On the renormalization of the bosonized multi-flavor Schwinger model

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The phase structure of the bosonized multi-flavor Schwinger model is investigated by means of the differential renormalization group (RG) method. In the limit of small fermion mass the linearized RG flow is sufficient to determine the low-energy behavior of the N-flavor model, if it has been rotated by a suitable rotation in the internal space. For large fermion mass, the exact RG flow has been solved numerically. The low-energy behavior of the multi-flavor model is rather different depending on whether N = 1 or N > 1, where N is the number of flavors. For N > 1 the reflection symmetry always suffers breakdown in both the weak and strong coupling regimes, in contrary to the N = 1 case, where it remains unbroken in the strong coupling phase.

Original languageEnglish
Pages (from-to)302-308
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number3
Publication statusPublished - Apr 24 2008


  • Field theories in dimensions other than four
  • Renormalization group

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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