such effects, we consider toy model consisting noncommutative charged scalar field propagating in realistic black background. We then analyse corresponding dynamics applying methods Hopf algebra deformation Drinfeld twist. latter framework well...

Within the framework of noncommutative (NC) deformation gauge field theory by angular twist, we first rederive NC scalar and model from our previous papers, then generalize it to second order in Seiberg–Witten (SW) map. It turns out that SW expansion is finite ceases at parameter, ultimately giving rise equation motion for Reissner–Nordström (RN) metric nonperturbative exact same order. As a further step, show effective put forth constructed work satisfies equations Einstein–Maxwell gravity,...

According to the standard cosmological model, thermodynamic conditions of early Universe were such that nuclear matter existed in state quark–gluon plasma, rather than hadrons. On other hand, it is generally believed quantum gravity effects become ever more stronger as we approach Big Bang, particular, expect phenomenon space–time noncommutativity will be significant. Thus are led consider properties quarks and gluons noncommutative space–time. For this, employ [Formula: see text] model...

Black hole (BH) perturbation is followed by a ringdown phase which dominated quasinormal modes (QNM). These may provide key signature of the gravitational waves. The presence deformed spacetime structure distort this signal. In order to account for such effects, we consider toy model consisting noncommutative charged scalar field propagating in realistic black background. We then analyse corresponding dynamics applying methods Hopf algebra deformation Drinfeld twist. latter framework well...

The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example electrodynamics, that is, $\mathsf{U}(1)$ gauge minimally coupled a Dirac fermion. We construct $L_\infty$-algebra this and obtain equations motion, action functional conserved matter current. modifications electric charge conservation law due deformation are described. develop generalization Wick's theorem, use it compute correlation functions quantum using homological perturbation...

We study a noncommutative (NC) deformation of charged scalar field, minimally coupled to classical (commutative) Reissner Nordstrom like background. The is performed via particularly chosen Killing twist ensure that the geometry remains undeformed (commutative). An action describing NC field RN manifestly invariant under deformed U(1) gauge symmetry. find equation motion and conclude same obtained from commutative theory in modified geometrical background described by an effective metric....

We study a noncommutative (NC) deformation of charged scalar field, minimally coupled to classical (commutative) Reissner–Nordström-like background. The is performed via particularly chosen Killing twist ensure that the geometry remains undeformed (commutative). An action describing NC field RN manifestly invariant under deformed [Formula: see text] gauge symmetry. find equation motion and conclude same obtained from commutative theory in modified geometrical background described by an...

Motivated by physics of the Lowest Landau Level and Quantum Hall Effect, we investigate motion an electron in a constant background magnetic field [Formula: see text]-Minkowski space-time. Starting from action invariant under noncommutative text] gauge transformations, obtain text]-deformed Dirac equation. Using perturbative approach, calculate corrections to energy levels, mass gyromagnetic ratio up first order deformation parameter text].

Theory founded on SO(2,3)* gauge symmetry. One significant feature of this approach is that gravitational field, given by the vierbein, becomes manifest only after a suitable fixing and it formally united with other fields. Starting from model pure noncommutative gravity, we extend introducing fermions Yang-Mills field. Using enveloping algebra Seiberg-Witten map construct corresponding actions expand them perturbatively in powers canonical noncommutativity parameter ???. Unlike case first...

A way to search for a signal of space-time noncommutativity is study quasinormal mode spectrum the Reissner-Nordstr?m black hole in presence noncommutativity. In this paper, we chose particular NC deformation defined by angular twist. We investigate noncommutative (NC) complex scalar field, minimally coupled with classical (commutative) near extremal background. The theory manifestly invariant under deformed U(1)* gauge symmetry group. Using EOM field RN background, QNM calculated range...

Using the recently developed formalism of braided noncommutative field theory, we construct an explicit example electrodynamics, that is, a $U(1)$ gauge theory coupled to Dirac fermion. We $L_\infty$-algebra this and apply obtain equations motion, action functional conserved matter current. The deformation leads modification charge conservation. Finally, Feynman integral appearing in one-loop contribution vacuum polarization diagram is calculated. There are no non-planar diagrams, but UV/IR...

Some noncommutative (NC) theories posses a certain type of dualities that are implicitly built within their structure. In this paper we establish still another example kind. More precisely, show the U(1) gauge theory coupled to NC scalar field and classical geometry Reissner Nordstrom (RN) is completely equivalent at level equations motion commutative background, different from starting RN background. The new (effective) metric obtained by switching on an additional nonvanishing r-phi...

Using the recently developed formalism of braided noncommutative field theory, we construct an explicit example electrodynamics, that is, a $U(1)$ gauge theory coupled to Dirac fermion. We $L_\infty$-algebra this and apply obtain equations motion, action functional conserved matter current. The deformations leads modification charge conservation. Finally, Feynman integral appearing in one-loop contribution vacuum polarization diagram is calculated. There are no non-planar diagrams, but UV/IR...