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On the Light‐Cone Expansion in Gauge Field Theories (QED)
Author(s) -
Bordag M.,
Kaschluhn L.
Publication year - 1987
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19874990405
Subject(s) - physics , light cone , light cone gauge , brst quantization , gauge theory , introduction to gauge theory , quantum field theory , scalar field , supersymmetric gauge theory , formalism (music) , mathematical physics , gauge fixing , scalar (mathematics) , quantum electrodynamics , regularization (linguistics) , theoretical physics , gauge boson , mathematics , geometry , art , visual arts , artificial intelligence , computer science , musical
The techniques for the derivation of light‐cone expansions in scalar field theories are generalized to nonscalar, especially gauge field theories. For this reason the smallness of the remainder is proved in an arbitrary renormalizable theory provided an infrared regularization is present. Then we apply the formalism to derive a light‐cone expansion for the product of two scalar currents in Quantum Electrodynamics in leading order. Thereby the gauge‐invariance of the underlying theory is used from the very beginning by the application of the known solutions of the Ward identities. As a result of that, one obtains two gauge‐invariant light cone operators, and the corresponding coefficient functions are independent one from another.