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Induced QCD from the noncommutative geometry of a supermanifold (1995)

Kalkkinen, Jussi

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 36 (1995), S. 2727-2740

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: The noncommutative geometry of a two-leaf Parisi–Sourlas supermanifold in Connes' formalism using different K cycles over the Grassmann algebra-valued functions on the supermanifold is studied. We find that the curvature of the trivial noncommutative vector bundle defines in the simplest case the super Yang–Mills action coupled to a scalar field. By considering a modified Dirac operator and a suitable limit of its parameters we then obtain an action that turns out to be the continuum limit of the induced QCD in the Kazakov–Migdal model. © 1995 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.531062

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Digitale Medien

Supersymmetric structures in 4-D Yang–Mills theory (1998)

Kalkkinen, Jussi ; Niemi, Antti J.

Springer

The European physical journal 4 (1998), S. 723-739

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ISSN: 1434-6052

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract. Recently there has been much progress in understanding confinement in the N=2 supersymmetric Yang–Mills theory. Here we shall investigate how these results could be extended to explain color confinement in the ordinary Yang–Mills theory. In particular, we inquire whether confinement in the N=2 theory can be related to color confinement in the ordinary Yang–Mills theory in the framework of Parisi–Sourlas dimensional reduction. For this we study the partition function of the ordinary Yang–Mills theory in different regimes. Our analysis reveals that an intimate connection indeed exists between these two approaches.