A Case of Cowden's Disease

Sasaki, J; Koyama, Hiroshi; Nakamura, Naoko; Kimoto, Hiroyuki; Kawaguchi, Atsushı; Terahata, Shintaro

doi:10.11641/pdensks.53.0_91

Cited by 2 publications

(3 citation statements)

References 3 publications

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“…Thus, one may easily deduce that their g P should be much smaller than our observed g P since their corresponding α PPD and measured F A (0), both of which are main ingredients in Eq. (48), are about 40% and 20% smaller than our DWF values respectively. Indeed, our quoted g P of the quenched Wilson results in Table XV, which is determined with the value of α PPD evaluated at q 2 = 0.88m 2 µ , is almost a half of our quenched DWF value.…”

Section: Comparison With Previous Resultscontrasting

confidence: 81%

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Nucleon form factors from quenched lattice QCD with domain wall fermions

Sasaki

Yamazaki

2008

Phys. Rev. D

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We present a quenched lattice calculation of the weak nucleon form factors: vector (F_V(q^2)), induced tensor (F_T(q^2)), axial-vector (F_A(q^2)) and induced pseudo-scalar (F_P(q^2)) form factors. Our simulations are performed on three different lattice sizes L^3 x T=24^3 x 32, 16^3 x 32 and 12^3 x 32 with a lattice cutoff of 1/a = 1.3 GeV and light quark masses down to about 1/4 the strange quark mass (m_{pi} = 390 MeV) using a combination of the DBW2 gauge action and domain wall fermions. The physical volume of our largest lattice is about (3.6 fm)^3, where the finite volume effects on form factors become negligible and the lower momentum transfers (q^2 = 0.1 GeV^2) are accessible. The q^2-dependences of form factors in the low q^2 region are examined. It is found that the vector, induced tensor, axial-vector form factors are well described by the dipole form, while the induced pseudo-scalar form factor is consistent with pion-pole dominance. We obtain the ratio of axial to vector coupling g_A/g_V=F_A(0)/F_V(0)=1.219(38) and the pseudo-scalar coupling g_P=m_{mu}F_P(0.88m_{mu}^2)=8.15(54), where the errors are statistical erros only. These values agree with experimental values from neutron beta decay and muon capture on the proton. However, the root mean squared radii of the vector, induced tensor and axial-vector underestimate the known experimental values by about 20%. We also calculate the pseudo-scalar nucleon matrix element in order to verify the axial Ward-Takahashi identity in terms of the nucleon matrix elements, which may be called as the generalized Goldberger-Treiman relation.Comment: 46 pages, 44 figures, v2: one section (including four new figures and several new tables) added for comparison with other studies, conclusions remain unchanged, v3: accepted version, v4: published version in PR

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Section: Comparison With Previous Resultscontrasting

confidence: 81%

“…To resolve it, it is necessary to calculate the relative amplitude of N |J a 5q |N to the usual pseudo-scalar matrix element N |J a 5 |N directly. We plan to study N |J a 5q |N as well as N |A a α |N with the conserved axial-vector current A α in our extended work [48].…”

Section: Test For the Axial Ward-takahashi Identitymentioning

confidence: 99%

Nucleon form factors from quenched lattice QCD with domain wall fermions

Sasaki

Yamazaki

2008

Phys. Rev. D

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“…Another interesting issue is to find the higher order corrections of the 3-form (and its 6-form dual) couplings to the M2-brane 6 which, after the reduction to the D2-brane effective theory, should be related to the deformed gauge theories on the D3-branes in the presence of R-R backgrounds via T-dualities [34]. We will come back to this issue in the future works [31]. the VEV.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

On non-linear action for gauged M2-brane

Sasaki

2010

J. High Energ. Phys.

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We propose a non-linear extension of U (1) × U (1) (abelian) ABJM model including T M 2 (higher derivative) corrections. The action proposed here is expected to describe a single M2-brane proving C 4 /Z k target space. The model includes couplings with the 3-form background in the eleven-dimensional supergravity which is consistent with the orbifold projection. We show that the novel higgs mechanism proposed by Mukhi and Papageorgakis does work even in the presence of higher derivative corrections and couplings with the background field, giving the correct structure of the Dirac-Born-Infeld action with Wess-Zumino term for a D2-brane. We also find half BPS solutions in the full nonlinear theory which is interpreted as an another M2-brane intersecting with the original M2-brane. A possible generalization to U (N ) × U (N ) gauge group is briefly discussed. a shin-s(at)th.phys.titech.ac.jp Recently, the low-energy description of multiple M2-branes has been intensively studied. Bagger, Lambert and Gustavsson proposed a three dimensional N = 8 supersymmetric model with SO(8) R R-symmetry (BLG model) as an effective theory of multiple M2-branes which is based on the three-algebra structure [1,2]. On the other hand, Aharony-Bergman-Jafferis-Maldacena recently proposed a three dimensional N = 6 superconformal Chern-Simons-matter theory as an alternative model of N coincident M2-branes probing C 4 /Z k orbifold (ABJM model) [3]. The gauge group is U(N) × U(N) and four complex scalar fields are introduced as the (anti) bi-fundamental representation of the gauge group. Two gauge fields A m andÂ m corresponding to each U(N)s have levels k and −k respectively and the Lagrangian of the ABJM model exhibits an SU(4) R R-symmetry. For SU(2) × SU(2) gauge group, the N = 6 supersymmetry is enhanced to N = 8 and the ABJM model coincides with the BLG model [4]. It is also argued in [3] that the model is dual to M-theory on AdS 4 × S 7 /Z k at large-N.A lot of works on the classical solutions of this model have been achieved. In [5], a BPS fuzzy funnel configuration that represents an M5-brane intersecting with multiple M2-branes was found 1 . A domain wall solution that interpolates between a fuzzy sphere and trivial vacua was found in the mass deformed ABJM model [8]. There is a detail discussion on the dimensionality of the fuzzy sphere [7]. Other BPS objects such as vortices, Q-balls and so on were studied in [9,10,11,12].It is known that M2-branes in eleven dimensions are reduced to D2-branes in ten dimensions by compactifing one of the transverse direction to the M2-branes. This procedure is performed by the novel higgs mechanism proposed in [13]. It has been shown that the U(N)×U(N) ABJM theory is reduced to U(N) super Yang-Mills theory describing N coincident D2-branes. Since the super Yang-Mills action is the leading order approximation in α ′ (string scale) expansion of the non-abelian Dirac-Born-Infeld (DBI) action, it is natural to expect that the ABJM action is modified by the higher derivative membrane corrections that ...

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A Case of Cowden's Disease

Cited by 2 publications

References 3 publications

Nucleon form factors from quenched lattice QCD with domain wall fermions

Nucleon form factors from quenched lattice QCD with domain wall fermions

On non-linear action for gauged M2-brane

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