One-loop self-energy and counterterms in a massive Yang-Mills theory based on the nonlinearly realized gauge group

@article{Bettinelli2007OneloopSA,
  title={One-loop self-energy and counterterms in a massive Yang-Mills theory based on the nonlinearly realized gauge group},
  author={Daniele Bettinelli and Ruggero Ferrari and Andrea Quadri},
  journal={Physical Review D},
  year={2007},
  volume={77},
  pages={105012}
}
In this paper, we evaluate the self-energy of the vector mesons at one loop in our recently proposed subtraction scheme for the massive nonlinearly realized SU(2) Yang-Mills theory. We check the fulfillment of physical unitarity. The resulting self-mass can be compared with the value obtained in the massive Yang-Mills theory based on the Higgs mechanism, consisting in extra terms due to the presence of the Higgs boson (tadpoles included). Moreover, we evaluate all the one-loop counterterms… 

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References

SHOWING 1-5 OF 5 REFERENCES

Massive Yang-Mills theory based on the nonlinearly realized gauge group

We propose a subtraction scheme for a massive Yang-Mills theory realized via a nonlinear representation of the gauge group [here $SU(2)$]. It is based on the subtraction of the poles in

Endowing the nonlinear sigma model with a flat connection structure: a way to renormalization

We discuss the quantized theory of a pure-gauge non-abelian vector field (flat connection) as it would appear in a mass term ? la St?ckelberg. However the paper is limited to the case where only the

FURTHER COMMENTS ON THE SYMMETRIC SUBTRACTION OF THE NONLINEAR SIGMA MODEL

Recently a perturbative theory has been constructed, starting from the Feynman rules of the nonlinear sigma model at the tree level in the presence of an external vector source coupled to the flat