Geodesic
On the anomalous origin of masses. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 2, pp. 137-151 Cet article a éte moissonné depuis la source Math-Net.Ru

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The vacuum energy density $\varepsilon$ is investigated as a function of the bare masses and the coupling constants. The form of the mass dependence of $\varepsilon$ gives indirect information about the possibility or impossibility of the spontaneous formation of mass in an original massless theory: mass can be formed spontaneously only if it is energetically advantageous – that is, when the vacuum energy density decreases with increasing mass. The model of combined weak and electromagnetic interactions of leptons with intermediate bosons is discussed; in this model all the unrenormalized masses vanish. It is shown that the photon is stable against the spontaneous formation of mass, while in the following paper [18] it will be shown that the neutrino is stable and charged leptons are unstable. It is also proved that the second derivative of $\varepsilon$ with respect to any coupling constant (“any” for the case when the interaction contains several terms) is negative, i.e. , the corresponding curve is convex. It is also shown that the “bad” scalar theories ($\lambda\varphi^3,\lambda\varphi^4$ for $\lambda>0$) are stable against the spontaneous formation of mass. 
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     author = {A. N. Vasil'ev},
     title = {On the anomalous origin of {masses.~I}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {137--151},
     year = {1972},
     volume = {11},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_2_a0/}
}
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A. N. Vasil'ev. On the anomalous origin of masses. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 2, pp. 137-151. http://geodesic.mathdoc.fr/item/TMF_1972_11_2_a0/

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