Abstract
Using the approach developed in [V. Azcoiti, G. Di Carlo, A. Galante, V. Laliena, \textit{Phys. Lett.} \textbf{B563}, (2003) 117], we are able to reconstruct the behavior of the massive 1-flavor Schwinger model with a $\theta$ term and a quantized topological charge. We calculate the full dependence of the order parameter with $\theta$. Our results at $\theta = \pi$ are compatible with Coleman's conjecture on the phase diagram of this model.
Highlights
The origin of dark matter is one of the main challenges in modern physics
II we summarize some relevant features of the Schwinger model with a topological term
The data corresponding to m 1⁄4 0.5 lie essentially on top of the analytic m 1⁄4 ∞ curve, and this mass corresponds to the phase with broken symmetry at θ 1⁄4 π
Summary
The origin of dark matter is one of the main challenges in modern physics. The axion is one of the more interesting candidates for the dark matter of the Universe, and the axion potential, that determines the dynamics of the axion field, plays a fundamental role in this context. The QCD axion model relates the topological susceptibility χT with the axion mass ma and decay constant fa through the relation χT 1⁄4 m2af2a. The axion mass is, on the other hand, an essential ingredient in the calculation of the axion abundance in the Universe. A precise computation of the topological properties of QCD and of their temperature dependence becomes of primary interest in this context.
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