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The propagator of a gauge boson, like the massless photon or the massive vector bosons $W^pm$ and $Z$ of the electroweak theory, can be derived in two different ways, namely via Greens functions (semi-classical approach) or via the vacuum expectation value of the time-ordered product of the field operators (field theoretical approach). Comparing the semi-classical with the field theoretical approach, the central tensorial object can be defined as the gauge boson projector, directly related to the completeness relation for the complete set of polarisation four-vectors. In this paper we explain the relation for this projector to different cases of the $R_xi$ gauge and explain why the unitary gauge is the default gauge for massive gauge bosons.
The measurement of anomalous gauge boson self couplings is reviewed for a variety of present and planned accelerators. Sensitivities are compared for these accelerators using models based on the effective Lagrangian approach. The sensitivities descri
The Standard Model (SM) Higgs Lagrangian is straightforwardly rewritten into the {it scale-invariant} nonlinear sigma model $G/H=[SU(2)_L times SU(2)_R]/SU(2)_{V}simeq O(4)/O(3)$, with the (approximate) scale symmetry realized nonlinearly by the (pse
In principle, observables as for example the sphaleron rate or the tunneling rate in a first-order phase transition are gauge-independent. However, in practice a gauge dependence is introduced in explicit perturbative calculations due to the breakdow
The perturbative effective potential suffers infrared (IR) divergences in gauges with massless Goldstones in their minima (like Landau or Fermi gauges) but the problem can be fixed by a suitable resummation of the Goldstone propagators. When the pote
We present the results obtained by the Triple Gauge Couplings working group during the LEP2 Workshop (1994-1995). The report concentrates on the measurement of $WWgamma$ and $WWZ$ couplings in $e^-e^+to W^-W^+$ or, more generally, four-fermion produc