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Axion Mass from Magnetic Monopole Loops.

JiJi Fan1, Katherine Fraser2, Matthew Reece2

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Axions interacting with Abelian gauge fields gain a potential from magnetic monopoles via the Witten effect. This axion potential influences dark matter abundance in hidden sectors, offering insights into cosmology.

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Area of Science:

  • Theoretical Physics
  • Particle Physics
  • Cosmology

Background:

  • Axions are hypothetical particles that interact with gauge fields.
  • Magnetic monopoles are exotic particles predicted by some theories.
  • The Witten effect describes how axions can induce electric charge in monopoles.

Purpose of the Study:

  • To investigate the potential of axions interacting with Abelian gauge fields and magnetic monopoles.
  • To understand the axion potential as an instanton effect.
  • To explore the implications for dark matter relic abundance in specific cosmological models.

Main Methods:

  • Calculation of the axion potential arising from magnetic monopole loops.
  • Analysis of the Witten effect's role in modifying monopole properties.
  • Consistency checks involving massless charged fermions and higher-derivative corrections.

Main Results:

  • Axions interacting with Abelian gauge fields acquire a potential due to magnetic monopoles.
  • This potential can be interpreted as a Euclidean instanton effect.
  • The axion potential vanishes with massless charged fermions and is robust against higher-derivative corrections.

Conclusions:

  • The study establishes a mechanism for axion potential generation involving magnetic monopoles.
  • The findings provide a framework for understanding axion cosmology and dark matter.
  • The axion potential's significance in determining dark matter relic abundance is highlighted.