Geodesic
Scaling violation and the appearance of mass in scalar quantum field theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 217 (2023) no. 1, pp. 86-97

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In massless quantum field theories, scale invariance is violated in logarithmic dimensions. We discuss options for interpreting this effect as spontaneous mass emergence in the framework of skeleton self-consistency equations with the full propagator in the $\varphi^3$, $\varphi^4$, and $\varphi^6$ models of a scalar field $\varphi$.
Keywords: scaling violation, appearance of mass. 
A. L. Pismenskii; Yu. M. Pis'mak. Scaling violation and the appearance of mass in scalar quantum field theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 217 (2023) no. 1, pp. 86-97. http://geodesic.mathdoc.fr/item/TMF_2023_217_1_a5/
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