Phase Structure of Gauge Theories on an Interval

Fujimoto, Yukihiro; Nagasawa, Tomoaki; Ohya, Satoshi; Sakamoto, Makoto

doi:10.1143/ptp.126.841

Cited by 19 publications

(37 citation statements)

References 10 publications

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“…We then derive the 4d mass spectrum of the gauge and fermion fields, which are necessary to evaluate Casimir energies. We further show that the scalar field can possess a coordinate-dependent vacuum expectation value (VEV) on the extra dimension [25][26][27][28][38][39][40], which is found to be a crucial ingredient of our dynamical generation mechanism for generating a fermion mass hierarchy.…”

Section: D Spectrum Of a 5d Uð1þ Gauge Theory On An Intervalmentioning

confidence: 89%

“…The boundary conditions are crucially important to determine the 4d mass spectrum at low energies and also the phase structure of symmetries [25][26][27][28][38][39][40][41][42][43][44][45][46][47][48]. We then derive the 4d mass spectrum of the gauge and fermion fields, which are necessary to evaluate Casimir energies.…”

Section: D Spectrum Of a 5d Uð1þ Gauge Theory On An Intervalmentioning

confidence: 99%

“…An interval extra dimension with point interactions [25][26][27][28] takes the responsibility to produce the generations. 2 Point interactions also play an important role to discuss the fermion mass hierarchy.…”

Section: Introductionmentioning

confidence: 99%

“…2 Point interactions also play an important role to discuss the fermion mass hierarchy. In the previous model [25][26][27][28], the positions of the point interactions, which affect the fermion mass hierarchy, have been controlled by hand. On the other hand, in this paper, the positions of the point interactions are determined dynamically through the minimization of the Casimir energy [29,30] (or say, Radion effective potential [31][32][33][34]).…”

Section: Introductionmentioning

confidence: 99%

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Dynamical generation of fermion mass hierarchy in an extra dimension

et al. 2018

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We propose a new mechanism to produce a fermion mass hierarchy dynamically in a model with a single generation of fermions. A five-dimensional gauge theory on an interval with point interactions (zero-width branes) takes responsibility for realizing three generations and each massless zero mode localizes at boundaries of the segments on the extra dimension. An extra dimension coordinate-dependent vacuum expectation value of a scalar field makes large differences in overlap integrals of the localized zero modes and then an exponential fermion mass hierarchy can appear. The positions of the point interactions control the magnitude of the fermion mass hierarchy and are determined by the minimization condition of the Casimir energy. As a result of the minimization of the Casimir energy, an exponential mass hierarchy appears dynamically. We also discuss the stability of the extra dimension.

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Section: D Spectrum Of a 5d Uð1þ Gauge Theory On An Intervalmentioning

confidence: 89%

Section: D Spectrum Of a 5d Uð1þ Gauge Theory On An Intervalmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamical generation of fermion mass hierarchy in an extra dimension

et al. 2018

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“…Under the Robin BC (12), it is known that the VEV of the gauge-singlet possesses the y-dependence and we can make it the exponential form by choosing suitable values of L ± , M Φ and λ Φ [2,8]:…”

Section: Charged Lepton Mass Hierarchy and Tiny Neutrino Massesmentioning

confidence: 99%

Realization of the lepton flavor structure from point interactions

Fujimoto

Nishiwaki

Sakamoto

et al. 2015

EPJ Web of Conferences

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Abstract. We investigate a 5d gauge theory on S 1 with point interactions. The point interactions describe extra boundary conditions and provide three generations, the charged lepton mass hierarchy, the lepton flavor mixing and tiny degenerated neutrino masses after choosing suitable boundary conditions and parameters. The existence of the restriction in the flavor mixing, which appears from the configuration of the extra dimension, is one of the features of this model. Tiny Yukawa couplings for the neutrinos also appears without the see-saw mechanism nor symmetries in our model. The magnitude of CP violation in the leptons can be a prediction and is consistent with the current experimental data.

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Active Dirac neutrinos via SU(2) L doublets in 5d

Fujimoto¹,

Hasegawa²,

Nagasawa³

et al. 2016

J. High Energ. Phys.

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We propose a new mechanism to generate minuscule active neutrino masses in a five-dimensional (5d) spacetime of an interval without introducing SU(2) L singlet neutrinos. Under asymmetric boundary conditions on the two end points, a bulk mass for a 5d fermion allows a Dirac particle with a tiny mass eigenvalue. Implementing this mechanism, which provides us a new tool for building neutrino mass models, to the standard model gauge structure is possible when all the gauge bosons and the Higgs boson are localized on one of the branes.

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Phase Structure of Gauge Theories on an Interval

Cited by 19 publications

References 10 publications

Dynamical generation of fermion mass hierarchy in an extra dimension

Dynamical generation of fermion mass hierarchy in an extra dimension

Realization of the lepton flavor structure from point interactions

Active Dirac neutrinos via SU(2) L doublets in 5d

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