Advances in Theoretical and Mathematical Physics

Instantons, fluxons, and open gauge string theory

Luca Griguolo, Domenico Seminara, and Richard J. Szabo

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We use the exact instanton expansion to illustrate various string characteristics of non-commutative gauge theory in two dimensions. We analyse the spectrum of the model and present some evidence in favour of Hagedorn and fractal behaviours. The decompactification limit of non-commutative torus instantons is shown to map in a very precise way, at both the classical and quantum levels, onto fluxon solutions on the non-commutative plane. The weak-coupling singularities of the usual Gross–Taylor string partition function for QCD on the torus are studied in the instanton representation and its double-scaling limit, appropriate for the mapping onto non-commutative gauge theory, is shown to be a generating function for the volumes of the principal moduli spaces of holomorphic differentials. The non-commutative deformation of this moduli space geometry is described and appropriate open string interpretations are proposed in terms of the fluxon expansion.

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Adv. Theor. Math. Phys., Volume 9, Number 5 (2005), 775-860.

First available in Project Euclid: 12 August 2009

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Griguolo, Luca; Seminara, Domenico; Szabo, Richard J. Instantons, fluxons, and open gauge string theory. Adv. Theor. Math. Phys. 9 (2005), no. 5, 775--860.

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