Quantal conserved laws in the non-Abelian higher-derivative Chern-Simons theories

Li, Ziping; Bao, Jun Ling

doi:10.1209/epl/i1997-00400-0

Cited by 4 publications

(3 citation statements)

References 22 publications

(27 reference statements)

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“…In this section we recall briefly the chiral quark approach and the three types of hyperfine interaction. In the chiral quark model approach the amplitudes for a certain resonance can be written as [30,33,34],…”

Section: Theoretical Framementioning

confidence: 99%

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Exploration of hyperfine interaction between constituent quarks via η productions

Yuan

2011

Eur. Phys. J. A

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In this work, the different exchange freedom, one gloun, one pion or Goldstone boson, in constituent quark model is investigated, which is responsible to the hyperfine interaction between constituent quarks, via the combined analysis of the η production processes, π − p → ηn and γp → ηp. With the Goldstone-boson exchange, as well as the one-gluon or one-pion exchange, both the spectrum and observables, such as, the differential cross section and polarized beam asymmetry, are fitted to the suggested values of Particle Data Group and the experimental data. The first two types of exchange freedoms give acceptable description of the spectrum and observables while the one pion exchange can not describe the observables and spectrum simultaneously, so can be excluded. The experimental data for the two processes considered here strongly support the mixing angles for two lowest S11 sates and D13 states as about −30 • and 6 • respectively.

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Section: Theoretical Framementioning

confidence: 99%

“…Recently, the η production processes, π − p → ηn and γp → ηp, are investigated combinedly in a chiral quark approach [26,27,28,29,30,31,32] equipped with OGE [33,34]. In this approach, the observable are related with the different hyperfine interactions, such as OGE and GBE, through the configuration mixing of wave functions.…”

Section: Introductionmentioning

confidence: 99%

Exploration of hyperfine interaction between constituent quarks via η productions

Yuan

2011

Eur. Phys. J. A

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“…This method to derived the quantal conserved quantity here is more convenient than that of the phase-space path integral of constrained Hamiltonian system [28]. If we only consider the change of the fields A a μ , ψ andψ , fixing the ghost fields C a ,C a and auxiliary fields B a in the BRST transformation, we have…”

Section: Brst Symmetrymentioning

confidence: 99%

The Transformation Properties at the Quantum Level in Field Theories for a Gauge-Invariant System with a Higher-Order Lagrangian

Gao

2008

Int J Theor Phys

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Based on the configuration-space generating functional of the Green functions for the gauge-invariant system in higher-order derivatives theories, the equations of the transformation properties at the quantum level have been derived. It follows that the sufficient conditions are found which implies that there exists the conservation laws and the expressions of the quantal conserved laws are also given. Applying the results to the non-Abelian Chern-Simons higher-order derivatives theories, the quantal BRST conserved charge and other conserved charges are found, the transformation properties of the conformal transformation at the quantum level is discussed, the quantal conserved angular momentum is derived, it is pointed out that fractional spin in this system may be also preserved in quantum theories. But the connection between the symmetries and conservation laws in classical theories are not always preserved in quantum theories.

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Symmetries in a Constrained System with a Singular Higher-Order Lagrangian

2006

Int J Theor Phys

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A simple algorithm to construct the generator of gauge transformation for a constrained canonical system with a singular higher-order Lagrangian in field theories is developed. Based on phase-space generating functional of Green function for such a system, the generalized canonical Ward identities under the non-local transformation have been deduced. For the gauge-invariant system, based on configuration-space generating functional, the generalized Ward identities under the non-local transformation have been also derived.The conservation laws are deduced at the quantum level. The applications of the above results to the gauge invariance massive vector field and non-Abelian Chern-Simons(CS) theories with higher-order derivatives are given, a new form of gauge-ghost proper vertices, and Ward-Takahashi identity under BRS transformation and BRS charge at the quantum level are obtained. In the canonical formulation one does not need to carry out the integration over canonical momenta in phase-space path integral as usually performed.

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Quantal conserved laws in the non-Abelian higher-derivative Chern-Simons theories

Cited by 4 publications

References 22 publications

Exploration of hyperfine interaction between constituent quarks via η productions

Exploration of hyperfine interaction between constituent quarks via η productions

The Transformation Properties at the Quantum Level in Field Theories for a Gauge-Invariant System with a Higher-Order Lagrangian

Symmetries in a Constrained System with a Singular Higher-Order Lagrangian

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