Effective field theory in light of relative entropy
arXiv:2211.08065 · doi:10.1007/JHEP07(2023)111
Abstract
We study constraints on the effective field theory (EFT) from the relative entropy between two theories: we refer to these as target and reference theories. The consequence of the non-negativity of the relative entropy is investigated by choosing some reference theories for a given target theory involving field theories, quantum mechanical models, etc. It is found that the constraints on EFTs, e.g., the single massless scalar field with the dimension-eight operator, and SMEFT dimension-eight gauge bosonic operators, are consistent with the positivity bounds from the unitarity and causality when the higher-derivative operators are generated by the interaction between heavy and light fields. The constraints on Einstein-Maxwell theory with higher-derivative operators from the non-negativity of relative entropy are also investigated. The constraints on such EFTs from the relative entropy hold under an assumption that perturbative corrections from the interaction involving higher-derivative operators of light fields are not dominant in the EFTs. The consequence of this study on the weak gravity conjecture and the second law of thermodynamics is also discussed.
arXiv comment94 pages, 6 figures
References in corpus (46)
- Dimension-Six Terms in the Standard Model Lagrangian
- The String Landscape, Black Holes and Gravity as the Weakest Force
- On the Geometry of the String Landscape and the Swampland
- Causality, Analyticity and an IR Obstruction to UV Completion
- Symmetries and Strings in Field Theory and Gravity
- Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
- Distance and de Sitter Conjectures on the Swampland
- Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
- Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence
- The Standard Model as an Effective Field Theory
- Bounds on Slow Roll and the de Sitter Swampland
- Infinite Distances in Field Space and Massless Towers of States
- Dimension-8 Operators in the Standard Model Effective Field Theory
- Effective Theory Analysis of Precision Electroweak Data
- Higgs windows to new physics through d = 6 operators: Constraints and one-loop anomalous dimensions
- Robust Determination of the Higgs Couplings: Power to the Data
- Complete Higgs Sector Constraints on Dimension-6 Operators
- Towards the Ultimate SM Fit to Close in on Higgs Physics
- Compilation of low-energy constraints on 4-fermion operators in the SMEFT
- Model-independent precision constraints on dimension-6 operators
- Weak Gravity Conjecture from Unitarity and Causality
- Proof of the Weak Gravity Conjecture from Black Hole Entropy
- Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity
- A Global Likelihood for Precision Constraints and Flavour Anomalies
- Consistency of the Standard Model Effective Field Theory
- On the impact of dimension-eight SMEFT operators on Higgs measurements
- Determining Triple Gauge Boson Couplings from Higgs Data
- Comprehensive analysis of beta decays within and beyond the Standard Model
- Causality, Unitarity, and the Weak Gravity Conjecture
- A Universal Relation Between Corrections to Entropy and Extremality
- A Holographic Derivation of the Weak Gravity Conjecture
- Conformal Bootstrap in the Regge Limit
- Flavour symmetries in the SMEFT
- Model independent constraints on four-lepton operators
- The CKM parameters in the SMEFT
- Entropy Bounds on Effective Field Theory from Rotating Dyonic Black Holes
- A note on Gauge Theories Coupled to Gravity
- Incorporating doubly resonant data in a global fit of SMEFT parameters to lift flat directions
- The impact of flavour data on global fits of the MFV SMEFT
- Model-independent Bounds on the Standard Model Effective Theory from Flavour Physics
- Towards the ultimate differential SMEFT analysis
- A Conformal Collider for Holographic CFTs
- Higgs boson signal at complete tree level in the SM extension by dimension-six operators
- Matching for FCNC effects in the flavour-symmetric SMEFT
- Constraining SMEFT operators with associated production in Weak Boson Fusion
- The effective action for gauge bosons