Paramagnetic dominance , the sign of the beta function and UV / IR mixing in non-commutative U ( 1 )

@inproceedings{Ruiz2000ParamagneticD,
  title={Paramagnetic dominance , the sign of the beta function and UV / IR mixing in non-commutative U ( 1 )},
  author={Francisco J. R. Ruiz},
  year={2000}
}
U(1) gauge theory on non-commutative Minkowski space-time in the Feynman-'t Hooft background gauge is studied. In particular, UV divergences and non-commutative IR divergent contributions to the two, three and four-point functions are explicitly computed at one loop. We show that the negative sign of the beta function results from paramagnetism –producing UV charge anti-screening– prevailing over diamagnetism –giving rise toUV charge screening. This dominance in the field theory setting… CONTINUE READING
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