Scaling violation and the appearance of mass in scalar quantum field theories

A. L. Pismenskii^a, Yu. M. Pis'mak<sup>b

a</sup> Saint Petersburg Electrotechnical University "LETI", St. Petersburg, Russia
^b Saint Petersburg State University, St. Petersburg, Russia

Abstract: 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.

Received: 10.02.2023
Revised: 05.05.2023

DOI: 10.4213/tmf10477

 English version: Theoretical and Mathematical Physics, 2023, 217:1, 1495–1504

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