On Nonleptonic Decays

Furui, Shin-ya; Tsuchida, Tetsuya; Fujii, Kanji; Kawasaki, Shōichiro

doi:10.1143/ptp.39.1278

Cited by 2 publications

(7 citation statements)

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“…α G = 0 even when the color antisymmetric ghost exists. In [21], I showed that color antisymmetric ghosts yield a dominant component of the propagator const/q 2 in UV when the IR exponent has α G = 0.5. In the next section I discuss the gluon-ghost-ghost vertex.…”

Section: Ghost Propagators In Lattice Simulationsmentioning

confidence: 99%

“…In [21], I showed that in the triple gluon vertex and in the gluon-ghost-ghost vertex, product of color antisymmetric ghost produces real matrix elements when the product makes a color index in Cartan subalgebra. The vertex can be inserted in the ghost propagator as in Fig.4 or in the gluon propagator as in Fig.5.…”

Section: Color Antisymmetric Ghost In the Gluon-ghost-ghost Vertexmentioning

confidence: 99%

“…On the contrary, in the gluon propagator, color indices e, d, h shown in Fig.5 can be rotated. When the color index a is specified in Cartan subalgebra, color antisymmetric ghost can be chosen not only at d and h but also at d and e or h and e. Relative sign of the latter two cases and the former is random [21]. Thus the gluon propagator is effectively color diagonal.…”

Section: Color Antisymmetric Ghost In the Gluon-ghost-ghost Vertexmentioning

confidence: 99%

“…In [21], I found that the ghost propagator with a gluon-ghost-ghost loop with a tadpole vertex between the two ghost propagators introduces an effective propagator of a const/p 2 if the IR exponent of the ghost propagator α G = 0.5. It means that in the UV, the dominant component of the ghost propagator is const/p 2 as observed recently by the Dyson-Schwinger approach [18,19].…”

Section: Color Antisymmetric Ghost In the Gluon-ghost-ghost Vertexmentioning

confidence: 99%

“…One should ask the validity of the definition of the running coupling which is based on the tree approximation. I observed in [21] that the loop corrections through the color antisymmetric ghost could affect IR features of QCD. The color antisymmetric ghost and its relation to ghost condensates was discussed in [22] and the upper limit of the modulus of color antisymmetric ghost is measured in SU(2) [23,24] and in SU(3) [5,6].…”

Section: Introductionmentioning

confidence: 99%

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Roles of the Color Antisymmetric Ghost Propagator in the Infrared QCD

Furui

2008

Few-Body Syst

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The results of Coulomb gauge and Landau gauge lattice QCD simulation do not agree completely with continuum theory. There are indications that the ghost propagator in the infrared region has strong fluctuation whose modulus is compatible with that of the color diagonal ghost propagator. After presenting lattice simulation of configurations produced with Kogut-Susskind fermion (MILC collaboration) and those with domain wall fermion (RBC/UKQCD collaboration), I investigate in triple gluon vertex and the ghost-gluon-ghost vertex how the square of the color antisymmetric ghost contributes. Then the effect of the vertex correction to the gluon propagator and the ghost propagator is investigated.Recent Dyson-Schwinger equation analysis suggests the ghost dressing function G(0) = finite and no infrared enhancement or α G = 0. But the ghost propagator renormalized by the loop containing a product of color antisymmetric ghost is expected to behave as < cc > r = − G(q 2 ) q 2 with G(q 2 ) ∝ q −2α G with α G = 0.5, if the fixed point scenario is valid. I interpret the α G = 0 solution should contain a vertex correction. The infrared exponent of our lattice Landau gauge gluon propagator of the RBC/UKQCD is α D = −0.5 and that of MILC is about -0.7.A possible interpretation of the origin of the fluctuation is given. *

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Section: Ghost Propagators In Lattice Simulationsmentioning

confidence: 99%

Section: Color Antisymmetric Ghost In the Gluon-ghost-ghost Vertexmentioning

confidence: 99%

Section: Color Antisymmetric Ghost In the Gluon-ghost-ghost Vertexmentioning

confidence: 99%

Section: Color Antisymmetric Ghost In the Gluon-ghost-ghost Vertexmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Roles of the Color Antisymmetric Ghost Propagator in the Infrared QCD

Furui

2008

Few-Body Syst

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Propagator of the Lattice Domain Wall Fermion and the Staggered Fermion

Furui

2009

Few-Body Syst

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We calculate the propagator of the domain wall fermion (DWF) of the RBC/UKQCD collaboration with 2+1 dynamical flavors of 16 3 × 32 × 16 lattice in Coulomb gauge, by applying the conjugate gradient method. We find that the fluctuation of the propagator is small when the momenta are taken along the diagonal of the 4-dimensional lattice. Restricting momenta in this momentum region, which is called the cylinder cut, we compare the mass function and the running coupling of the quark-gluon coupling α s,g 1 (q) with those of the staggerd fermion of the MILC collaboration in Landau gauge.In the case of DWF, the ambiguity of the phase of the wave function is adjusted such that the overlap of the solution of the conjugate gradient method and the plane wave at the source becomes real. The quark-gluon coupling α s,g 1 (q) of the DWF in the region q > 1.3GeV agrees with ghostgluon coupling α s (q) that we measured by using the configuration of the MILC collaboration, i.e. enhancement by a factor (1 + c/q 2 ) with c ≃ 2.8GeV 2 on the pQCD result.In the case of staggered fermion, in contrast to the ghost-gluon coupling α s (q) in Landau gauge which showed infrared suppression, the quark-gluon coupling α s,g 1 (q) in the infrared region increases monotonically as q → 0. Above 2GeV, the quark-gluon coupling α s,g 1 (q) of staggered fermion calculated by naive crossing becomes smaller than that of DWF, probably due to the complex phase of the propagator which is not connected with the low energy physics of the fermion taste

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On Nonleptonic Decays

Cited by 2 publications

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Roles of the Color Antisymmetric Ghost Propagator in the Infrared QCD

Roles of the Color Antisymmetric Ghost Propagator in the Infrared QCD

Propagator of the Lattice Domain Wall Fermion and the Staggered Fermion

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