Disposal tax effect

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[MM+β(g)g+nγ]G(n)(x1,x2,,xn;M,g)=0

being β(g) the beta function and γ the scaling of the fields.

In quantum electrodynamics this equation takes the form

[MM+β(e)e+nγ2+mγ3]G(n,m)(x1,x2,,xn;M,e)=0

being n and m the number of electrons and photons respectively.

It was discovered independently by Curtis Callan[1] and Kurt Symanzik[2][3] in 1970. Later it was used to understand asymptotic freedom.

This equation arises in the framework of renormalization group. It is possible to treat the equation using perturbation theory.

See also

Notes

  1. C. G. Callan, Jr., Broken Scale Invariance in Scalar Field Theory, Phys. Rev. D 2, 1541–1547 (1970). APS
  2. K. Symanzik, Small Distance Behaviour in Field Theory and Power Counting, Commun. math. Phys. 18, 227 (1970). SpringerLink
  3. K. Symanzik, Small-Distance-Behaviour Analysis and Wilson Expansions, Commun. math. Phys. 23, 49 (1971). SpringerLink

References