On the fermionic signature of the lattice monopoles

Details On the fermionic signature of the lattice monopoles On the fermionic signature of the lattice monopoles

2001-07-11

arxiv.org/abs/hep-ph/0107130v2

Phys.Rev. D65 (2002) 094020

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, RevTeX 4. An extended version, to be published in the Physical Review D

Scientific paper

10.1103/PhysRevD.65.094020

We consider fermions in the field of static monopole-like configurations in the Euclidean space-time. In all the cases considered there exists an infinite number of zero modes, labeled by frequency i\omega. The existence of such modes is a manifestation of instability of the vacuum in the presence of the monopoles and massless fermions. In the Minkowski space the corresponding phenomenon is well known and is a cornerstone of the theory of the magnetic catalysis. Moreover, the well known zero mode of Jackiw and Rebbi corresponds to the limiting case, \omega = 0. We provide arguments why the chiral condensate could be linked to the density of the monopoles in the infrared cluster. A mechanism which can naturally explain the equivalence of the critical temperatures for the deconfinement and chiral transitions, is proposed. We discuss possible implications for the phenomenology of the lattice monopoles.

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