Condensate $\langle A_{\mu}^+A_{\mu}^-\rangle$ and massive magnetic potential in Euclidean gauge theories

Hirohumi Sawayanagi

doi:10.1093/ptep/ptx149

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arXiv · 1710.05125

Condensate $\langle A_{\mu}^+A_{\mu}^-\rangle$ and massive magnetic potential in Euclidean gauge theories

Hirohumi Sawayanagi

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Abstract

Euclidean $SU(2)$ gauge theory is studied in a nonlinear gauge. In this theory, ghost condensation happens and gauge fields acquire tachyonic masses. It is shown that these tachyonic masses are removed by a gauge field condensate $\langle A_{\mu}^+A_{\mu}^-\rangle$. Because of the ghost condensation, monopole solutions are included naturally. We find the condensate $\langle A_{\mu}^+A_{\mu}^-\rangle$ makes the magnetic potential massive.

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Hirohumi Sawayanagi. 2017-10-14. Condensate $\langle A_{\mu}^+A_{\mu}^-\rangle$ and massive magnetic potential in Euclidean gauge theories. https://doi.org/10.1093/ptep%2Fptx149

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