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
Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Feynman diagrams (81T18) Quantization in field theory; cohomological methods (81T70) Applications of manifolds of mappings to the sciences (58D30) Weak interaction in quantum theory (81V15)
Related Items (58)
A natural basis for spinor and vector fields on the noncommutative sphere ⋮ STABILITY OF THE FUZZY SPHERE SOLUTION FROM MATRIX MODEL ⋮ DOUBLY SPECIAL RELATIVITY VERSUS κ-DEFORMATION OF RELATIVISTIC KINEMATICS ⋮ Spectral triple with real structure on fuzzy sphere ⋮ The phase diagram of scalar field theory on the fuzzy disc ⋮ The x i -eigenvalue problem on some new fuzzy spheres ⋮ On finite 4D quantum field theory in non-commutative geometry ⋮ Fuzzy circle and new fuzzy sphere through confining potentials and energy cutoffs ⋮ Spontaneous symmetry breaking and geometry from the spectral viewpoint ⋮ Finite gauge theory on fuzzy \(\mathbb CP^2\) ⋮ Kaluza-Klein pistons with noncommutative extra dimensions ⋮ Geometric Dirac operator on the fuzzy sphere ⋮ Fuzzy hyperspheres via confining potentials and energy cutoffs ⋮ A PROPOSAL FOR A NONPERTURBATIVE REGULARIZATION OF $\mathcal{N} = 2 SUSY 4D GAUGE THEORY ⋮ On localized and coherent states on some new fuzzy spheres ⋮ Fuzzy scalar field theory as a multitrace matrix model. ⋮ JORDANIAN QUANTUM SPHERES ⋮ Probing the fuzzy sphere regularisation in simulations of the 3d \(\lambda\phi^4\) model ⋮ \(q\)-deformed superalgebras ⋮ Quantized gauge theory on the fuzzy sphere as random matrix model ⋮ A natural basis of states for the noncommutative sphere and its Moyal bracket ⋮ Fuzzy scalar field theory as matrix quantum mechanics ⋮ Localization for Yang-Mills theory on the fuzzy sphere ⋮ NON-COMMUTATIVE GAUGE THEORY ON FUZZY ℂP2 ⋮ Quantum field theory on the noncommutative plane with Eq(2) symmetry ⋮ The origin of chiral anomaly and the noncommutative geometry ⋮ On the quantum structure of space-time, gravity, and higher spin in matrix models ⋮ Fuzzy and discrete black hole models* ⋮ Laplace-Runge-Lenz vector in quantum mechanics in noncommutative space ⋮ CASIMIR EFFECT AND FUZZY SPHERE AS EXTRA DIMENSIONAL SPACE ⋮ Fuzzy complex projective spaces and their star-products ⋮ Noncommutative vortices and instantons from generalized Bose operators ⋮ Perturbative dynamics on the fuzzy S\(^2\) and RP\(^2\) ⋮ Quantum field theory on noncommutative spaces ⋮ Ultraviolet finite noncommutative theories ⋮ Monopole bundles over fuzzy complex projective spaces ⋮ FUZZY COMPLEX GRASSMANNIAN SPACES AND THEIR STAR PRODUCTS ⋮ Field theory amplitudes in a space with \(SU(2)\) fuzziness ⋮ \(q\)-exponentials on quantum spaces ⋮ Natural cutoffs via compact symplectic manifolds ⋮ \(q\)-deformed quantum Lie algebras ⋮ Matrix geometries and matrix models ⋮ One-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 model ⋮ Quantum field theory on noncommutative space-times and the persistence of ultraviolet divergences ⋮ Second moment fuzzy-field-theory-like matrix models ⋮ Beyond second-moment approximation in fuzzy-field-theory-like matrix models ⋮ THE FLUX OF NONCOMMUTATIVE U(1) INSTANTON THROUGH THE FUZZY SPHERES ⋮ The fuzzy supersphere ⋮ Quantum field theory on quantized Bergman domain ⋮ Spectral Noncommutative Geometry and Quantization ⋮ ANALYSIS ON q-DEFORMED QUANTUM SPACES ⋮ Field theories on deformed spaces ⋮ Hermitian analyticity, IR/UV mixing and unitarity of noncommutative field theories ⋮ Quantum stabilization of compact space by extra fuzzy space ⋮ From scalar fields on quantum spaces to blobbed topological recursion ⋮ DIFFERENTIAL CALCULUS ON FUZZY SPHERE AND SCALAR FIELD ⋮ A quantum algebraic description of D-branes on group manifolds
Cites Work
This page was built for publication: Finite quantum field theory in noncommutative geometry