Noncommutative quantum field theory
View article
Aspects of phase-space noncommutative quantum mechanics Open
In this work some issues in the context of Noncommutative Quantum Mechanics\n(NCQM) are addressed. The main focus is on finding whether symmetries present\nin Quantum Mechanics still hold in the phase-space noncommutative version. In\npart…
View article
Quasinormal modes and shadow of noncommutative black hole Open
In this paper we investigate quasinormal modes (QNM) for a scalar field around a noncommutative Schwarzschild black hole. We verify the effect of noncommutativity on quasinormal frequencies by applying two procedures widely used in the lit…
View article
Shadow of noncommutative geometry inspired black hole Open
In this paper, the shadow casted by the rotating black hole inspired by noncommutative geometry is investigated. In addition to the dimensionless spin parameter a/M-0 with M-0 black hole mass and inclination angle i, the dimensionless nonc…
View article
Quanta of Geometry: Noncommutative Aspects Open
In the construction of spectral manifolds in noncommutative geometry, a higher degree Heisenberg commutation relation involving the Dirac operator and the Feynman slash of real scalar fields naturally appears and implies, by equality with …
View article
Charged thin-shell gravastars in noncommutative geometry Open
In this paper we construct a charged thin-shell gravastar model within the\ncontext of noncommutative geometry. To do so, we choose the interior of the\nnonsingular de Sitter spacetime with an exterior charged noncommutative\nsolution by c…
View article
Entangled squeezed states in noncommutative spaces with minimal length uncertainty relations Open
We provide an explicit construction of entangled states in a noncommutative space with nonclassical states, particularly with the squeezed states. Noncommutative systems are found to be more entangled than the usual quantum mechanical syst…
View article
An Asymmetric Noncommutative Torus Open
We introduce a family of spectral triples that describe the curved noncommutative two-torus. The relevant family of new Dirac operators is given by rescaling one of two terms in the flat Dirac operator. We compute the dressed scalar curvat…
View article
Noncommutative field theory from angular twist Open
We consider a noncommutative field theory with space-time $\star$-commutators based on an angular noncommutativity, namely a solvable Lie algebra: the Euclidean in two dimension. The $\star$-product can be derived from a twist operator and…
View article
Noncommutative de Sitter and FRW spaces Open
\n Several versions of fuzzy four-dimensional de Sitter space are constructed using the noncommutative frame formalism. Although all noncommutative spacetimes which are found have commutative de Sitter metric as a classical limit, the alge…
View article
Energy-dependent noncommutative quantum mechanics Open
We propose a model of dynamical noncommutative quantum mechanics in which the\nnoncommutative strengths, describing the properties of the commutation\nrelations of the coordinate and momenta, respectively, are arbitrary energy\ndependent f…
View article
Parameters of noncommutativity in Lie-algebraic noncommutative space Open
We find condition on the parameters of noncommutativity on which a list of\nimportant results can be obtained in a space with Lie-algebraic\nnoncommutativity. Namely, we show that the weak equivalence principle is\nrecovered in the space, …
View article
The κ-(A)dS noncommutative spacetime Open
The (3+1)-dimensional $\\kappa$-(A)dS noncommutative spacetime is explicitly\nconstructed by quantizing its semiclassical counterpart, which is the\n$\\kappa$-(A)dS Poisson homogeneous space. This turns out to be the only\npossible general…
View article
The canonical trace and the noncommutative residue on the noncommutative torus Open
Using a global symbol calculus for pseudodifferential operators on tori, we build a canonical trace on classical pseudodifferential operators on noncommutative tori in terms of a canonical discrete sum on the underlying toroidal symbols. W…
View article
Probing noncommutative theories with quantum optical experiments Open
One of the major difficulties of modern science underlies at the unification of general relativity and quantum mechanics. Different approaches towards such theory have been proposed. Noncommutative theories serve as the root of almost all …
View article
Observables and dispersion relations in κ-Minkowski spacetime Open
We revisit the notion of quantum Lie algebra of symmetries of a\nnoncommutative spacetime, its elements are shown to be the generators of\ninfinitesimal transformations and are naturally identified with physical\nobservables. Wave equation…
View article
