264 citations · 1.9k across the 41 of their papers we have counts for
27 papers · 1 filter
Can Seiberg-Witten Map Bypass Noncommutative Gauge Theory No-Go Theorem?
M. Chaichian, P. Presnajder, M. M. Sheikh-Jabbari +1
There are strong restrictions on the possible representations and in general on the matter content of gauge theories formulated on noncommutative Moyal spaces, termed as noncommuta…
Nonperturbative approach to(Wiener) functional integral with interaction
Juraj Bohacik, Peter Presnajder
We propose the another, in principe nonperturbative, method of the evaluation of the Wiener functional integral for term in the action. All infinite summations in the results…
Functional integral with "phi^4" term in the action beyond standard perturbative methods
J. Bohacik, P. Presnajder
We propose the another, in principe nonperturbative, method of the evaluatiom of the Wiener functional integral for "phi^4" term in the action. We find the "generalized" Gelfand-Ya…
New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
M. Chaichian, P. Prešnajder, A. Tureanu
We present a systematic framework for noncommutative (NC) QFT within the new concept of relativistic invariance based on the notion of twisted Poincaré symmetry (with all 10 genera…
Fuzzy Complex Quadrics and Spheres
Brian P. Dolan, Denjoe O'Connor, Peter Presnajder
A matrix algebra is constructed which consists of the necessary degrees of freedom for a finite approximation to the algebra of functions on the family of orthogonal Grassmannians…
Dirac Operators on Coset Spaces
A. P. Balachandran, Giorgio Immirzi, Joohan Lee +1
The Dirac operator for a manifold Q, and its chirality operator when Q is even dimensional, have a central role in noncommutative geometry. We systematically develop the theory of…
Discrete-Time Quantum Field Theory and the Deformed Super Virasoro Algebra
Masud Chaichian, Peter Presnajder
We show that the deformations of Virasoro and super Virasoro algebra, constructed earlier on an abstract mathematical background, emerge after Wick rotation, within an exact treatm…
Matrix models on the fuzzy sphere
Brian P. Dolan, Denjoe O'Connor, Peter Presnajder
Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximation of field theory on the standard commutative sphere. We investigate from this po…
Matrix Models on the Fuzzy Sphere and their Continuum Limits
Brian P. Dolan, Denjoe O'Connor, P. Presnajder
We demonstrate that the UV/IR mixing problems found recently for a scalar theory on the fuzzy sphere are localized to tadpole diagrams and can be overcome by a suitable modif…
Noncommutative Gauge Field Theories: A No-Go Theorem
M. Chaichian, P. Prešnajder, M. M. Sheikh-Jabbari +1
Studying the general structure of the noncommutative (NC) local groups, we prove a no-go theorem for NC gauge theories. According to this theorem, the closure condition of the gaug…
Noncommutative Standard Model: Model Building
M. Chaichian, P. Presnajder, M. M. Sheikh-Jabbari +1
A noncommutative version of the usual electro-weak theory is constructed. We discuss how to overcome the two major problems: 1) although we can have noncommutative U(n) (which we d…
Quantum Theories on Noncommutative Spaces with Nontrivial Topology: Aharonov-Bohm and Casimir Effects
M. Chaichian, A. Demichev, P. Presnajder +2
After discussing the peculiarities of quantum systems on noncommutative (NC) spaces with non-trivial topology and the operator representation of the -product on them, we con…
Aharonov-Bohm Effect in Noncommutative Spaces
M. Chaichian, A. Demichev, P. Presnajder +2
The Aharonov-Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle…
Space-Time Noncommutativity, Discreteness of Time and Unitarity
M. Chaichian, A. Demichev, P. Presnajder +1
Violation of unitarity for noncommutative field theory on compact space-times is considered. Although such theories are free of ultraviolet divergences, they still violate unitarit…
Field Theory on Noncommutative Space-Time and the Deformed Virasoro Algebra
M. Chaichian, A. Demichev, P. Presnajder
We consider a field theoretical model on the noncommutative cylinder which leads to a discrete-time evolution. Its Euclidean version is shown to be equivalent to a model on the com…
The Origin of Chiral Anomaly and the Noncommutative Geometry
Peter Presnajder
We describe the scalar and spinor fields on noncommutative sphere starting from canonical realizations of the enveloping algebra . The gauge extension of…
Quantum Field Theory on the Noncommutative Plane with Symmetry
M. Chaichian, A. Demichev, P. Presnajder
We study properties of a scalar quantum field theory on the two-dimensional noncommutative plane with quantum symmetry. We start from the consideration of a firstly quanti…
Quantum Field Theory on Noncommutative Space-Times and the Persistence of Ultraviolet Divergences
M. Chaichian, A. Demichev, P. Presnajder
We study properties of a scalar quantum field theory on two-dimensional noncommutative space-times. Contrary to the common belief that noncommutativity of space-time would be a key…
A treatment of the Schwinger Model within Noncommutative Geometry
H. Grosse, P. Presnajder
A free spinor field on a noncommutative sphere is described starting from a canonical realization of the enveloping algebra U(u(2|1)). The gauge extension of the model - the Schwin…
On Finite 4D Quantum Field Theory in Non-Commutative Geometry
H. Grosse, C. Klimcik, P. Presnajder
The truncated 4-dimensional sphere and the action of the self-interacting scalar field on it are constructed. The path integral quantization is performed while simultaneously…
N=2 superalgebra and non-commutative geometry
H. Grosse, C. Klimcik, P. Presnajder
A construction of supersymmetric field-theoretical models in non-commutative geometry is reviewed. The underlying superstructure of the models is encoded in superalgebra…
-Virasoro Algebra and the Point-Splitting
M. Chaichian, P. Prešnajder
It is shown that a particular -deformation of the Virasoro algebra can be interpreted in terms of the -local field and the Schwinger-like point-splitted Virasoro curre…
Simple field theoretical models on noncommutative manifolds
H. Grosse, C. Klimcik, P. Presnajder
We review recent progress in formulating two-dimensional models over noncommutative manifolds where the space-time coordinates enter in the formalism as non-commuting matrices. We…
Topologically nontrivial field configurations in noncommutative geometry
H. Grosse, C. Klimcik, P. Presnajder
In the framework of noncommutative geometry we describe spinor fields with nonvanishing winding number on a truncated (fuzzy) sphere. The corresponding field theory actions conserv…