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Radiative Corrections to Non‐Abelian Gauge Theory in Homogeneous Self‐Dual Backgrounds
Author(s) -
Eberlein C.,
Kaiser H. J.,
Wieczorek E.
Publication year - 1991
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.19915030506
Subject(s) - propagator , physics , abelian group , quantum gauge theory , gauge theory , mathematical physics , homogeneous , introduction to gauge theory , tensor field , quantum electrodynamics , regularization (linguistics) , hamiltonian lattice gauge theory , gauge fixing , gauge boson , quantum mechanics , mathematics , statistical physics , exact solutions in general relativity , pure mathematics , artificial intelligence , computer science
We study the Euclidean version of non‐Abelian gauge theories in homogeneous background fields with due regard of negative and zero modes of the gauge field kernel. For general gauge group and general background but without external currents we prove a relation between the propagators belonging to different gauge fixings. Specializing to a self‐dual homogeneous background we derive nonperturbatively the propagators. Next we calculate the matter field contribution to the renormalized polarization tensor using a modified dimensional regularization scheme. We prove the validity of a modified Ward identity.