scholarly journals Nonperturbative determination of β functions for SU(3) gauge theories with 10 and 12 fundamental flavors using domain wall fermions

2019 ◽  
Vol 798 ◽  
pp. 134937 ◽  
Author(s):  
A. Hasenfratz ◽  
C. Rebbi ◽  
O. Witzel
Keyword(s):  
Domain Wall ◽  
Gauge Theories ◽  
Domain Wall Fermions

scholarly journals Chiral gauge theories with domain wall fermions

1994 ◽  
Vol 34 ◽  
pp. 593-595 ◽  
Author(s):  
Maarten Golterman ◽  
Karl Jansen ◽  
Don Petcher ◽  
Jeroen C. Vink
Keyword(s):  
Domain Wall ◽  
Gauge Theories ◽  
Domain Wall Fermions

scholarly journals B → πlv with Möbius Domain Wall Fermions

2018 ◽  
Vol 175 ◽  
pp. 13004 ◽  
Author(s):  
Brian Colquhoun ◽  
Shoji Hashimoto ◽  
Takashi Kaneko
Keyword(s):  
Domain Wall ◽  
Lattice Spacing ◽  
Semileptonic Decay ◽  
Form Factors ◽  
Heavy Quarks ◽  
Ckm Matrix ◽  
Domain Wall Fermions ◽  
Heavy Quark Mass ◽  
The Status

We report on the status of our calculation of the exclusive semileptonic decay, B → πlv; a key process in the determination of the CKM matrix element |Vub|. The Möbius domain wall action is used for both light and heavy quarks on gauge ensembles that include the effects of 2 + 1 flavours of quarks in the sea at three values of the lattice spacing: a ≈ 0.08 fm, a ≈ 0.055 fm, and a ≈ 0.044 fm. Pion masses go down to 300 MeV while heavy quarks masses are as large as 2.44mc. We present preliminary results of form factors from this process, showing dependence on momentum transfer, lattice spacing, and the heavy quark mass.

scholarly journals Lattice determination of the hadronic contribution to the muong−2using dynamical domain wall fermions

2012 ◽  
Vol 85 (7) ◽  
Author(s):  
Peter Boyle ◽  
Luigi Del Debbio ◽  
Eoin Kerrane ◽  
James Zanotti
Keyword(s):  
Domain Wall ◽  
Domain Wall Fermions ◽  
Hadronic Contribution

scholarly journals Calabi-Yau products: graded quivers for general toric Calabi-Yaus

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Sebastián Franco ◽  
Azeem Hasan
Keyword(s):  
Gauge Theories ◽  
Open String

Abstract The open string sector of the topological B-model on CY (m + 2)-folds is described by m-graded quivers with superpotentials. This correspondence generalizes the connection between CY (m + 2)-folds and gauge theories on the worldvolume of D(5 − 2m)-branes for m = 0, . . . , 3 to arbitrary m. In this paper we introduce the Calabi-Yau product, a new algorithm that starting from the known quiver theories for a pair of toric CYm+2 and CYn+2 produces the quiver theory for a related CYm+n+3. This method significantly supersedes existing ones, enabling the simple determination of quiver theories for geometries that were previously out of practical reach.

Determination of Intrinsic Magnetic Parameters of SmCo5 Phase in Sintered Samples

2005 ◽  
Vol 498-499 ◽  
pp. 129-133 ◽  
Author(s):  
Marcos Flavio de Campos ◽  
Fernando José Gomes Landgraf
Keyword(s):  
Powder Metallurgy ◽  
Domain Wall ◽  
Kerr Effect ◽  
Critical Diameter ◽  
Optical Microscope ◽  
Domain Theory ◽  
Magnetic Domains ◽  
Magnetic Parameters ◽  
Intrinsic Parameters

SmCo5 magnets are usually produced by powder metallurgy route, including milling, compaction and orientation under magnetic field, sintering and heat treatment. The samples produced by powder metallurgy, with grain size around 10 μm, are ideal for determination of intrinsic parameters. The first step for determination of intrinsic magnetic parameters is obtaining images of domain structure in demagnetized samples. In the present study, the domain images were produced by means of Kerr effect, in a optical microscope. After the test of several etchings, Nital appears as the most appropriate for observation of magnetic domains by Kerr effect. Applying Stereology and Domain Theory, several intrinsic parameters of SmCo5 phase were determined: domain wall energy 120 erg/cm2, critical diameter for single domain particle size 2 μm and domain wall thickness 60 Å. In the case of SmCo5, and also other phases with high magnetocrystalline anisotropy, Domain Theory presents several advantages when compared with Micromagnetics.

scholarly journals Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme

2018 ◽  
Vol 33 (01) ◽  
pp. 1850012
Author(s):  
Yuko Murakami ◽  
Ken-Ichi Ishikawa
Keyword(s):  
Perturbation Theory ◽  
Gauge Theory ◽  
Domain Wall ◽  
Beta Function ◽  
Boundary Operator ◽  
Tree Level ◽  
Domain Wall Fermions ◽  
Functional Scheme ◽  
Temporal Boundary ◽  
Optimal Type

In this paper, we construct the Möbius domain wall fermions (MDWFs) in the Schrödinger functional (SF) scheme for the SU(3) gauge theory by adding a boundary operator at the temporal boundary of the SF scheme setup. Using perturbation theory, we investigate the properties of several constructed MDWFs, including the optimal type domain wall, overlap, truncated domain wall, and truncated overlap fermions. We observe the universality of the spectrum of the effective four-dimensional operator at the tree-level, and fermionic contribution to the universal one-loop beta function is reproduced for MDWFs with a sufficiently large fifth-dimensional extent.

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