Dynamical symmetry breaking of massless λϕ⁴ and renormalization scheme dependence

2001/12/21 by Ji-Feng Yang, J. -F. Yang, Yang, J. -F.
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Physics (quant-ph) #advanced mathematical theories #hep-ph #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0112291

10 pages, Latex

openalex publication_date 2001/12/21 · arxiv created 2001/12/22 · arxiv updated 2009/11/30 · openalex created_date 2020/05/21 · openalex updated_date 2026/07/28

Abstract

Through two loop effective potential we demonstrate that the MS scheme of dimensional regularization and Jackiw's prescription in cut-off regularization allow for the dynamical breaking solution in massless λϕ⁴ theory, while the Coleman-Weinberg prescription does not. The beta function of the broken phase is negative, like in the one loop effective potential, but the UV fixed point is not zero, i.e., not an asymptotic freedom solution, unlike the one loop case. Some related issues were briefly discussed.

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