Abstract:We treat the fluctuations of non-Abelian gauge fields around a classical
configuration by means of a transformation from the Yang--Mills gauge field to
a homogeneously transforming field variable. We use the formalism to compute
the effective action induced by these fluctuations in a static background
without Wu--Yang ambiguity.Comment: 4 pages, no figure
“…(The computation involves solving the equation of motion for the probe in a classical background field, a widely used approach in this subject area [135][136][137][138][139][140][141][142][143][144][145][146][147][148], and a subsequent averaging over configurations.) The nuclear density function be given by the Woods-Saxon distribution [149] ρ…”
We study the role new gauge interactions in extensions of the standard model play in air showers initiated by ultrahigh-energy cosmic rays. Hadron-hadron events remain dominated by quantum chromodynamics, while projectiles and/or targets from beyond the standard model permit us to see qualitative differences arising due to the new interactions.
“…(The computation involves solving the equation of motion for the probe in a classical background field, a widely used approach in this subject area [135][136][137][138][139][140][141][142][143][144][145][146][147][148], and a subsequent averaging over configurations.) The nuclear density function be given by the Woods-Saxon distribution [149] ρ…”
We study the role new gauge interactions in extensions of the standard model play in air showers initiated by ultrahigh-energy cosmic rays. Hadron-hadron events remain dominated by quantum chromodynamics, while projectiles and/or targets from beyond the standard model permit us to see qualitative differences arising due to the new interactions.
Characterising the propagation of particles in an external non-Abelian field only in terms of invariants constructed from its field tensor is not always sufficient, especially, in many analytically tractable and phenomenologically interesting cases.
The problem of vacuum instability and creation of pairs by external fields SU (2) is studied. The effective mass operator has complex eigenvalues implying decay and pair creation. We consider a constant external chromoelectric field a find a region in the parameter space where the vaccum becomes unstable and decays in pairs. Although the calculation is done in SU (2) color group it is also valid for SU (3).
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