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Relation of renormalized meson mass to bare mass and cutoff parameter in scalar electrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 2, pp. 204-209

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The renormaiized mass $m$ of a scalar meson is related to the bare mass $m_0$, the charge, and the cutoff parameter A in the so-called “three-gamma” or $(\alpha L)^n$-approximation. It is shown that if one goes beyond standard perturbation theory in scalar electrodynamics, the divergence of the meson selfenergy is transformed from quadratic into linear. A nonzero solution for the meson mass $m$ is obtained for a vanishing bare mass. The Duffin–Kemmer formalism is used. 
@article{TMF_1973_17_2_a7,
     author = {V. I. Truten'},
     title = {Relation of renormalized meson mass to bare mass and cutoff parameter in scalar electrodynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {204--209},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_17_2_a7/}
}
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V. I. Truten'. Relation of renormalized meson mass to bare mass and cutoff parameter in scalar electrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 2, pp. 204-209. http://geodesic.mathdoc.fr/item/TMF_1973_17_2_a7/