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  • 1995-1999  (7)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 178 (1996), S. 507-526 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In the framework of noncommutative geometry we describe spinor fields with nonvanishing winding number on a truncated (fuzzy) sphere. The corresponding field theory actions conserve all basic symmetries of the standard commutative version (space isometries and global chiral symmetry), but due to the noncommutativity of the space the fields are regularized and they contain only a finite number of modes.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Letters in mathematical physics 46 (1998), S. 61-69 
    ISSN: 1573-0530
    Keywords: ultraviolet regularization ; Schwinger model ; noncommutative geometry.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We start from a realization of the enveloping algebra U(u (2|1)) and a sequences of embeddings of su(2) representations. We define the Schwinger model on a noncommutative sphere S2 in this setting, and obtain an ultraviolet regularized model. The effective actions and the chiral anomaly are calculated. Standard results are obtained in the commutative limit.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Letters in mathematical physics 33 (1995), S. 171-181 
    ISSN: 1573-0530
    Keywords: 20C40 ; 22E70
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We introduce the fuzzy analog of spinor bundles over the sphere on which the noncommutative analog of the Dirac operator acts. We construct the complete set of eigenstates including zero modes. In the commutative limit, we recover known results.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Czechoslovak journal of physics 47 (1997), S. 607-619 
    ISSN: 1572-9486
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The results concerning the study of the model formulated within the Grassmann algebra G6 are presented. It is shown under what assumptions the model reproduces basic features of leptons as they follow from the model of the electroweak interactions. Orbital degrees of freedom are ignored throughout the paper.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 185 (1997), S. 155-175 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract: A lattice-type regularization of the supersymmetric field theories on a supersphere is constructed by approximating the ring of scalar superfields by an integer-valued sequence of finite dimensional rings of supermatrices and by using the differencial calculus of non-commutative geometry. The regulated theory involves only finite number of degrees of freedom and is manifestly supersymmetric.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 180 (1996), S. 429-438 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The truncated 4-dimensional sphereS 4 and the action of the self-interacting scalar field on it are constructed. The path integral quantization is performed while simultaneously keeping theSO(5) symmetry and the finite number of degrees of freedom. The usual field theory UV-divergences are manifestly absent.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    International journal of theoretical physics 35 (1996), S. 231-244 
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We describe a self-interacting scalar field on a truncated sphere and perform the quantization using the functional (path) integral approach. The theory possesses full symmetry with respect to the isometries of the sphere. We explicitly show that the model is finite and that UV regularization automatically takes place.
    Type of Medium: Electronic Resource
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