Chiral bosonization in non-abelian gauge theories

Andrianov, Alexander A.; Novozhilov, Yu.V.

doi:10.1016/0370-2693(85)90485-x

Cited by 65 publications

(17 citation statements)

References 11 publications

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“…Only colorless chiral fields χ are definitely interpreted as pseudoscalar mesons. Some other states were also considered in literature [8]. We suggest, that at certain energy scale the fields ω with quantum numbers of lightest J P = 0 + ud-diquarks can also generate Goldstone-like particles.…”

Section: Introductionmentioning

confidence: 89%

Extended chiral transformations including diquark fields as parameters [Phys. Lett. B 343 (1995) 358]

1995

Physics Letters B

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We introduce extended chiral transformation, which depends both on pseudoscalar and diquark fields as parameters and determine its group structure. Assuming soft symmetry breaking in diquark sector, bosonisation of a quasiGoldstone ud-diquark is performed. In the chiral limit the ud-diquark mass is defined by the gluon condensate, m ud ≈ 300MeV . The diquark charge radius is r 2 ud 1/2 ≈ 0.5f m.

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Section: Introductionmentioning

confidence: 89%

Extended chiral transformations including diquark fields as parameters [Phys. Lett. B 343 (1995) 358]

1995

Physics Letters B

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“…They are described by complex matrices, defined on lattice links. Only such variables admit mentioned above "finite mode" regularization (for fermion fields analogous method was applied in [25,26]). …”

Section: Introductionmentioning

confidence: 99%

Gauge-Invariant Regularization of Quantum Field Theory on the Light Front

Paston

Prokhvatilov

Franke

2004

Theoretical and Mathematical Physics

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Gauge invariant regularization of quantum field theory in the framework of LightFront (LF) Hamiltonian formalism via introducing a lattice in transverse coordinates and imposing boundary conditions in LF coordinate x − for gauge fields on the interval |x − | ≤ L is considered. The remaining ultraviolet divergences in the longitudinal momentum p − are removed by gauge invariant finite mode regularization. We find that LF canonical formalism for the introduced regularization does not contain usual most complicated second class constraints connecting zero and nonzero modes of gauge fields. The described scheme can be used either for the regularization of conventional gauge theory or for gauge invariant formulation of effective low-energy models on the LF. The lack of explicit Lorentz invariance in our approach leads to difficulty with defining the vacuum state. We discuss this difficulty, particulary, in the connection with the problem of taking the limit of continuous space. *

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“…Color solitons in the extended chiral group Eχ Victor V. Novozhilov baryon number B = N F /N C was mentioned in the paper on colour bosonization [3], where baryon number current B µ was derived…”

Section: Pos(qfthep 2013)081mentioning

confidence: 99%

“…Chiral bosonization [3,4] is a prescription for introducing chiral field, and integration of chiral anomaly is usually invoked, as a way to derive the chiral effective action.…”

Section: Colour Chiral Bosonization and Effective Actionmentioning

confidence: 99%

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Color solitons in the extended chiral group Eχ

Novozhilov¹

2014

Proceedings of the XXI International Workshop High Energy Physics and Quantum Field Theory — PoS(QFTHEP 2013)

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We consider extended chiral group Eχ and investigate whether soliton-skyrmion with diquark parameters can be formed within sympletic subgroup of Eχ.We find that classically stable, finite mass topological solitons exist in the extended chiral group Eχ. In the case of three colors, two flavors their status is described by the chiral group O (3)L × O (3)R. The vacuum background gluon field defines also an asymptotic behavior of the shape function F (R); the field should be chromomagnetic. PoS(QFTHEP 2013)081Color solitons in the extended chiral group Eχ Victor V. Novozhilov

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Chiral bosonization in non-abelian gauge theories

Cited by 65 publications

References 11 publications

Extended chiral transformations including diquark fields as parameters [Phys. Lett. B 343 (1995) 358]

Extended chiral transformations including diquark fields as parameters [Phys. Lett. B 343 (1995) 358]

Gauge-Invariant Regularization of Quantum Field Theory on the Light Front

Color solitons in the extended chiral group Eχ

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