On the renormalization of the bosonized multi-flavor Schwinger model

Details On the renormalization of the bosonized multi-flavor Schwinger model On the renormalization of the bosonized multi-flavor Schwinger model

2007-07-18

arxiv.org/abs/0707.2745v2

Phys.Lett.B662:302-308,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 2 figures, final version, published in Physics Letters B

Scientific paper

10.1016/j.physletb.2008.03.011

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.

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