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Partially connected contributions to baryon masses in QCD+QED

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arxiv 2502.03961 v1 pith:Z3D3WMFG submitted 2025-02-06 hep-lat

Partially connected contributions to baryon masses in QCD+QED

classification hep-lat
keywords baryoncontributionslatticemassesboundaryconditionsconnectedcorrections
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Full QCD+QED simulations allow to evaluate isospin breaking corrections to hadron masses. With the openQxD code, we are able to perform these simulations employing C-periodic boundary conditions, implemented through a doubling of the physical lattice along one spatial direction. The use of these boundary conditions introduces non-zero Wick contractions between two quark or two antiquark fields, that, in the case of the computation of baryon masses, lead to partially connected additional contributions that we expect to vanish in the infinite volume limit. These contributions are challenging because they involve an all-to-all propagator connecting one point in the physical lattice and one in the mirror lattice. We present a way to compute these corrections to the $\Omega^-$ baryon mass using a combination of point and stochastic source inversions. This work is part of the program of the RC* collaboration.

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  1. Baryon masses with C-periodic boundary conditions

    hep-lat 2026-02 conditional novelty 4.0

    First numerical estimates of the C-periodic 1-q connected contributions to the Omega-minus two-point function, plus preliminary proton and Omega masses at m_pi ~ 400 MeV.