A mechanism is proposed where the CP violating phase relaxes in discrete steps via nucleation of membranes that discharge the magnetic dual of a 4-form flux, with bubbles colliding and percolating near the chiral symmetry breaking scale during radiation domination.
A Monodromy from London
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abstract
We focus on the massive gauge theory formulation of axion monodromy inflation. We argue that a gauge symmetry hidden in these models is the key protection mechanism from dangerous corrections from both field theory and gravitational dynamics. The effective theory of large field inflation is a dual to a massive U(1) 4-form gauge theory, which is similar to a massive gauge theory description of superconductivity. The gauge theory explicitly realizes the old Julia-Toulouse proposal for a low energy description of a gauge theory in a defect condensate. While we work mostly with the example of quadratic axion potential induced by flux monodromy, we discuss how other types of potentials can arise from inclusion of gauge invariant corrections to the theory.
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A Quantal Theory of Restoration of Strong CP Symmetry
A mechanism is proposed where the CP violating phase relaxes in discrete steps via nucleation of membranes that discharge the magnetic dual of a 4-form flux, with bubbles colliding and percolating near the chiral symmetry breaking scale during radiation domination.