Scaling violation and the appearance of mass in scalar quantum field theories. (English. Russian original) Zbl 1530.81120
Theor. Math. Phys. 217, No. 1, 1495-1504 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 86-97 (2023).
Summary: 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 \(\varphi \).
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81R40 | Symmetry breaking in quantum theory |
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