A discrete gauge symmetry protecting the axion induces a large effective mass during inflation via a gauge-invariant PQ-violating operator, suppressing isocurvature fluctuations and addressing both quality and isocurvature issues.
Domain wall and isocurvature perturbation problems in axion models
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Axion models have two serious cosmological problems, domain wall and isocurvature perturbation problems. In order to solve these problems we investigate the Linde's model in which the field value of the Peccei-Quinn (PQ) scalar is large during inflation. In this model the fluctuations of the PQ field grow after inflation through the parametric resonance and stable axionic strings may be produced, which results in the domain wall problem. We study formation of axionic strings using lattice simulations. It is found that in chaotic inflation the axion model is free from both the domain wall and the isocurvature perturbation problems if the initial misalignment angle \theta_a is smaller than O(10^{-2}). Furthermore, axions can also account for the dark matter for the breaking scale v \simeq 10^{12-16} GeV and the Hubble parameter during inflation H_{inf} \lesssim 10^{11-12} GeV in general inflation models.
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Spontaneous wash-in leptogenesis in Type II Seesaw with Majoron pNGB background enables baryon asymmetry generation alongside dark matter cogenesis for specific v_T, v_sigma and m_j ranges.
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High-Quality Axion Dark Matter without Isocurvature Problem
A discrete gauge symmetry protecting the axion induces a large effective mass during inflation via a gauge-invariant PQ-violating operator, suppressing isocurvature fluctuations and addressing both quality and isocurvature issues.
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Type II Seesaw Leptogenesis in a Majoron background
Spontaneous wash-in leptogenesis in Type II Seesaw with Majoron pNGB background enables baryon asymmetry generation alongside dark matter cogenesis for specific v_T, v_sigma and m_j ranges.