Glueball masses from ratios of path integrals

Michele Della Morte, Leonardo Giusti

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

By generalizing our previous work on the parity symmetry, the partition function of a Yang-Mills theory is decomposed into a sum of path integrals each giving the contribution from multiplets of states with fixed quantum numbers associated to parity, charge conjugation, translations, rotations and central conjugations. Ratios of path integrals and correlation functions can then be computed with a multi-level Monte Carlo integration scheme whose numerical cost, at a fixed statistical precision and at asymptotically large times, increases power-like with the time extent of the lattice. The strategy is implemented for the SU(3) Yang-Mills theory, and a full-fledged computation of the mass and multiplicity of the lightest glueball with vacuum quantum numbers is carried out at two values of the lattice spacing (0.17 and 0.12 fm).
OriginalsprogUdefineret/Ukendt
TidsskriftP o S - Proceedings of Science
ISSN1824-8039
StatusUdgivet - 27. sep. 2011

Bibliografisk note

Poster contribution to Lattice 2011. 7 pages, 2 tables, 2 figures

Emneord

  • hep-lat

Citer dette

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Glueball masses from ratios of path integrals. / Morte, Michele Della; Giusti, Leonardo.

I: P o S - Proceedings of Science, 27.09.2011.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Glueball masses from ratios of path integrals

AU - Morte, Michele Della

AU - Giusti, Leonardo

N1 - Poster contribution to Lattice 2011. 7 pages, 2 tables, 2 figures

PY - 2011/9/27

Y1 - 2011/9/27

N2 - By generalizing our previous work on the parity symmetry, the partition function of a Yang-Mills theory is decomposed into a sum of path integrals each giving the contribution from multiplets of states with fixed quantum numbers associated to parity, charge conjugation, translations, rotations and central conjugations. Ratios of path integrals and correlation functions can then be computed with a multi-level Monte Carlo integration scheme whose numerical cost, at a fixed statistical precision and at asymptotically large times, increases power-like with the time extent of the lattice. The strategy is implemented for the SU(3) Yang-Mills theory, and a full-fledged computation of the mass and multiplicity of the lightest glueball with vacuum quantum numbers is carried out at two values of the lattice spacing (0.17 and 0.12 fm).

AB - By generalizing our previous work on the parity symmetry, the partition function of a Yang-Mills theory is decomposed into a sum of path integrals each giving the contribution from multiplets of states with fixed quantum numbers associated to parity, charge conjugation, translations, rotations and central conjugations. Ratios of path integrals and correlation functions can then be computed with a multi-level Monte Carlo integration scheme whose numerical cost, at a fixed statistical precision and at asymptotically large times, increases power-like with the time extent of the lattice. The strategy is implemented for the SU(3) Yang-Mills theory, and a full-fledged computation of the mass and multiplicity of the lightest glueball with vacuum quantum numbers is carried out at two values of the lattice spacing (0.17 and 0.12 fm).

KW - hep-lat

M3 - Tidsskriftartikel

JO - P o S - Proceedings of Science

JF - P o S - Proceedings of Science

SN - 1824-8039

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