Derives a non-perturbative formula for the proton decay matrix element from first principles in QCD for computation via lattice QCD.
Boundary Surface Term In QCD Is At Finite Distance Due To Confinement of Quarks and Gluons Inside Finite Size Hadron
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abstract
In this paper we show that since we have not observed quarks and gluons outside the hadron due to the confinement of quarks and gluons inside the hadron, the boundary surface term in QCD is at the finite distance which is at the surface of the finite size hadron. Since the boundary surface is at the finite distance we find that the boundary surface term in QCD is non-zero irrespective of the form of the $r$ dependence of the gluon field ${\hat A}_\mu^a(t,r)$ and the $r$ dependence of the quark field ${\hat \psi}_i(t,r)$ where $a=1,...,8$ and $i=1,2,3$ are the color indices. We show that this is consistent with the fact that the cluster decomposition property fails in QCD due to confinement.
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physics.gen-ph 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Lattice QCD Method To Study Proton Decay
Derives a non-perturbative formula for the proton decay matrix element from first principles in QCD for computation via lattice QCD.