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Generating functional for gauge-invariant Green's functions

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  • Sommerfield, Charles M.

Abstract

A generating functional to be used for calculating gauge-invariant Green's functions of a non-Abelian gauge theory is constructed in terms of an unconstrained external current. This functional is a singular distribution and so must be treated as the limit of a well-defined functional, one particular choice of which is that for a massive gauge theory as the mass goes to zero. It is suggested that the gauge-invariant Green's functions so obtained may be smooth in this limit.

Suggested Citation

  • Sommerfield, Charles M., 1979. "Generating functional for gauge-invariant Green's functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 96(1), pages 309-314.
    • Handle: RePEc:eee:phsmap:v:96:y:1979:i:1:p:309-314
    DOI: 10.1016/0378-4371(79)90220-6
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