Elastic positivity from a modified forward dispersion relation constrains the twelve dim-8 Wilson coefficients of the photon–dark-photon EFT to a spectrahedral cone, with hierarchies for non-forward mixed amplitudes and distinct loci for kinetic-mixing and dark-axion UV completions.
de Rham, S
13 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Fundamental principles of local quantum field theory or of quantum gravity can enforce consistency requirements on the space of consistent low-energy effective field theories. We survey the various techniques that have been used to put UV constraints on IR physics, including those from causality considerations in the form of S-matrix positivity and bootstrap bounds, scattering time delays, conformal field theory and holographic methods, together with those that arise from landscape/swampland criteria such as the weak gravity conjecture. We review recent applications of these constraints to corrections to Standard Model physics, corrections to Einstein gravity, and cosmological theories and highlight promising future directions.
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The Veneziano amplitude is the unique solution to a dual bootstrap from dispersive sum rules interpreted as moments, unitarity, and string monodromy or splitting conditions.
Complete positivity bounds for the 22 aQGC coefficients in SMEFT restrict the viable parameter space to approximately 0.0313% of the naive total.
Non-minimal three-point interactions induce negative one-loop running of Wilson coefficients in gravitational EFTs, yet graviton loops generate positive IR contributions that dominate the bounds after smearing if the species number is bounded.
Microcausality and positivity constrain Green's functions to be analytic in the forward light-cone with Im(ω G) > 0 in the complex domain for translation-invariant but Lorentz-breaking systems, implying integral constraints and analytic ε(ω,k), μ^{-1}(ω,k).
A primal S-matrix bootstrap framework parameterizes imaginary parts of partial waves, uses dispersion relations to enforce consistency, computes coupling bounds, and handles Regge behavior plus spinning states like glueballs.
Dispersive bootstrap with unitarity, crossing and a Virasoro-inspired ansatz isolates the Virasoro-Shapiro amplitude in a small island for the gravity-pole-subtracted four-point amplitude in 10D supersymmetry.
Bootstrap constraints on 10D half-maximal supergravity and SYM show gravitational boundaries dominated by single linear Regge trajectory amplitudes, with representation positivity tensions obstructing direct gauge-gravity normalization in the gluon sector.
A sampling-based bootstrap for graviton poles in EFTs yields non-projective bounds that fix the EFT cutoff scale relative to the Planck mass, with M/M_P ≲ 7.8 in D=5.
Derives lower bound on collective mean free path ℓ = √(τ D) in Drude-Kadanoff-Martin model from Green's function bounds, implying Mott-Ioffe-Regel limit for lattice models.
Thermodynamic consistency in thermal scalar EFTs requires the Wilson coefficient of the leading dimension-8 operator to be strictly positive.
Compares two methods to resolve disagreements and prove positivity of anomalous dimensions for principal series fields coupled to compact scalar operators in de Sitter space.
Higher-order QCD predictions for pp to tW enable three-parameter SMEFT fits that constrain effective new-physics scales to 0.5–2 TeV using LHC Run II and III data.
citing papers explorer
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The Positivity Geometry of Photon--Dark-Photon Effective Field Theories
Elastic positivity from a modified forward dispersion relation constrains the twelve dim-8 Wilson coefficients of the photon–dark-photon EFT to a spectrahedral cone, with hierarchies for non-forward mixed amplitudes and distinct loci for kinetic-mixing and dark-axion UV completions.
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Analytic Bootstrap of the Veneziano Amplitude
The Veneziano amplitude is the unique solution to a dual bootstrap from dispersive sum rules interpreted as moments, unitarity, and string monodromy or splitting conditions.
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Full positivity bounds for anomalous quartic gauge couplings in SMEFT
Complete positivity bounds for the 22 aQGC coefficients in SMEFT restrict the viable parameter space to approximately 0.0313% of the naive total.
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Negative running of gravitational positivity
Non-minimal three-point interactions induce negative one-loop running of Wilson coefficients in gravitational EFTs, yet graviton loops generate positive IR contributions that dominate the bounds after smearing if the species number is bounded.
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Analyticity and positivity of Green's functions without Lorentz
Microcausality and positivity constrain Green's functions to be analytic in the forward light-cone with Im(ω G) > 0 in the complex domain for translation-invariant but Lorentz-breaking systems, implying integral constraints and analytic ε(ω,k), μ^{-1}(ω,k).
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Primal S-matrix bootstrap with dispersion relations
A primal S-matrix bootstrap framework parameterizes imaginary parts of partial waves, uses dispersion relations to enforce consistency, computes coupling bounds, and handles Regge behavior plus spinning states like glueballs.
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A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude
Dispersive bootstrap with unitarity, crossing and a Virasoro-inspired ansatz isolates the Virasoro-Shapiro amplitude in a small island for the gravity-pole-subtracted four-point amplitude in 10D supersymmetry.
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Where is tree-level heterotic string theory?
Bootstrap constraints on 10D half-maximal supergravity and SYM show gravitational boundaries dominated by single linear Regge trajectory amplitudes, with representation positivity tensions obstructing direct gauge-gravity normalization in the gluon sector.
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Sampling the Graviton Pole and Deprojecting the Swampland
A sampling-based bootstrap for graviton poles in EFTs yields non-projective bounds that fix the EFT cutoff scale relative to the Planck mass, with M/M_P ≲ 7.8 in D=5.
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Bootstrapping transport in the Drude-Kadanoff-Martin model
Derives lower bound on collective mean free path ℓ = √(τ D) in Drude-Kadanoff-Martin model from Green's function bounds, implying Mott-Ioffe-Regel limit for lattice models.
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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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A Compact Story of Positivity in de Sitter
Compares two methods to resolve disagreements and prove positivity of anomalous dimensions for principal series fields coupled to compact scalar operators in de Sitter space.
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Constraining dimension-6 SMEFT with higher-order predictions for $p p \to t W$
Higher-order QCD predictions for pp to tW enable three-parameter SMEFT fits that constrain effective new-physics scales to 0.5–2 TeV using LHC Run II and III data.