Quantum fluctuations of the quark condensate

Details Quantum fluctuations of the quark condensate Quantum fluctuations of the quark condensate

2000-03-21

arxiv.org/abs/hep-ph/0003201v1

Nucl.Phys.A683:463-486,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

latex potpot.tex, 11 files, 31 pages [SPhT-T00/040], submitted to Nucl. Phys. A

Scientific paper

10.1016/S0375-9474(00)00516-9

The quantum fluctuations of the quark condensate are studied in a Nambu Jona-Lasinio model. Two Lorenz invariant regularizations are considered: a sharp 4-momentum cut-off and a soft gaussian regulator. The quantum fluctuations of the quark condensate are found to be large although chiral symmetry is not restored. Instabilities of the ground state appear when the system is probed by a source term proportional to the squared quark condensate. The instabilities are traced to unphysical poles introduced by the regulator and their effect is greatly enhanced when a sharp cut-off is used.

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