Schwinger-Dyson analysis of dynamical symmetry breaking on a brane with bulk Yang-Mills theory

Hiroyuki Abe, Tomohiro Inagaki

Research output: Contribution to journalArticle

7 Citations (Scopus)


The dynamically generated fermion mass is investigated in a flat brane world with (4 + δ)-dimensional bulk space-time, and in the Randall-Sundrum (RS) brane world. We consider the bulk Yang-Mills theory interacting with a fermion confined on a four-dimensional brane. Based on the effective theory below a reduced cutoff scale on the brane, we formulate the Schwinger-Dyson equation of the brane fermion propagator. By using the improved ladder approximation we numerically solve the Schwinger-Dyson equation and find that the dynamical fermion mass is near the reduced cutoff scale on the brane for the flat brane world with δ≥3 and for the RS brane world. In the RS brane world Kaluza-Klein excited modes of the bulk gauge field localize around the y = πR brane and this enhances dynamical symmetry breaking on the brane. The decay constant of the fermion and the antifermion composite operator can be taken to be of the order of the electroweak scale, much smaller than the Planck scale. Therefore the electroweak mass scale can be realized from only the Planck scale in the RS brane world due to fermion and antifermion pair condensation. That is a dynamical realization of the Randall-Sundrum model which solves the weak-Planck hierarchy problem.

Original languageEnglish
Article number085001
Pages (from-to)850011-8500112
Number of pages7650102
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number8
Publication statusPublished - 2002 Oct 15
Externally publishedYes


ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this