コロキウムのお知らせ

Instantons in pure Yang-Mills theories on partially periodic space R^3 times S^1 are usually called calorons. The background periodicity brings on characteristic features of calorons such as non-trivial holonomy, which plays an essential role for confinement/deconfinement transition in pure Yang-Mills gauge theory. For the case of gauge group $SU(2)$, calorons can be interpreted as composite objects of two constituent ``monopoles" with opposite magnetic charges. We give a fundamental review on the ADHM/Nahm construction for calorons.

There are often the cases that the two monopole charges of costituents are unbalanced so that the calorons possess net magnetic charge in R^3. We consider several mechanism how such net magnetic charges appear for certain types of calorons through the ADHM/Nahm construction with explicit examples. In particular, we construct analytically the gauge configuration of the (2,1)-caloron with U(1)-symmetry, which has intrinsically magnetic charge.