Thermodynamic consistency in thermal scalar EFTs requires the Wilson coefficient of the leading dimension-8 operator to be strictly positive.
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The analysis shows that analyticity bounds in Lorentz-broken theories require gapped excitations to propagate slower than gapless ones at low momenta relative to the mass gap.
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Positivity bounds from thermal field theory entropy
Thermodynamic consistency in thermal scalar EFTs requires the Wilson coefficient of the leading dimension-8 operator to be strictly positive.
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IR side of bounds on Theories with Spontaneously Broken Lorentz Symmetry
The analysis shows that analyticity bounds in Lorentz-broken theories require gapped excitations to propagate slower than gapless ones at low momenta relative to the mass gap.