scholarly journals Chiral symmetry in non-Hermitian systems: Product rule and Clifford algebra

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Jose D. H. Rivero ◽  
Li Ge
Keyword(s):  
Clifford Algebra ◽  
Chiral Symmetry ◽  
Product Rule

scholarly journals A Clifford algebra approach to chiral symmetry breaking and fermion mass hierarchies

2017 ◽  
Vol 32 (26) ◽  
pp. 1750159 ◽  
Author(s):  
Wei Lu
Keyword(s):  
Higgs Boson ◽  
Symmetry Breaking ◽  
Clifford Algebra ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Higgs Bosons ◽  
Fermion Mass ◽  
Tau Neutrino ◽  
Composite Higgs ◽  
Algebra Approach

We propose a Clifford algebra approach to chiral symmetry breaking and fermion mass hierarchies in the context of composite Higgs bosons. Standard model fermions are represented by algebraic spinors of six-dimensional binary Clifford algebra, while ternary Clifford algebra-related flavor projection operators control allowable flavor-mixing interactions. There are three composite electroweak Higgs bosons resulted from top quark, tau neutrino, and tau lepton condensations. Each of the three condensations gives rise to masses of four different fermions. The fermion mass hierarchies within these three groups are determined by four-fermion condensations, which break two global chiral symmetries. The four-fermion condensations induce axion-like pseudo-Nambu–Goldstone bosons and can be dark matter candidates. In addition to the 125 GeV Higgs boson observed at the Large Hadron Collider, we anticipate detection of tau neutrino composite Higgs boson via the charm quark decay channel.

Chiral symmetry and the properties of hadrons in the Generalized Nambu—Jona-Lasinio model

2016 ◽  
Vol 187 (07) ◽  
pp. 715-743
Author(s):  
Yuliya S. Kalashnikova ◽  
Aleksei V. Nefed'ev ◽  
J.E.F.T. Ribeiro
Keyword(s):  
Chiral Symmetry

Series expansions for monogenic functions in Clifford algebras and their application

2020 ◽  
Vol 17 (3) ◽  
pp. 365-371
Author(s):  
Anatoliy Pogorui ◽  
Tamila Kolomiiets
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Vector Space ◽  
Clifford Algebra ◽  
Clifford Algebras ◽  
Monogenic Function ◽  
Second Order ◽  
Series Expansions ◽  
Monogenic Functions ◽  
Partial Differential

This paper deals with studying some properties of a monogenic function defined on a vector space with values in the Clifford algebra generated by the space. We provide some expansions of a monogenic function and consider its application to study solutions of second-order partial differential equations.

scholarly journals Chiral symmetry constraints on resonant amplitudes

2018 ◽  
Vol 778 ◽  
pp. 43-47 ◽  
Author(s):  
Peter C. Bruns ◽  
Maxim Mai
Keyword(s):  
Chiral Symmetry ◽  
Symmetry Constraints
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