Domain wall fermions and chiral gauge theories

Jansen, Karl

doi:10.1016/0370-1573(95)00081-x

Cited by 51 publications

(28 citation statements)

References 74 publications

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“…Green's function topology has been used in particular for classification of topologically protected nodes in the quasiparticle energy spectrum of systems of different dimensions including the vacuum of Standard Model in its gapless state [53,23,26,31]; for the classification of the topological ground states in the fully gapped 2 + 1 systems, which experience intrinsic quantum Hall and spin-Hall effects [4,14,20,21,23,31]; in relativistic quantum field theory of 2 + 1 massive Dirac fermions [54,55,56]; etc.…”

Section: Green's Function As An Objectmentioning

confidence: 99%

Topological invariants for standard model: From semi-metal to topological insulator

Volovik

2010

Jetp Lett.

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Section: Green's Function As An Objectmentioning

confidence: 99%

Topological invariants for standard model: From semi-metal to topological insulator

Volovik

2010

Jetp Lett.

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“…refs. [7][8][9][10][11][12][13] and the references therein) that it is the first being based on a consistent formulation…”

Section: Introductionmentioning

confidence: 99%

Higgs boson mass bounds in the presence of a very heavy fourth quark generation

Gerhold

Jansen

Kallarackal

2011

J. High Energ. Phys.

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Abstract:We study the effect of a potential fourth quark generation on the upper and lower Higgs boson mass bounds. This investigation is based on the numerical evaluation of a chirally invariant lattice Higgs-Yukawa model emulating the same Higgs-fermion coupling structure as in the Higgs sector of the electroweak Standard Model. In particular, the considered model obeys a Ginsparg-Wilson version of the underlying SU(2) L × U(1) Y symmetry, being a global symmetry here due to the neglection of gauge fields in this model. We present our results on the modification of the upper and lower Higgs boson mass bounds induced by the presence of a hypothetical very heavy fourth quark doublet. Finally, we compare these findings to the standard scenario of three fermion generations.

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“…When Kaplan's lagrangian is expressed on a lattice, the second Weyl fermion appears on an opposite wall in the fifth dimension with exponentially vanishing overlap with the first Weyl fermion, thus getting around the no-go theorems [3]. Jansen provides a review of work following Kaplan's original paper [4].…”

Section: Introductionmentioning

confidence: 99%

Are the Dirac particles of the Standard Model dynamically confined states in a higher dimensional flat space?

Bryan

1999

Can. J. Phys.

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Some time ago Rubakov and Shaposhnikov suggested that elementary particles might be excitations trapped on a soliton in a flat higher dimensional space. They gave as an example φ 4 theory in five dimensions with a bosonic excitation on a domain wall φ cl in the fifth dimension. They also trapped a chiral Dirac particle on the domain wall with the interaction lagrangian gψφψ. The field equation for the Dirac field was −i 4 µ=0 γ µ ∂ µ ψ−gφψ = 0. We show that a Dirac equation in eight flat dimensions with −gφ replaced by a harmonic-oscillator "potential" in the four higher dimensions (plus a large constant M 0 ) generates bound states in approximate SU (4) × SU (2) representations. These representations have corresponding "orbital" times "spin" quantum numbers and bear some resemblance to the quarks and leptons of the Standard Model. Soliton-theory suggests that the harmonic-oscillator potential should rise only a finite amount. This will then limit the number of generations in a natural way. It will also mean that particles with sufficient energy might escape the well altogether and propagate freely in the higher dimensions. It may be worthwhile to search for a soliton (instanton?) which can confine Dirac particles in the manner of the harmonic-oscillator potential.1

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Domain wall fermions and chiral gauge theories

Abstract: We review the status of the domain wall fermion approach to construct chiral gauge theories on the lattice.

Cited by 51 publications

References 74 publications

Topological invariants for standard model: From semi-metal to topological insulator

Topological invariants for standard model: From semi-metal to topological insulator

Higgs boson mass bounds in the presence of a very heavy fourth quark generation

Are the Dirac particles of the Standard Model dynamically confined states in a higher dimensional flat space?

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