Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests d=1+3 as a massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field

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Standard

Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests d=1+3 as a massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field. / Borstnik, N. M.; Nielsen, Holger Frits Bech.

In: Physics Letters B, Vol. 663, No. 3, 2008, p. 265-269.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Borstnik, NM & Nielsen, HFB 2008, 'Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests d=1+3 as a massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field', Physics Letters B, vol. 663, no. 3, pp. 265-269. https://doi.org/10.1016/j.physletb.2008.04.017

APA

Borstnik, N. M., & Nielsen, H. F. B. (2008). Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests d=1+3 as a massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field. Physics Letters B, 663(3), 265-269. https://doi.org/10.1016/j.physletb.2008.04.017

Vancouver

Borstnik NM, Nielsen HFB. Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests d=1+3 as a massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field. Physics Letters B. 2008;663(3):265-269. https://doi.org/10.1016/j.physletb.2008.04.017

Author

Borstnik, N. M. ; Nielsen, Holger Frits Bech. / Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests d=1+3 as a massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field. In: Physics Letters B. 2008 ; Vol. 663, No. 3. pp. 265-269.

Bibtex

@article{000348b0f84511ddb219000ea68e967b,
title = "Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests d=1+3 as a massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field",
abstract = "The genuine Kaluza-Klein-like theories-with no fields in addition to gravity-have difficulties with the existence of massless spinors after the compactification of some space dimensions [E. Witten, Nucl. Phys. B 186 (1981) 412; E. Witten, Fermion quantum numbers in Kaluza-Klein theories, Princeton Technical Rep. PRINT-83-1056, October 1983]. We proposed in [N.S. Mankoc Bor{\v s}tnik, H.B. Nielsen, Phys. Lett. B 633 (2006) 771, hep-th/0509101; N.S. Mankoc Bor{\v s}tnik, H.B. Nielsen, hep-th/0311037] a boundary condition for spinors in (1+5) compactified on a flat disk that ensures masslessness of spinors (with all positive half integer charges) in d=(1+3) as well as their chiral coupling to the corresponding background gauge gravitational field. In this Letter we study the same toy model, proposing a boundary condition allowing a massless spinor of one handedness and only one charge (1/2) and infinitely many massive spinors of the same charge, allowing disc to be curved. We define the operator of momentum to be Hermitean on the vector space of spinor states-the solutions on a disc with the boundary. Udgivelsesdato: May 22",
author = "Borstnik, {N. M.} and Nielsen, {Holger Frits Bech}",
year = "2008",
doi = "10.1016/j.physletb.2008.04.017",
language = "English",
volume = "663",
pages = "265--269",
journal = "Physics Letters B: Particle Physics, Nuclear Physics and Cosmology",
issn = "0370-2693",
publisher = "Elsevier",
number = "3",

}

RIS

TY - JOUR

T1 - Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests d=1+3 as a massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field

AU - Borstnik, N. M.

AU - Nielsen, Holger Frits Bech

PY - 2008

Y1 - 2008

N2 - The genuine Kaluza-Klein-like theories-with no fields in addition to gravity-have difficulties with the existence of massless spinors after the compactification of some space dimensions [E. Witten, Nucl. Phys. B 186 (1981) 412; E. Witten, Fermion quantum numbers in Kaluza-Klein theories, Princeton Technical Rep. PRINT-83-1056, October 1983]. We proposed in [N.S. Mankoc Borštnik, H.B. Nielsen, Phys. Lett. B 633 (2006) 771, hep-th/0509101; N.S. Mankoc Borštnik, H.B. Nielsen, hep-th/0311037] a boundary condition for spinors in (1+5) compactified on a flat disk that ensures masslessness of spinors (with all positive half integer charges) in d=(1+3) as well as their chiral coupling to the corresponding background gauge gravitational field. In this Letter we study the same toy model, proposing a boundary condition allowing a massless spinor of one handedness and only one charge (1/2) and infinitely many massive spinors of the same charge, allowing disc to be curved. We define the operator of momentum to be Hermitean on the vector space of spinor states-the solutions on a disc with the boundary. Udgivelsesdato: May 22

AB - The genuine Kaluza-Klein-like theories-with no fields in addition to gravity-have difficulties with the existence of massless spinors after the compactification of some space dimensions [E. Witten, Nucl. Phys. B 186 (1981) 412; E. Witten, Fermion quantum numbers in Kaluza-Klein theories, Princeton Technical Rep. PRINT-83-1056, October 1983]. We proposed in [N.S. Mankoc Borštnik, H.B. Nielsen, Phys. Lett. B 633 (2006) 771, hep-th/0509101; N.S. Mankoc Borštnik, H.B. Nielsen, hep-th/0311037] a boundary condition for spinors in (1+5) compactified on a flat disk that ensures masslessness of spinors (with all positive half integer charges) in d=(1+3) as well as their chiral coupling to the corresponding background gauge gravitational field. In this Letter we study the same toy model, proposing a boundary condition allowing a massless spinor of one handedness and only one charge (1/2) and infinitely many massive spinors of the same charge, allowing disc to be curved. We define the operator of momentum to be Hermitean on the vector space of spinor states-the solutions on a disc with the boundary. Udgivelsesdato: May 22

U2 - 10.1016/j.physletb.2008.04.017

DO - 10.1016/j.physletb.2008.04.017

M3 - Journal article

VL - 663

SP - 265

EP - 269

JO - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

JF - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

SN - 0370-2693

IS - 3

ER -

ID: 10455069