Hadron interactions from lattice QCD

We extend the Rome-Southampton regularization independent momentumsubtraction renormalization scheme(RI/MOM) for bilinear operators to one with a nonexceptional, symmetric subtraction point. Two-point Green's functions with the insertion of quark bilinear operators are computed with scalar, pseudoscalar, vector, axial-vector and tensor operators at one-loop order in perturbative QCD. We call this new scheme RI/SMOM, where the S stands for "symmetric". Conversion factors are derived, which connect the RI/SMOM scheme and the MS scheme and can be used to convert results obtained in lattice calculations into the MS scheme. Such a symmetric subtraction point involves nonexceptional momenta implying a lattice calculation with substantially suppressed contamination from infrared effects. Further, we find that the size of the one-loop corrections for these infrared improved kinematics is substantially decreased in the case of the pseudoscalar and scalar operator, suggesting a much better behaved perturbative series. Therefore it should allow us to reduce the error in the determination of the quark mass appreciably.

show abstract

“…A nonperturbative test of the RI/SMOM scheme for the quark mass renormalization can be found in Ref. [17].…”

Section: Introductionmentioning

confidence: 99%

Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point

et al. 2009

View full text Add to dashboard Cite

show abstract

“…In [13,14], it is shown that the energy-dependent potential can be converted to the energy-independent but non-local potential as…”

Section: Discussionmentioning

confidence: 99%

Energy dependence of nucleon-nucleon potentials

Aoki¹

2009

Proceedings of the XXVI International Symposium on Lattice Field Theory — PoS(LATTICE 2008)

Self Cite

View full text Add to dashboard Cite

We investigate the energy dependence of potentials defined through the Bethe-Salpeter wave functions. We analytically evaluate such a potential in the Ising field theory in 2 dimensions and show that its energy dependence is weak at low energy. We then numerically calculate the nucleonnucleon potential at non-zero energy using quenched QCD with anti-periodic boundary condition. In this case we also observe that the potentials are almost identical at E ≅ 0 and E ≅ 50 MeV, where E is the center of mass kinetic energy.

show abstract

“…In other words, the BS wave function defined above can be interpreted as the N N scattering wave. Based on the above fact, we have proposed the following strategy to define and extract the N N potential in QCD [14,15] . We define a non-local potential from the BS wave function as…”

Section: Strategy To Extract Potentials In Qcdmentioning

confidence: 99%

Baryon-Baryon Interactions from Lattice QCD

Aoki

2010

Preprint

Self Cite

View full text Add to dashboard Cite

We report on new attempt to investigate baryon-baryon interactions in lattice QCD. From the Bethe-Salpeter (BS) wave function, we have successfully extracted the nucleon-nucleon (N N ) potentials in quenched QCD simulations, which reproduce qualitative features of modern N N potentials. The method has been extended to obtain the tensor potential as well as the central potential and also applied to the hyperonnucleon (Y N ) interactions, in both quenched and full QCD.

show abstract

Hadron interactions from lattice QCD

Cited by 8 publications

References 33 publications

Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point

Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point

Energy dependence of nucleon-nucleon potentials

Baryon-Baryon Interactions from Lattice QCD

Contact Info

Product

Resources

About