Non-negativity of resummed relative entropy imposes sign constraints on coefficients in nonlinear electrodynamics EFTs and diagnoses instabilities in strong coupling.
Fernández-Sarmiento, R
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Consistency constraints for low-energy theories, especially those lacking Lorentz invariance, have recently garnered attention. Building on results from black hole thermodynamics, we investigate the conjecture that leading symmetry-preserving irrelevant deformations of a conformal field theory (CFT) in the infrared must increase the system's entropy. We show that this entropy-positivity conjecture is equivalent to a decrease in the thermal grand potential at a fixed temperature. We then evaluate this proposal against various known positivity bounds and other physical constraints on effective theories: for $U(1)$ Goldstone bosons with a quartic self-interaction at (non-)zero chemical potential, for the Euler-Heisenberg model, for the $O(N)$ nonlinear sigma model in $(2+1)D$, and for $T\bar{T}$ deformations of the 2D Ising CFT. We find broad agreement with the entropy-positivity conjecture, and we discuss test cases where the conjecture is not expected to apply, such as deformations that break internal symmetries of the CFT.
verdicts
UNVERDICTED 4representative citing papers
Lorentz invariance and unitarity imply strictly positive low-temperature interaction corrections of the form T^{2D-4+4k} (k>0) to the pressure in perturbative massless boson theories.
Thermodynamic consistency in thermal scalar EFTs requires the Wilson coefficient of the leading dimension-8 operator to be strictly positive.
A string theory and graph Laplacian model recovers the Jiron-Castellon virtual volumes for nematic liquid crystals and predicts anisotropic thermal expansion and refractive indices to better than 0.06% accuracy with no fitted parameters.
citing papers explorer
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Bounds on nonlinear electrodynamics via resummed relative entropy
Non-negativity of resummed relative entropy imposes sign constraints on coefficients in nonlinear electrodynamics EFTs and diagnoses instabilities in strong coupling.
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Thermal Positivity
Lorentz invariance and unitarity imply strictly positive low-temperature interaction corrections of the form T^{2D-4+4k} (k>0) to the pressure in perturbative massless boson theories.
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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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First-Principles Prediction of Material Properties from Topological Invariants
A string theory and graph Laplacian model recovers the Jiron-Castellon virtual volumes for nematic liquid crystals and predicts anisotropic thermal expansion and refractive indices to better than 0.06% accuracy with no fitted parameters.