Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-07-13
Nucl.Phys. B539 (1999) 691-719
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, LaTeX
Scientific paper
10.1016/S0550-3213(98)00774-3
By using the enlarged BRS transformations we control the gauge parameter dependence of Green functions in the background field gauge. We show that it is unavoidable -- also if we consider the local Ward identity -- to introduce the normalization gauge parameter $\xi_o$, which enters the Green functions of higher orders similarly to the normalization point $\kappa$. The dependence of Green functions on $\xi_o$ is governed by a further partial differential equation. By modifying the Ward identity we are able to construct in 1-loop order a gauge parameter independent combination of 2-point vector and background vector functions. By explicit construction of the next orders we show that this combination can be used to construct a gauge parameter independent RG-invariant charge. However, it is seen that this RG-invariant charge does not satisfy the differential equation of the normalization gauge parameter $\xi_o$, and, hence, is not $\xi_o$-independent as required.
Haeussling Rainer
Kraus Elisabeth
Sibold Klaus
No associations
LandOfFree
Gauge parameter dependence in the background field gauge and the construction of an invariant charge does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gauge parameter dependence in the background field gauge and the construction of an invariant charge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge parameter dependence in the background field gauge and the construction of an invariant charge will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-594455