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.
Saltatory Relaxation of the Cosmological Constant
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abstract
We modify and extend an earlier proposal by Brown and Teitelboim to relax the effective cosmological term by nucleation of branes coupled to a three-index gauge potential. Microscopic considerations from string/M theory suggest two major innovations in the framework. First, the dependence of brane properties on the compactification of extra dimensions may generate a very small quantized unit for jumps in the effective cosmological term. Second, internal degrees of freedom for multiply coincident branes may enhance tunneling rates by exponentially large density of states factors. These new features essentially alter the relaxation dynamics. By requiring stability on the scale of the lifetime of the universe, rather than absolute stability, we derive a non-trivial relation between the supersymmetry breaking scale and the value of the cosmological term. It is plausibly, though not certainly, satisfied in Nature.
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Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.
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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.
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Lectures on Naturalness, String Landscape and Multiverse
Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.
- Compact space catalysis of false vacuum decay and Schwinger effect