On the renormalization of the bosonized multi-flavor Schwinger model
نویسنده
چکیده
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.
منابع مشابه
Mesonic Spectra of Bosonized QCD2 Models
We discuss bosonized two-dimensional QCD with massless fermions in the adjoint and multi-flavor fundamental representations. We evaluate the massive mesonic spectra of several models by using the lightfront quantization and diagonalizing the mass operator M2 = 2P+P−. We recover previous results in the case of one flavor adjoint fermions and we find the exact massive spectrum of multi flavor QCD...
متن کاملSolving Mean Field Ambiguity by Flow Equations
We compare different methods used for non-perturbative calculations in strongly interacting fermionic systems. Mean field theory shows a basic ambiguity related to the possibility to perform Fierz transformations. The results depend strongly on an unphysical parameter which reflects the choice of the mean field. Renormalization group equations in a partially bosonized setting can overcome this ...
متن کاملMassive Schwinger model and its confining aspects on curved space – time
Using a covariant method to regularize the composite operators, we obtain the bosonized action of the massive Schwinger model on a classical curved background. Using the solution of the bosonic effective action, the energy of two static external charges with finite and large distance separation on a static curved space–time is obtained. The confining behavior of this model is also explicitly di...
متن کاملTime-Dependent Real-Space Renormalization Group Method
In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...
متن کاملMesons in the massive Schwinger model on the light cone.
We investigate mesons in the bosonized massive Schwinger model in the light-front Tamm-Dancoff approximation in the strong coupling region. We confirm that the three-meson bound state has a few percent fermion six-body component in the strong coupling region when expressed in terms of fermion variables, consistent with our previous calculations. We also discuss some qualitative features of the ...
متن کامل