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1+1D Hadrons Minimize their Biparton Renyi Free Energy

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arxiv 2301.03611 v1 pith:I7CDP3KF submitted 2023-01-09 hep-th hep-phnucl-thquant-ph

1+1D Hadrons Minimize their Biparton Renyi Free Energy

classification hep-th hep-phnucl-thquant-ph
keywords energyfreehadronsminimizetheoriesbipartondimensionsgauge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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