scholarly journals Cluster expansions and chiral symmetry at large density in 2-color QCD

2016 ◽  
Author(s):  
Terry E. Tomboulis
Keyword(s):  
Chiral Symmetry ◽  
Cluster Expansions ◽  
Large Density

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.

scholarly journals Supersymmetric Cluster Expansions and Applications to Random Schrödinger Operators

2021 ◽  
Vol 24 (1) ◽  
Author(s):  
Luca Fresta
Keyword(s):  
Density Of States ◽  
Local Density ◽  
Schrödinger Operators ◽  
Random Schrödinger Operators ◽  
Schrodinger Operators ◽  
Local Density Of States ◽  
Weak Disorder ◽  
Cluster Expansions ◽  
Strong Disorder ◽  
Lifshitz Tail

AbstractWe study discrete random Schrödinger operators via the supersymmetric formalism. We develop a cluster expansion that converges at both strong and weak disorder. We prove the exponential decay of the disorder-averaged Green’s function and the smoothness of the local density of states either at weak disorder and at energies in proximity of the unperturbed spectrum or at strong disorder and at any energy. As an application, we establish Lifshitz-tail-type estimates for the local density of states and thus localization at weak disorder.

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