Spectral sum rules and Selberg's integral formula

Jacobus Verbaarschot

doi:10.1016/0370-2693(94)90784-6

Spectral sum rules and Selberg's integral formula

Jacobus Verbaarschot

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

Abstract

Using Selberg's integral formula we derive all Leutwyler-Smilga type sum rules for one and two flavors, and for each of the three chiral random matrix ensembles. In agreement with arguments from effective field theory, all sum rules for N_f=1 coincide for the three ensembles. The connection between spectral correlations and the low-energy effective partition function is discussed.

Original language	English
Pages (from-to)	351-357
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	329
Issue number	2-3
DOIs	https://doi.org/10.1016/0370-2693(94)90784-6
State	Published - Jun 16 1994

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title = "Spectral sum rules and Selberg's integral formula",

abstract = "Using Selberg's integral formula we derive all Leutwyler-Smilga type sum rules for one and two flavors, and for each of the three chiral random matrix ensembles. In agreement with arguments from effective field theory, all sum rules for Nf=1 coincide for the three ensembles. The connection between spectral correlations and the low-energy effective partition function is discussed.",

author = "Jacobus Verbaarschot",

year = "1994",

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doi = "10.1016/0370-2693(94)90784-6",

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T1 - Spectral sum rules and Selberg's integral formula

AU - Verbaarschot, Jacobus

PY - 1994/6/16

Y1 - 1994/6/16

N2 - Using Selberg's integral formula we derive all Leutwyler-Smilga type sum rules for one and two flavors, and for each of the three chiral random matrix ensembles. In agreement with arguments from effective field theory, all sum rules for Nf=1 coincide for the three ensembles. The connection between spectral correlations and the low-energy effective partition function is discussed.

AB - Using Selberg's integral formula we derive all Leutwyler-Smilga type sum rules for one and two flavors, and for each of the three chiral random matrix ensembles. In agreement with arguments from effective field theory, all sum rules for Nf=1 coincide for the three ensembles. The connection between spectral correlations and the low-energy effective partition function is discussed.

UR - https://www.scopus.com/pages/publications/4243989889

U2 - 10.1016/0370-2693(94)90784-6

DO - 10.1016/0370-2693(94)90784-6

M3 - Article

AN - SCOPUS:4243989889

SN - 0370-2693

VL - 329

SP - 351

EP - 357

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2-3

ER -

Spectral sum rules and Selberg's integral formula

Abstract

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