θ Vacuum

A matrix model

Romuald A. Janik, Maciej A. Nowak, G. Papp, Ismail Zahed

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

We model the effects of a large number of zero modes for Nf species of quarks at finite vacuum angle θ, using a matrix model with Gaussian weights constrained by the topological susceptibility and compressibility. The quenched free energy exhibits a cusp at θ <π that is sensitive to the accuracy of the numerical analysis and the maximum density of winding modes. Our results bear much in common with recent lattice simulations by Schierholz and others. The unquenched free energy exhibits similar sensitivities, but for small quark masses or a large density of zero modes the results are in agreement with those derived using anomalous Ward identities and effective Lagrangians.

Original languageEnglish
Title of host publicationActa Physica Polonica B
Pages1297-1315
Number of pages19
Volume32
Edition4
Publication statusPublished - 2001

Fingerprint

vacuum
matrices
free energy
quarks
bears
cusps
compressibility
numerical analysis
magnetic permeability
sensitivity
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Janik, R. A., Nowak, M. A., Papp, G., & Zahed, I. (2001). θ Vacuum: A matrix model. In Acta Physica Polonica B (4 ed., Vol. 32, pp. 1297-1315)

θ Vacuum : A matrix model. / Janik, Romuald A.; Nowak, Maciej A.; Papp, G.; Zahed, Ismail.

Acta Physica Polonica B. Vol. 32 4. ed. 2001. p. 1297-1315.

Research output: Chapter in Book/Report/Conference proceedingChapter

Janik, RA, Nowak, MA, Papp, G & Zahed, I 2001, θ Vacuum: A matrix model. in Acta Physica Polonica B. 4 edn, vol. 32, pp. 1297-1315.
Janik RA, Nowak MA, Papp G, Zahed I. θ Vacuum: A matrix model. In Acta Physica Polonica B. 4 ed. Vol. 32. 2001. p. 1297-1315
Janik, Romuald A. ; Nowak, Maciej A. ; Papp, G. ; Zahed, Ismail. / θ Vacuum : A matrix model. Acta Physica Polonica B. Vol. 32 4. ed. 2001. pp. 1297-1315
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