A no-go theorem excludes Gamma in [0,d] for typical non-topological non-relativistic spherically symmetric solitons, with the same exclusion for barotropic fluid compact objects, ruling out natural soliton explanations for observed dark matter halo cores with Gamma ~1.7.
Relativistic Corrections to Nonrelativistic Effective Field Theories
3 Pith papers cite this work, alongside 66 external citations. Polarity classification is still indexing.
abstract
In this paper we develop a formalism for studying the nonrelativistic limit of relativistic field theories in a systematic way. By introducing a simple, nonlocal field redefinition, we transform a given relativistic theory, describing a real, self-interacting scalar field, into an equivalent theory, describing a complex scalar field that encodes at each time both the original field and its conjugate momentum. Our low-energy effective theory incorporates relativistic corrections to the kinetic energy as well as the backreaction of fast-oscillating terms on the behavior of the dominant, slowly varying component of the field. Possible applications of our new approach include axion dark matter, though the methods developed here should be applicable to the low-energy limits of other field theories as well.
representative citing papers
A dc SQUID operated at the flux sweet spot with lock-in modulation yields an ultra-broadband axion search with projected sensitivity |g_aγγ| ≳ 10^{-16} GeV^{-1} across 15 orders of magnitude in mass.
Derives non-relativistic effective field theories for scalar fields with arbitrary potentials, provides an effective fluid description, and extends the formalism to cosmology for ultra-light dark matter models.
citing papers explorer
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A No-Go Theorem for the Mass-Radius Relation of Solitons
A no-go theorem excludes Gamma in [0,d] for typical non-topological non-relativistic spherically symmetric solitons, with the same exclusion for barotropic fluid compact objects, ruling out natural soliton explanations for observed dark matter halo cores with Gamma ~1.7.
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An ultra-broadband axion dark matter experiment
A dc SQUID operated at the flux sweet spot with lock-in modulation yields an ultra-broadband axion search with projected sensitivity |g_aγγ| ≳ 10^{-16} GeV^{-1} across 15 orders of magnitude in mass.
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Non-relativistic effective theories for fields with general potentials and their implications for cosmology
Derives non-relativistic effective field theories for scalar fields with arbitrary potentials, provides an effective fluid description, and extends the formalism to cosmology for ultra-light dark matter models.