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Systematics of Aligned Axions · Around

2017

Systematics of Aligned Axions

Bachlechner, Thomas C., Eckerle, Kate, Janssen, Oliver et al.

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We describe a novel technique that renders theories of $N$ axions tractable, and more generally can be used to efficiently analyze a large class of periodic potentials of arbitrary dimension.

Such potentials are complex energy landscapes with a number of local minima that scales as $\sqrt{N!}$, and so for large $N$ appear to be analytically and numerically intractable.
Our method is based on uncovering a set of approximate symmetries that exist in addition to the $N$ periods.
These approximate symmetries, which are exponentially close to exact, allow us to locate the minima very efficiently and accurately and to analyze other characteristics of the potential.

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