Effective interactions from q-deformed inspired transformations

Timóteo, V. S.; Lima, Cristina Amorim Ribeiro de

doi:10.1016/j.physletb.2006.02.044

Cited by 9 publications

(8 citation statements)

References 10 publications

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“…Furthermore, some of the earlier applications of fermionic quantum algebras should be mentioned: For instance, they were used to discuss some hadronic properties such as the dynamical mass generated for quarks and pure nuclear pairing force version of the Bardeen-Cooper-Schrieffer (BCS) many-body formalism [45][46][47][48]. They were also used to understand higher-order effects in the many-body interactions in nuclei [49,50].…”

Section: ) (D Su Qmentioning

confidence: 99%

A Comparative Study on q-Deformed Fermion Oscillators

Algin

2011

Int J Theor Phys

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In this paper, the algebras, representations, and thermostatistics of four types of fermionic q-oscillator models, called fermionic Newton (FN), Chaichian-Kulish-Ng (CKN), Parthasarathy-Viswanathan-Chaichian (PVC), Viswanathan-Parthasarathy-JagannathanChaichian (VPJC), are discussed. Similarities and differences among the properties of these models are revealed. Particular emphasis is given to the VPJC-oscillators model so that its Fock space representation is analyzed in detail. Possible physical applications of these models are concisely pointed out.

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Section: ) (D Su Qmentioning

confidence: 99%

A Comparative Study on q-Deformed Fermion Oscillators

Algin

2011

Int J Theor Phys

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“…These fermionic quantum algebras were applied to several problems, as the dynamic mass generation of quarks and nuclear pairing [9,10], and as descriptive of higher order effects in many-body interactions in nuclei [11,12].…”

Section: Generalized Q-deformed Fermion Algebramentioning

confidence: 99%

Golden quantum oscillator and Binet–Fibonacci calculus

Pashaev¹,

Nalci²

2011

J. Phys. A: Math. Theor.

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The Binet formula for Fibonacci numbers is treated as a q-number and a q-operator with Golden ratio bases q = ϕ and Q = −1/ϕ, and the corresponding Fibonacci or Golden calculus is developed. A quantum harmonic oscillator for this Golden calculus is derived so that its spectrum is given only by Fibonacci numbers. The ratio of successive energy levels is found to be the Golden sequence, and for asymptotic states in the limit n → ∞ it appears as the Golden ratio. We call this oscillator the Golden oscillator. Using double Golden bosons, the Golden angular momentum and its representation in terms of Fibonacci numbers and the Golden ratio are derived. Relations of Fibonacci calculus with a q-deformed fermion oscillator and entangled N-qubit states are indicated.

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“…The difficulties involved in obtaining low-energy properties directly from QCD, the fundamental theory of strong interactions, have motivated the construction of effective models due to their simplicity and effectiveness in describing hadrons at low energies [1]. The linear sigma model was first proposed in the 1960s as a model for pion-nucleon interactions and later has been offered for strong nuclear interactions [2].…”

Section: Introductionmentioning

confidence: 99%

“…Chiral symmetry breaking is an important phenomenon in hadron physics and is of fundamental importance for hadron properties. The difficulties involved in obtaining low-energy properties directly from QCD, the fundamental theory of strong interactions, have motivated the construction of effective models due to their simplicity and effectiveness in describing hadrons at low energies [1]. The linear sigma model has been proposed as a model for strong nuclear interactions [2].…”

Section: Introductionmentioning

confidence: 99%

Magnetic Catalysis in the Higher-Order Quark Sigma Model

Abu‐Shady¹

2017

JPP

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The effect of the higher-order mesonic interactions in the presence of an external magnetic field is investigated within the framework of the chiral symmetry breaking mechanism. The effect of higher-order mesonic potential is employed and numerically solved in the mean-field approximation. The chiral symmetry breaking increases with ascending magnetic field. Two sets of free parameterization are investigated on the magnetic catalysis. A comparison is discussed with the other studies and Lattice QCD. The obtained results are included that the higher-order quark sigma model gives good description for the magnetic catalysis.

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Effective interactions from q-deformed inspired transformations

Abstract: From the mass term for the transformed quark fields, we obtain effective contact interactions of the NJL type. The parameters of the model that maps a system of non-interacting transformed fields into quarks interacting via NJL contact terms are discussed.

Cited by 9 publications

References 10 publications

A Comparative Study on q-Deformed Fermion Oscillators

A Comparative Study on q-Deformed Fermion Oscillators

Golden quantum oscillator and Binet–Fibonacci calculus

Magnetic Catalysis in the Higher-Order Quark Sigma Model

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