Finite quantum field theory in noncommutative geometry

From MaRDI portal
Publication:1912242

DOI10.1007/BF02083810zbMath0846.58015OpenAlexW2118493427MaRDI QIDQ1912242

P. Prešnajder, Ctirad Klimčík, Harald Grosse

Publication date: 6 May 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02083810




Related Items (58)

A natural basis for spinor and vector fields on the noncommutative sphereSTABILITY OF THE FUZZY SPHERE SOLUTION FROM MATRIX MODELDOUBLY SPECIAL RELATIVITY VERSUS κ-DEFORMATION OF RELATIVISTIC KINEMATICSSpectral triple with real structure on fuzzy sphereThe phase diagram of scalar field theory on the fuzzy discThe x i -eigenvalue problem on some new fuzzy spheresOn finite 4D quantum field theory in non-commutative geometryFuzzy circle and new fuzzy sphere through confining potentials and energy cutoffsSpontaneous symmetry breaking and geometry from the spectral viewpointFinite gauge theory on fuzzy \(\mathbb CP^2\)Kaluza-Klein pistons with noncommutative extra dimensionsGeometric Dirac operator on the fuzzy sphereFuzzy hyperspheres via confining potentials and energy cutoffsA PROPOSAL FOR A NONPERTURBATIVE REGULARIZATION OF $\mathcal{N} = 2 SUSY 4D GAUGE THEORYOn localized and coherent states on some new fuzzy spheresFuzzy scalar field theory as a multitrace matrix model.JORDANIAN QUANTUM SPHERESProbing the fuzzy sphere regularisation in simulations of the 3d \(\lambda\phi^4\) model\(q\)-deformed superalgebrasQuantized gauge theory on the fuzzy sphere as random matrix modelA natural basis of states for the noncommutative sphere and its Moyal bracketFuzzy scalar field theory as matrix quantum mechanicsLocalization for Yang-Mills theory on the fuzzy sphereNON-COMMUTATIVE GAUGE THEORY ON FUZZY ℂP2Quantum field theory on the noncommutative plane with Eq(2) symmetryThe origin of chiral anomaly and the noncommutative geometryOn the quantum structure of space-time, gravity, and higher spin in matrix modelsFuzzy and discrete black hole models*Laplace-Runge-Lenz vector in quantum mechanics in noncommutative spaceCASIMIR EFFECT AND FUZZY SPHERE AS EXTRA DIMENSIONAL SPACEFuzzy complex projective spaces and their star-productsNoncommutative vortices and instantons from generalized Bose operatorsPerturbative dynamics on the fuzzy S\(^2\) and RP\(^2\)Quantum field theory on noncommutative spacesUltraviolet finite noncommutative theoriesMonopole bundles over fuzzy complex projective spacesFUZZY COMPLEX GRASSMANNIAN SPACES AND THEIR STAR PRODUCTSField theory amplitudes in a space with \(SU(2)\) fuzziness\(q\)-exponentials on quantum spacesNatural cutoffs via compact symplectic manifolds\(q\)-deformed quantum Lie algebrasMatrix geometries and matrix modelsOne-Loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ℝ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi /></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix modelQuantum field theory on noncommutative space-times and the persistence of ultraviolet divergencesSecond moment fuzzy-field-theory-like matrix modelsBeyond second-moment approximation in fuzzy-field-theory-like matrix modelsTHE FLUX OF NONCOMMUTATIVE U(1) INSTANTON THROUGH THE FUZZY SPHERESThe fuzzy supersphereQuantum field theory on quantized Bergman domainSpectral Noncommutative Geometry and QuantizationANALYSIS ON q-DEFORMED QUANTUM SPACESField theories on deformed spacesHermitian analyticity, IR/UV mixing and unitarity of noncommutative field theoriesQuantum stabilization of compact space by extra fuzzy spaceFrom scalar fields on quantum spaces to blobbed topological recursionDIFFERENTIAL CALCULUS ON FUZZY SPHERE AND SCALAR FIELDA quantum algebraic description of D-branes on group manifolds



Cites Work


This page was built for publication: Finite quantum field theory in noncommutative geometry