1+1D Hadrons Minimize their Biparton Renyi Free Energy
arXiv:2301.03611 · doi:10.1103/PhysRevD.108.014036
Abstract
We use a variational method to calculate the spectrum and the parton distribution function of ground state hadrons of various gauge theories in 1+1 dimensions. The template functions in our method minimize a free energy functional defined as a combination of free valence partons' kinetic energy on the lightcone and the Renyi entanglement entropy of biparton subsystems. Our results show that hadrons in these theories minimize the proposed free energy. The success of this technique motivates applying it to confining gauge theories in higher dimensions.
arXiv comment5 two-column pages, 5 figures
References in corpus (42)
- Parton Physics on Euclidean Lattice
- Entanglement Renyi entropies in holographic theories
- Entanglement as a Probe of Confinement
- Measuring Renyi Entanglement Entropy with Quantum Monte Carlo
- The Gravity Dual of Renyi Entropy
- Topological Entanglement Renyi Entropy and Reduced Density Matrix Structure
- Thermodynamic approach to holographic dark energy and the Rényi entropy
- Exploring hadrons' partonic structure using ab initio lattice QCD calculations
- Deep inelastic scattering as a probe of entanglement
- Extracting Parton Distribution Functions from Lattice QCD Calculations
- One-Loop Matching for Parton Distributions: Non-Singlet Case
- Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
- Sub-ballistic growth of Rényi entropies due to diffusion
- First direct lattice-QCD calculation of the -dependence of the pion parton distribution function
- The EPR paradox and quantum entanglement at sub-nucleonic scales
- Thermal radiation and entanglement in proton-proton collisions at the LHC
- Some general properties of unified entropies
- Confinement, Phase Transitions and non-Locality in the Entanglement Entropy
- Deep inelastic scattering as a probe of entanglement: confronting experimental data
- Gluon saturation and entropy production in proton proton collisions
- Classical and quantum entropy of parton distributions
- Holographic Entanglement Entropy in Anisotropic Background with Confinement-Deconfinement Phase Transition
- Is entanglement a probe of confinement?
- Evidence for the maximally entangled low proton in Deep Inelastic Scattering from H1 data
- A New Finite-lattice study of the Massive Schwinger Model
- Holographic Entanglement Entropy at Finite Temperature
- Solving the Bars-Green equation for moving mesons in two-dimensional QCD
- An Analysis of Parton Distribution Functions of the Pion and the Kaon with the Maximum Entropy Input
- Entanglement entropy production in deep inelastic scattering
- Quantum information approach to high energy interactions
- Geometric Entropy and Hagedorn/Deconfinement Transition
- Entanglement in Reggeized Scattering using AdS/CFT
- Pion Valence Quark Distributions from Maximum Entropy Method
- Valence quark distributions of the proton from maximum entropy approach
- Information in AdS/QCD: mass spectroscopy of isovector mesons
- Quark and gluon entanglement in the proton on the light cone at intermediate
- Novel observables for exploring QCD collective evolution and quantum entanglement within individual jets
- Regimes of the Pomeron and its Intrinsic Entropy
- Quantum Entanglement and Thermal Behavior in Charged-Current Weak Interactions
- Gluon Shadowing and Nuclear Entanglement
- Quantum Entanglement and the Thermal Hadron
- Information entropy and fragmentation functions