Noncommutative correction to the entropy of Schwarzschild black hole with GUP Open
In this paper we study through tunneling formalism, the effect of noncommutativity to Hawking radiation and the entropy of the noncommutative Schwarzschild black hole. In our model we have considered the noncommutativity implemented via th…
View article
Ample group action on AS-regular algebras and noncommutative graded isolated singularities Open
In this paper, we introduce a notion of ampleness of a group action $G$ on a right noetherian graded algebra $A$, and show that it is strongly related to the notion of $A^G$ to be a graded isolated singularity introduced by the second auth…
View article
Two-dimensional noncommutative gravitational quantum well Open
In this paper we consider two kinds of noncommutative space-time commutation\nrelations in two-dimensional configuration space and feature the absolute value\nof the minimal length from the generalized uncertainty relations associated to\n…
View article
The Standard Model as an extension of the noncommutative algebra of forms Open
The Standard Model of particle physics can be deduced from a small number of axioms within Connes' noncommutative geometry (NCG). Boyle and Farnsworth [New J. Phys. 16 (2014) 123027] proposed to interpret Connes' approach as an algebra ext…
View article
Bell operator and Gaussian squeezed states in noncommutative quantum mechanics Open
One examines putative corrections to the Bell operator due to the noncommutativity in the phase-space. Starting from a Gaussian squeezed envelop whose time evolution is driven by commutative (standard quantum mechanics) and noncommutative …
View article
Noncommutative Choquet Theory Open
We introduce a new and extensive theory of noncommutative convexity along with a corresponding theory of noncommutative functions. We establish noncommutative analogues of the fundamental results from classical convexity theory, and apply …
View article
Braided symmetries in noncommutative field theory Open
We give a pedagogical introduction to L ∞ -algebras and their uses in organising the symmetries and dynamics of classical field theories, as well as of the conventional noncommutative gauge theories that arise as low-energy effective field…
View article
Light cone in a quantum spacetime Open
Noncommutative spacetimes are a proposed effective description of the low-energy regime of Quantum Gravity. Defining the microcausality relations of a scalar quantum field theory on the $\kappa$-Minkowski noncommutative spacetime allows us…
View article
The Standard Model in noncommutative geometry and Morita equivalence Open
We discuss some properties of the spectral triple (A_F,H_F,D_F,J_F,\gamma_F) describing the internal space in the noncommutative geometry approach to the Standard Model, with A_F=\mathbb C \oplus \\mathbb H \oplus M_3 (\mathbb C) . We show…
View article
Notes on holographic Schwinger effect Open
We use the method of evaluating the decay rate in terms of the imaginary part of a probe brane action to study the holographic Schwinger effect. In the confining D3-branes case, we find that the Schwinger effect occurs at energy scales hig…
View article
Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics Open
An analogy with real Clifford algebras on even-dimensional vector spaces suggests assigning an ordered pair (s, t) of space and time dimensions (or equivalently an ordered pair (m, n) of metric and KO dimensions) modulo 8 to any algebraic …
View article
A Borel–Weil theorem for the quantum Grassmannians Open
We establish a noncommutative generalisation of the Borel–Weil theorem for the celebrated Heckenberger–Kolb calculi of the quantum Grassmannians. The result is formulated in the framework of quantum principal bundles and noncommutative com…
View article
Hair formation in the background of noncommutative reflecting stars Open
We investigate scalar condensations around noncommutative compact reflecting\nstars. We find that the neutral noncommutative reflecting star cannot support\nthe existence of scalar field hairs. In the charged noncommutative reflecting\nsta…
View article
Deformed symmetries in noncommutative and multifractional spacetimes Open
We clarify the relation between noncommutative spacetimes and multifractional\ngeometries, two quantum-gravity-related approaches where the fundamental\ndescription of spacetime is not given by a classical smooth geometry. Despite\ntheir d…
View article
Four‐Dimensional Gravity on a Covariant Noncommutative Space (II) Open
Based on the construction of the 4‐dim noncommutative gravity model described in our previous work, first, a more extended description of the covariant noncommutative space (fuzzy 4‐dim de Sitter space), which accommodates the gravity mode…