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An Introduction to Effective Field Theories
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These notes are an overview of effective field theory (EFT) methods. I discuss toy model EFTs, chiral perturbation theory, Fermi liquid theory, and non-relativistic QED, and use these examples to introduce a variety of EFT concepts, including: matching a tree and loop level; summation of large logarithms; naturalness problems; spurion fields; coset construction; Wess-Zumino-Witten terms; chiral and gauge anomalies; field rephasings; and method of regions. These lecture notes were prepared for the 2nd Joint ICTP-Trieste/ICTP-SAIFR school on Particle Physics, Sao Paulo, Brazil, June 22 - July 3, 2020.
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Cited by 3 Pith papers
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Effective theories for many-body systems with nonuniform symmetries
Nonuniform symmetries do not add gapless modes; they eliminate redundant fields and impose kinematic constraints that soften spectra and produce subdiffusive hydrodynamics.
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Effective Field Theories for Material Media
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
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In-In EFT
An EFT for in-in correlators is defined by matching the full theory's real-time correlators, leading to operators with boundary terms and odd time derivatives.
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