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Unveiling a spinor field classification with non-Abelian gauge symmetries

Luca Fabbri
(
- Genoa U.
)
,
Roldao da Rocha
(
- ABC Federal U.
)

Nov 21, 2017

5 pages

Published in:

Phys.Lett.B 780 (2018) 427-431

Published: May 10, 2018

e-Print:

1711.07873 [hep-th]

DOI:

10.1016/j.physletb.2018.03.029

View in:

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Abstract: (Elsevier)

A spinor fields classification with non-Abelian gauge symmetries is introduced, generalizing the U(1) gauge symmetries-based Lounesto's classification. Here, a more general classification, contrary to the Lounesto's one, encompasses spinor multiplets, corresponding to non-Abelian gauge fields. The particular case of SU(2) gauge symmetry, encompassing electroweak and electromagnetic conserved charges, is then implemented by a non-Abelian spinor classification, now involving 14 mixed classes of spinor doublets. A richer flagpole, dipole, and flag-dipole structure naturally descends from this general classification. The Lounesto's classification of spinors is shown to arise as a Pauli's singlet, into this more general classification.

Note:

12 pages

symmetry: gauge
spinor
gauge field theory: SU(2)
charge: conservation law
electroweak interaction
electromagnetic
Dirac equation
Fierz identity

References(18)

Figures(0)

[1]

Clifford algebras and spinors

Pertti Lounesto

- Lond.Math.Soc.Lect.Note Ser. 286 (2001) 1-338

[2]

Unfolding Physics from the Algebraic Classification of Spinor Fields

- Phys.Lett.B 718 (2013) 1519-1523
•
e-Print:
- 1212.2406
•
DOI:
- 10.1016/j.physletb.2012.12.026

[3]

Revealing how different spinors can be: the Lounesto spinor classification

- Mod.Phys.Lett.A 32 (2017) 35, 1730032
•
e-Print:
- 1708.06222
•
DOI:
- 10.1142/S0217732317300324

[4]

Exotic Dark Spinor Fields

- JHEP 04 (2011) 110
•
e-Print:
- 1103.4759
•
DOI:
- 10.1007/JHEP04(2011)110

[5]

Flag-Dipole Spinor Fields in ESK Gravities

Roldao da Rocha
(
- ABC Federal U.
)
,
Luca Fabbri
(
- Genoa U. and
- INFN, Bologna and
- Bologna U.
)
,
J.M. Hoff da Silva
(
- Sao Paulo U., Guaratingueta
)
,
R.T. Cavalcanti
(
- ABC Federal U.
)
,
J.A. Silva-Neto
(
- ABC Federal U.
)

- J.Math.Phys. 54 (2013) 102505
•
e-Print:
- 1302.2262
•
DOI:
- 10.1063/1.4826499

[6]

The Clifford algebra of physical space and Dirac theory

Jayme Vaz Jr
(
- Campinas State U., IMECC
)

- Eur.J.Phys. 37 (2016) 5, 055407
•
DOI:
- 10.1088/0143-0807/37/5/055407

[7]

Spinor Fields Classification in Arbitrary Dimensions and New Classes of Spinor Fields on 7-Manifolds

- JHEP 02 (2015) 069
•
e-Print:
- 1411.1590
•
DOI:
- 10.1007/JHEP02(2015)069

[8]

New fermions in the bulk

K.P.S. de Brito
(
- ABC Federal U.
)
,
Roldao da Rocha
(
- ABC Federal U.
)

- J.Phys.A 49 (2016) 41, 415403
•
e-Print:
- 1609.06495
•
DOI:
- 10.1088/1751-8113/49/41/415403

[9]

ON THE ALGEBRA OF DIRAC BISPINOR DENSITIES: FACTORIZATION AND INVERSION THEOREMS

J.P. Crawford
(
- Penn State U., Uniontown
)

- J.Math.Phys. 26 (1985) 1439-1441,
- J. Math. Phys. 26 ( 1985) 1439-1441
•
DOI:
- 10.1063/1.526906

[10]

Quantum tomography for Dirac spinors

Ricardo A. Mosna
(
- Campinas State U.
)
,
Jayme Vaz
(
- Campinas State U.
)

- Phys.Lett.A 315 (2003) 418-425
•
e-Print:
- quant-ph/0303072
•
DOI:
- 10.1016/S0375-9601(03)01099-5

[11]

Questing mass dimension 1 spinor fields

- Eur.Phys.J.C 75 (2015) 6, 266
•
e-Print:
- 1504.06763
•
DOI:
- 10.1140/epjc/s10052-015-3498-2

[12]

Where are ELKO spinor fields in Lounesto spinor field classification?

- Mod.Phys.Lett.A 21 (2006) 65-74
•
e-Print:
- math-ph/0506075
•
DOI:
- 10.1142/S0217732306018482

[13]

Classification of Singular Spinor Fields and Other Mass Dimension One Fermions

R.T. Cavalcanti
(
- ABC Federal U.
)

- Int.J.Mod.Phys.D 23 (2014) 14, 1444002
•
e-Print:
- 1408.0720
•
DOI:
- 10.1142/S0218271814440027

[14]

Searching for Elko dark matter spinors at the CERN LHC

- Int.J.Mod.Phys.A 30 (2015) 01, 1550006
•
e-Print:
- 1401.1127
•
DOI:
- 10.1142/S0217751X15500062

[15]

A generally-relativistic gauge classification of the Dirac fields

Luca Fabbri
(
- INFN, Bologna and
- Bologna U.
)

- Int.J.Geom.Meth.Mod.Phys. 13 (2016) 06, 1650078
•
e-Print:
- 1603.02554
•
DOI:
- 10.1142/S021988781650078X

[16]

Algebraic solution for the vector potential in the Dirac equation

H S Booth
(
- Australian Natl. U., Canberra
)
,
G Legg
(
- Tasmania U.
)
,
Peter D. Jarvis
(
- Tasmania U.
)

- J.Phys.A 34 (2001) 5667-5678
•
e-Print:
- hep-th/0104216
•
DOI:
- 10.1088/0305-4470/34/28/304

[17]

General Dynamics of Spinors

Luca Fabbri
(
- Genoa U.
)

- Adv.Appl.Clifford Algebras 27 (2017) 4, 2901-2920
•
e-Print:
- 1707.03270
•
DOI:
- 10.1007/s00006-017-0816-9

[18]

Algebraic inversion of the Dirac equation for the vector potential in the non-abelian case

S.M. Inglis
(
- Tasmania U.
)
,
P.D. Jarvis
(
- Tasmania U.
)

- J.Phys.A 45 (2012) 465202
•
e-Print:
- 1207.2176
•
DOI:
- 10.1088/1751-8113/45/46/465202