Abstract
We identify a non-Hermitian chiral random matrix theory that corresponds to two-color QCD at high density. We show that the partition function of the random matrix theory coincides with the partition function of the finite-volume effective theory at high density, and that the Leutwyler-Smilga-type spectral sum rules of the random matrix theory are identical to those derived from the effective theory. The microscopic Dirac spectrum of the theory is governed by the BCS gap, rather than the conventional chiral condensate. We also show that with a different choice of a parameter the random matrix theory yields the effective partition function at low density.
| Original language | English |
|---|---|
| Article number | 081701 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 81 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2010 Apr 19 |
| Externally published | Yes |
Fingerprint
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Chiral random matrix theory for two-color QCD at high density. / Kanazawa, Takuya; Wettig, Tilo; Yamamoto, Naoki.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 81, No. 8, 081701, 19.04.2010.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Chiral random matrix theory for two-color QCD at high density
AU - Kanazawa, Takuya
AU - Wettig, Tilo
AU - Yamamoto, Naoki
PY - 2010/4/19
Y1 - 2010/4/19
N2 - We identify a non-Hermitian chiral random matrix theory that corresponds to two-color QCD at high density. We show that the partition function of the random matrix theory coincides with the partition function of the finite-volume effective theory at high density, and that the Leutwyler-Smilga-type spectral sum rules of the random matrix theory are identical to those derived from the effective theory. The microscopic Dirac spectrum of the theory is governed by the BCS gap, rather than the conventional chiral condensate. We also show that with a different choice of a parameter the random matrix theory yields the effective partition function at low density.
AB - We identify a non-Hermitian chiral random matrix theory that corresponds to two-color QCD at high density. We show that the partition function of the random matrix theory coincides with the partition function of the finite-volume effective theory at high density, and that the Leutwyler-Smilga-type spectral sum rules of the random matrix theory are identical to those derived from the effective theory. The microscopic Dirac spectrum of the theory is governed by the BCS gap, rather than the conventional chiral condensate. We also show that with a different choice of a parameter the random matrix theory yields the effective partition function at low density.
UR - http://www.scopus.com/inward/record.url?scp=77952407147&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77952407147&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.81.081701
DO - 10.1103/PhysRevD.81.081701
M3 - Article
AN - SCOPUS:77952407147
VL - 81
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 8
M1 - 081701
ER -