Leutwyler-smilga sum rules in the schwinger model

L. Shifrin; J. J.M. Verbaarschot

doi:10.1063/1.2714376

Leutwyler-smilga sum rules in the schwinger model

L. Shifrin
, J. J.M. Verbaarschot

Physics and Astronomy

Stony Brook University
Brunel University London

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We outline the microscopic derivation of the subset of Leutwyler-Smilga spectral sum rules in the 2-dimensional Schwinger model. As a side result, we obtain an expression for the sum rule in any external gauge field, for an arbitrary topological sector. This result generalizes the one due to Smilga, and may in principle be checked in lattice simulations of the model.

Original language	English
Title of host publication	QUARK CONFINEMENT AND THE HADRON SPECTRUM VII
Subtitle of host publication	7th Conference on Quark Confinement and the Hadron Spectrum, QCHS7
Pages	217-219
Number of pages	3
DOIs	https://doi.org/10.1063/1.2714376
State	Published - 2007
Event	QUARK CONFINEMENT AND THE HADRON SPECTRUM VII: 7th Conference on Quark Confinement and the Hadron Spectrum, QCHS7 - Ponta Delgada, Acores, Portugal Duration: Sep 2 2006 → Sep 7 2006

Publication series

Name	AIP Conference Proceedings
Volume	892
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	QUARK CONFINEMENT AND THE HADRON SPECTRUM VII: 7th Conference on Quark Confinement and the Hadron Spectrum, QCHS7
Country/Territory	Portugal
City	Ponta Delgada, Acores
Period	09/2/06 → 09/7/06

Keywords

2 Dimensions
Chiral symmetry breaking
Dirac operator

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10.1063/1.2714376

Cite this

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title = "Leutwyler-smilga sum rules in the schwinger model",

abstract = "We outline the microscopic derivation of the subset of Leutwyler-Smilga spectral sum rules in the 2-dimensional Schwinger model. As a side result, we obtain an expression for the sum rule in any external gauge field, for an arbitrary topological sector. This result generalizes the one due to Smilga, and may in principle be checked in lattice simulations of the model.",

keywords = "2 Dimensions, Chiral symmetry breaking, Dirac operator",

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year = "2007",

doi = "10.1063/1.2714376",

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series = "AIP Conference Proceedings",

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booktitle = "QUARK CONFINEMENT AND THE HADRON SPECTRUM VII",

note = "QUARK CONFINEMENT AND THE HADRON SPECTRUM VII: 7th Conference on Quark Confinement and the Hadron Spectrum, QCHS7 ; Conference date: 02-09-2006 Through 07-09-2006",

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Shifrin, L & Verbaarschot, JJM 2007, Leutwyler-smilga sum rules in the schwinger model. in QUARK CONFINEMENT AND THE HADRON SPECTRUM VII: 7th Conference on Quark Confinement and the Hadron Spectrum, QCHS7. AIP Conference Proceedings, vol. 892, pp. 217-219, QUARK CONFINEMENT AND THE HADRON SPECTRUM VII: 7th Conference on Quark Confinement and the Hadron Spectrum, QCHS7, Ponta Delgada, Acores, Portugal, 09/2/06. https://doi.org/10.1063/1.2714376

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N2 - We outline the microscopic derivation of the subset of Leutwyler-Smilga spectral sum rules in the 2-dimensional Schwinger model. As a side result, we obtain an expression for the sum rule in any external gauge field, for an arbitrary topological sector. This result generalizes the one due to Smilga, and may in principle be checked in lattice simulations of the model.

AB - We outline the microscopic derivation of the subset of Leutwyler-Smilga spectral sum rules in the 2-dimensional Schwinger model. As a side result, we obtain an expression for the sum rule in any external gauge field, for an arbitrary topological sector. This result generalizes the one due to Smilga, and may in principle be checked in lattice simulations of the model.

KW - 2 Dimensions

KW - Chiral symmetry breaking

KW - Dirac operator

UR - https://www.scopus.com/pages/publications/33947730311

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DO - 10.1063/1.2714376

M3 - Conference contribution

AN - SCOPUS:33947730311

SN - 0735403961

SN - 9780735403963

T3 - AIP Conference Proceedings

SP - 217

EP - 219

BT - QUARK CONFINEMENT AND THE HADRON SPECTRUM VII

T2 - QUARK CONFINEMENT AND THE HADRON SPECTRUM VII: 7th Conference on Quark Confinement and the Hadron Spectrum, QCHS7

Y2 - 2 September 2006 through 7 September 2006

ER -

Leutwyler-smilga sum rules in the schwinger model

Abstract

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Keywords

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