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FRACTAL WILSON LOOP IN U(1) LATTICE GAUGE THEORY

H. Kröger, S. Lantagne, K.J.M. Moriarty

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Abstract

Recently, a fractal Wilson loop has been suggested to yield for non-compact SU(2) gauge theory an area law in the strong-coupling regime, while the standard Wilson loop yields a perimeter law. Here we consider non-compact U(1) gauge theory, compute the fractal Wilson loop analytically, and obtain a perimeter law for all coupling. We find that and coincide.

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What this paper is about

Recently, a fractal Wilson loop has been suggested to yield for non-compact SU(2) gauge theory an area law in the strong-coupling regime, while the standard Wilson loop yields a perimeter law. Here we consider non-compact U(1) gauge theory, compute the fractal Wilson loop analytically, and obtain a perimeter law for all coupling. We find that and coincide.

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Available abstract

Recently, a fractal Wilson loop has been suggested to yield for non-compact SU(2) gauge theory an area law in the strong-coupling regime, while the standard Wilson loop yields a perimeter law. Here we consider non-compact U(1) gauge theory, compute the fractal Wilson loop analytically, and obtain a perimeter law for all coupling. We find that and coincide.

Key concepts: Physics, Wilson loop, Lattice gauge theory, Fractal, Loop (graph theory), Mathematical physics, Gauge theory, Hamiltonian lattice gauge theory

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