Author: Urs Format: MarkdownItexam slowly adding some more details on the nature of the pion field, such as its appearance as the "exponentiated pion field"
$$
e^{i \vec \pi/f_\pi}
\;\colon\;
\mathbb{R}^{0,1} \times (\mathbb{R}^3)^{cpt}
\;=\;
\mathbb{R}^{0,1} \times S^3
\longrightarrow
SU(2)
$$
<a href="https://ncatlab.org/nlab/revision/diff/pion/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/pion/7">v7</a>, <a href="https://ncatlab.org/nlab/show/pion">current</a>
am slowly adding some more details on the nature of the pion field, such as its appearance as the “exponentiated pion field”