Lattice charge overlap and the elastic limit
نویسنده
چکیده
The results of a lattice simulation of time-separated charge overlap for the charged pion are discussed. The expected result ∼ exp[−(Eq − mπ)t ] for large charge density overlap time separations, t, is clearly visible in the Fourier transform, indicating that the elastic limit can be achieved at low to medium momentum values on present-sized lattices. The implications of this result for direct lattice simulations of hadron structure functions are discussed and a brief presentation of the lattice formalism is given.
منابع مشابه
Lattice Charge Overlap I: Elastic Limit of Pi and Rho Mesons
Using lattice QCD on a 163 × 24 lattice at β = 6.0, we examine the elastic limit of charge overlap functions in the quenched approximation for the pion and rho meson; results are compared to previous direct current insertion calculations. A good signal is seen for the pion, but the electric and magnetic rho meson results are considerably noisier. We find that the pion and rho results are charac...
متن کاملLattice Charge Overlap II: Aspects of Charged Pion Polarizability
Formulas are developed for use in lattice studies of charged hadron polarizabilities. In particular, the valence quark different-flavor component of the charged pion polarizability is examined on a 163 × 24 lattice at β = 6.0 using Wilson fermions. Using the elastic limit results of Part I of this series, it is concluded that this represents a small negative component of the full charged polari...
متن کاملLattice Charge Overlap: Towards the Elastic Limit
A numerical investigation of time-separated charge overlap measurements is carried out for the pion in the context of lattice QCD using smeared Wilson fermions. The evolution of the charge distribution function is examined and the expected asymptotic time behavior ∼ e −(Eq−mπ)t , where t represents the charge density relative time separation, is clearly visible in the Fourier transform. Values ...
متن کاملAxial anomaly and topological charge in lattice gauge theory with overlap Dirac operator
A careful and detailed evaluation of the classical continuum limit of the axial anomaly/index density of the overlap Dirac operator is carried out in the infinite volume setting, and in a certain finite volume setting where the continuum limit involves an infinite volume limit. The correct continuum expression is reproduced when the parameter m0 is in the physical region 0 < m0 < 2. This is est...
متن کاملThe Negativity of the Overlap-Based Topological Charge Density Correlator in Pure–Glue QCD and the Non-Integrable Nature of its Contact Part
We calculate the lattice two-point function of topological charge density in pure-glue QCD using the discretization of the operator based on the overlap Dirac matrix. Utilizing data at three lattice spacings it is shown that the continuum limit of the correlator complies with the requirement of non-positivity at non-zero distances. For our choice of the overlap operator and the Iwasaki gauge ac...
متن کامل