Three-point functions, chiral symmetry, and the Wilson expansion

1975 ◽  
Vol 11 (5) ◽  
pp. 1158-1164
Author(s):  
P. R. Auvil ◽  
P. L. Pritchett
Keyword(s):  
Chiral Symmetry ◽  
Wilson Expansion

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

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

scholarly journals Particle-antiparticle duality and fractionalization of topological chiral solitons

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Chang-geun Oh ◽  
Sang-Hoon Han ◽  
Seung-Gyo Jeong ◽  
Tae-Hwan Kim ◽  
Sangmo Cheon
Keyword(s):  
Chiral Symmetry ◽  
Time Reversal ◽  
Chiral Symmetry Breaking ◽  
Chain Model ◽  
Fractional Charge ◽  
Topological Solitons ◽  
Practical Applications ◽  
Topological System ◽  
Ssh Model ◽  
Chiral Solitons

AbstractAlthough a prototypical Su–Schrieffer–Heeger (SSH) soliton exhibits various important topological concepts including particle-antiparticle (PA) symmetry and fractional fermion charges, there have been only few advances in exploring such properties of topological solitons beyond the SSH model. Here, by considering a chirally extended double-Peierls-chain model, we demonstrate novel PA duality and fractional charge e/2 of topological chiral solitons even under the chiral symmetry breaking. This provides a counterexample to the belief that chiral symmetry is necessary for such PA relation and fractionalization of topological solitons in a time-reversal invariant topological system. Furthermore, we discover that topological chiral solitons are re-fractionalized into two subsolitons which also satisfy the PA duality. As a result, such dualities and fractionalizations support the topological $$\mathbb {Z}_4$$ Z 4 algebraic structures. Our findings will inspire researches seeking feasible and promising topological systems, which may lead to new practical applications such as solitronics.

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