Analytic study of θ vacua on the lattice |
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Authors: | Nathan Seiberg |
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Institution: | 2. Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94305, USA |
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Abstract: | A new definition of the topological charge density for four-dimensional lattice gauge theory is given. Using a systematic expansion we find a cusp in the vacuum energy at θ = π signaling the spontaneous breaking of CP there. Unlike its two-dimensional analogue (QED2), QCD confines at θ = π. As a by-product an expression for the topological mass term for (2+1)-dimensional lattice gauge theory is obtained. |
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