Kenkyu-Honkan bldg. 1F - Kobayashi Hall
Complex poles and spectral functions of Yang-Mills theory
- Ms. Yui HAYASHI
We derive a relation between the number of complex poles of a propagator and some behavior of the spectral function assuming the behavior of the propagator in the neighborhood of the origin and the asymptotically large region in the complex momentum plane. We apply this relation to the mass-deformed Yang-Mills model, which is identified with a low-energy effective theory of the Yang-Mills theory, to show within one-loop quantum corrections that the gluon propagator has a pair of complex conjugate poles or tachyonic poles of multiplicity two, while the ghost propagator has at most one tachyonic pole. Moreover, we discuss the implications of these results for gluon confinement.