The microscopic spectral density of the QCD Dirac operator

Damgaard, P.H.; Osborn, J.C.; Toublan, D.; Verbaarschot, J.J.M.

doi:10.1016/S0550-3213(99)00094-2

The microscopic spectral density of the QCD Dirac operator

P.H. Damgaard
(
- Bohr Inst.
)
,
J.C. Osborn
(
- SUNY, Stony Brook
)
,
D. Toublan
(
- SUNY, Stony Brook
)
,
J.J.M. Verbaarschot
(
- SUNY, Stony Brook
)

Nov, 1998

26 pages

Published in:

Nucl.Phys.B 547 (1999) 305-328

e-Print:

hep-th/9811212 [hep-th]

DOI:

10.1016/S0550-3213(99)00094-2

Report number:

SUNY-NTG-98-62,
NBI-HE-98-38

View in:

pdf

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Abstract:

We derive the microscopic spectral density of the Dirac operator in

SU(N_c\geq 3)

Yang-Mills theory coupled to

N_f

fermions in the fundamental representation. An essential technical ingredient is an exact rewriting of this density in terms of integrations over the super Riemannian manifold

Gl(N_f+1|1)

. The result agrees exactly with earlier calculations based on Random Matrix Theory.

Note:

26 pages, Latex Report-no: SUNY-NTG-98/62, NBI-HE-98-38

quantum chromodynamics
fermion: flavor
operator: Dirac
spectrum: density
superspace: parametrization
space-time: measure
condensation: chiral
mass dependence
quark: valence
matrix model: random

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