Topological contributions to the partition function for 2D massive fermions

M. V. MANÍAS; C. M. NAÓN; M.L. TROBO

JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL

IOP

Lugar: Bristol, Reino Unido; Año: 1994 vol. 27 p. 923 - 929

0305-4470

We study the contribution of topologically non-trivial sectors to the vacuum functional Zm of a model of massive fermions in two dimensions. By using recent results on non-minimal correlation functions we can write Zm as a kind of sector expansion. In this series, the contribution of each sector is given by integrals of minimal correlation functions evaluated in the massless theory. Finally we comment on the application of our result to the analysis of some special cases. In particular we briefly show that