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 \(\varphi\).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2023, Vol. 217, pp. 86–97 https://doi.org/10.4213/tmf10477.
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Pismensky, A.L., Pismak, Y.M. Scaling violation and the appearance of mass in scalar quantum field theories. Theor Math Phys 217, 1495–1504 (2023). https://doi.org/10.1134/S0040577923100069
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DOI: https://doi.org/10.1134/S0040577923100069