RG generated fermion mass

Details RG generated fermion mass RG generated fermion mass

2001-01-15

arxiv.org/abs/hep-ph/0101157v1

Phys.Lett.B549:260-266,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 4 figures

Scientific paper

10.1016/S0370-2693(02)02890-3

Chiral symmetry breaking in a purely fermionic theory is investigated by the help of the renormalization group method. The RG equation for the running mass $m_k$ admits a solution with vanishing bare mass and finite physical mass. The running Fermi coupling constant, $G_k$, converges to a finite (renormalized) physical value. It is also shown that the RG equation for $\tilde G$, the dimensionless Fermi coupling, has an UV fixed point $\tilde G_{UV}$. Contrary to a previous result however, it is proven that the chiral symmetry breaking point $\tilde G_c$ does not coincide with $\tilde G_{UV}$.

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