Published October 2015 | Version v1
Report Open

Non-perturbative test of the Witten-Veneziano formula from lattice QCD

Creators

  • 1. Poznan Univ. (Poland). Faculty of Physics
  • 2. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany). John von Neumann-Inst. fuer Computing NIC
  • 3. Frankfurt Univ. (Germany). Inst. fuer Theoretische Physik
  • 4. Humboldt-Universitaet, Berlin (Germany)
  • 5. Bonn Univ. (Germany). Bethe Center for Theoretical Physics
  • 6. Bonn Univ. (Germany). Institut fuer Strahlen- und Kernphysik

Description

We compute both sides of the Witten-Veneziano formula using lattice techniques. For the one side we perform dedicated quenched simulations and use the spectral projector method to determine the topological susceptibility in the pure Yang-Mills theory. The other side we determine in lattice QCD with Nf=2 +1+1 dynamical Wilson twisted mass fermions including for the first time also the flavour singlet decay constant. The Witten-Veneziano formula represents a leading order expression in the framework of chiral perturbation theory and we also employ leading order chiral perturbation theory to relate the flavor singlet decay constant to the relevant decay constant parameters in the quark flavor basis and flavor non-singlet decay constants. After taking the continuum and the SU(2) chiral limits we compare both sides and find good agreement within uncertainties.

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Additional details

Publishing Information

Imprint Pagination
31 p.
ISSN
0418-9833
Report number
DESY--15-051

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
47056820
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
CHIRALITY; COMPUTERIZED SIMULATION; CORRELATIONS; COUPLING CONSTANTS; EFFECTIVE MASS; EXTRAPOLATION; FLAVOR MODEL; KAONS; LATTICE FIELD THEORY; LEPTONIC DECAY; MONTE CARLO METHOD; PERTURBATION THEORY; PIONS; PROJECTION OPERATORS; QUANTUM CHROMODYNAMICS; QUARKS; SU-2 GROUPS; YANG-MILLS THEORY
Descriptors DEC
BASIC INTERACTIONS; BOSONS; CALCULATION METHODS; COMPOSITE MODELS; CONSTRUCTIVE FIELD THEORY; DECAY; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; HADRONS; INTERACTIONS; LIE GROUPS; MASS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MESONS; NUMERICAL SOLUTION; PARTICLE DECAY; PARTICLE MODELS; PARTICLE PROPERTIES; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; QUARK MODEL; SIMULATION; STRANGE MESONS; STRANGE PARTICLES; SU GROUPS; SYMMETRY GROUPS; WEAK INTERACTIONS; WEAK PARTICLE DECAY

Optional Information

Collaborations
The ETM collaboration
Secondary number(s)
SFB/CPP--14-123