ARE QUARKS AND LEPTONS RELATED BY C, P AND T SYMMETRIES?

1993 ◽  
Vol 08 (20) ◽  
pp. 1859-1868 ◽  
Author(s):  
R. FOOT ◽  
H. LEW ◽  
R.R. VOLKAS
Keyword(s):  
Time Reversal ◽  
Discrete Symmetries ◽  
Discrete Symmetry ◽  
Charge Conjugation ◽  
Spontaneous Breaking ◽  
Charge Conjugation Parity

It is possible that the similarities between the quarks and leptons arise from the spontaneous breaking of an exact quark-lepton Z2 discrete symmetry. We study the connection between this type of discrete symmetry and the discrete symmetries of charge conjugation, parity and time reversal: C, P and T.

scholarly journals Clifford algebras, algebraic spinors, quantum information and applications

2020 ◽  
Vol 35 (29) ◽  
pp. 2050239
Author(s):  
Marco A. S. Trindade ◽  
Sergio Floquet ◽  
J. David M. Vianna
Keyword(s):  
Quantum Information ◽  
Time Reversal ◽  
Clifford Algebras ◽  
Tensor Products ◽  
Logic Gates ◽  
Charge Conjugation ◽  
Charge Conjugation Parity ◽  
Algebraic Formulation

We give an algebraic formulation based on Clifford algebras and algebraic spinors for quantum information. In this context, logic gates and concepts such as chirality, charge conjugation, parity and time reversal are introduced and explored in connection with states of qubits. Supersymmetry and M-superalgebra are also analyzed with our formalism. Specifically we use extensively the algebras [Formula: see text] and [Formula: see text] as well as tensor products of Clifford algebras.

The Discrete Symmetries of the Fundamental Interactions⋆⋆⋆

2018 ◽  
pp. 162-168
Author(s):  
Alvaro De Rújula
Keyword(s):  
Time Reversal ◽  
Discrete Symmetries ◽  
Charge Conjugation ◽  
Sterile Neutrinos ◽  
Fundamental Interactions ◽  
Majorana Neutrinos ◽  
Left And Right ◽  
Cpt Theorem

Continuous and discrete symmetries. Parity (P) and its violation. T.D. Lee, C.N. Yang, and Madame Wu. The chirality of spin-1/2 particles. Left- and right-handed neutrinos. Sterile neutrinos. Charge-conjugation (C). The matter-antimatter question for neutrinos. Majorana neutrinos. Quantum baseball. Time reversal (T). The combined CP and CPT symmetries. The CPT theorem.

Transformation properties and symmetry behaviour of ELKO spinors

2009 ◽  
Vol 87 (8) ◽  
pp. 909-916 ◽  
Author(s):  
K. E. Wunderle ◽  
R. Dick
Keyword(s):  
Time Reversal ◽  
Charge Conjugation ◽  
Commutation Relations ◽  
Charge Conjugation Parity ◽  
Elko Spinors ◽  
Dirac Spinors

We review the transformation properties of ELKO spinors (Eigenspinoren des Ladungskonjugationsoperators) under charge conjugation, parity, and time reversal. Our calculations confirm that ELKO spinors are not eigenspinors of the helicity operator and satisfy [Formula: see text] which identifies them as a representation of a nonstandard Wigner class. However, we find that ELKO spinors transform symmetrically under parity instead of the previously assumed asymmetry. Furthermore, we demonstrate that ELKO spinors transform asymmetrically under time reversal, which is opposite to the previously reported symmetric behaviour. These changes affect the (anti)commutation relations that are satisfied by the operators acting on ELKO spinors. We are also able to show that ELKO spinors actually satisfy the same (anti)commutation relations as Dirac spinors, even though they belong to two different representations.

scholarly journals R-PARITY VIOLATING U(1)′-EXTENDED SUPERSYMMETRIC STANDARD MODEL

2008 ◽  
Vol 23 (39) ◽  
pp. 3271-3283 ◽  
Author(s):  
HYE-SUNG LEE
Keyword(s):  
Dark Matter ◽  
Gauge Symmetry ◽  
Standard Model ◽  
Supersymmetric Standard Model ◽  
Discrete Symmetries ◽  
Discrete Symmetry ◽  
New Physics ◽  
Dark Matter Candidate ◽  
Hidden Sector

Supersymmetry is one of the best motivated new physics scenarios. To build a realistic supersymmetric standard model, however, a companion symmetry is necessary to address various issues. While R-parity is a popular candidate that can address the proton and dark matter issues simultaneously, it is not the only option for such a property. We review how a TeV scale U(1)′ gauge symmetry can replace the R-parity. Discrete symmetries of the U(1)′ can make the model still viable and attractive with distinguishable phenomenology. For instance, with a residual discrete symmetry of the U(1)′, Z6 = B3 × U2, the proton can be protected by the baryon triality (B3) and a hidden sector dark matter candidate can be protected by the U-parity (U2).

scholarly journals Time reversal and charge conjugation in an embedding quantum simulator

2015 ◽  
Vol 6 (1) ◽  
Author(s):  
Xiang Zhang ◽  
Yangchao Shen ◽  
Junhua Zhang ◽  
Jorge Casanova ◽  
Lucas Lamata ◽  
...  
Keyword(s):  
Time Reversal ◽  
Charge Conjugation ◽  
Quantum Simulator
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