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  • 1
    Electronic Resource
    Electronic Resource
    The renormalization group of the model ofA 4-coupling in the abstract approach of quantum field theory (1980)
    Springer
    Communications in mathematical physics 76 (1980), S. 39-64 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract For the model ofA 4-interaction the postulates of the renormalization group are stated within the abstract approach of quantum field theory. In the massive case these postulates follow if an on-shell formulation of the model is assumed to exist. For the massless model the postulates of the renormalization group imply that the propagator has a pole at momentum zero. Consequently there is no dynamic mass generation and the propagator is normalizable on the mass shell. It is shown that theS-matrix elements scale with canonical dimensions. A general method of rescaling parameter values is developed which takes into account the possibility of propagator zeros and stationary points of the effective coupling.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01197109
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