Chiral Lagrangian of pseudoscalars and vectors

Kaymakcalan, O.; Schechter, J.

doi:10.1103/physrevd.31.1109

Cited by 137 publications

(106 citation statements)

References 6 publications

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“…Similar four terms were introduced in Ref. [15] based on the massive Yang-Mills approach for vector meson field. On the other hand, if the external fields are turned off in Eq.…”

Section: The General Solution In the Hhh Formulationmentioning

confidence: 94%

Anomalousω-Z-γvertex from hidden local symmetry

2011

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We formulate the general form of ω-Z-γ vertex in the framework based on the hidden local symmetry (HLS), which arises from the gauge invariant terms for intrinsic parity-odd (IP-odd) part of the effective action. Those terms are given as the homogeneous part of the general solution (having free parameters) to the Wess-Zumino (WZ) anomaly equation and hence are not determined by the anomaly, in sharp contrast to the Harvey-Hill-Hill (HHH) action where the relevant vertex is claimed to be uniquely determined by the anomaly. We show that, even in the framework that HHH was based on, the ω-Z-γ vertex is actually not determined by the anomaly but by the homogeneous (anomaly-free) part of the general solution to the WZ anomaly equation having free parameters in the same way as in the HLS formulation: The HHH action is just a particular choice of the free parameters in the general solution. We further show that the ω-Z-γ vertex related to the neutrino (ν) -nucleon (N ) scattering cross section σ(νN → νN (N ′ )γ) is determined not by the anomaly but by the anomaly-free part of the general solution having free parameters. Nevertheless we find that the cross section σ(νN → νN (N ′ )γ) is related through the Ward-Takahashi identity to Γ(ω → π 0 γ) which has the same parameter-dependence as that of σ(νN → νN (N ′ )γ) and hence the ratio σ(νN → νN (N ′ )γ)/Γ(ω → π 0 γ) is fixed independently of these free parameters. Other set of the free parameters of the general solution can be fixed to make the best fit of the ω → π 0 l + l − process, which substantially differs from the HHH action. This gives a prediction of the cross section σ(νN → νN (N ′ )γ * (l + l − )) to be tested at ν-N collision experiments in the future.

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“…Similar four terms were introduced in Ref. [15] based on the massive Yang-Mills approach for vector meson field. On the other hand, if the external fields are turned off in Eq.…”

Section: The General Solution In the Hhh Formulationmentioning

confidence: 94%

Anomalousω-Z-γvertex from hidden local symmetry

2011

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“…[23]. Or one can introduce the massive vector fields following the method outlined in [19,20]. For most of the known physical applications these approaches provide identical results (at the tree level).…”

Section: Vacuum Structure and Different Phasesmentioning

confidence: 99%

“…Interestingly, indeed, the particular choice of the vector coupling respecting YangMills relations is the one often assumed in literature when introducing the quark composite field ρ at the effective Lagrangian level [19,20]. For example the gauge choice of the couplings emerges very naturally when the vector mesons are introduced as gauge fields of an hidden local gauge symmetry [8].…”

Section: Introductionmentioning

confidence: 99%

General structure of relativistic vector condensation

Sannino

2003

Phys. Rev. D

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We study relativistic massive vector condensation due to a non zero chemical potential associated to some of the global conserved charges of the theory. We show that the phase structure is very rich. More specifically there are three distinct phases depending on the value of one of the zero chemical potential vector self interaction terms. We also develop a formalism which enables us to investigate the vacuum structure and dispersion relations in the spontaneously broken phase of the theory. We show that in a certain limit of the couplings and for large chemical potential the theory is not stable. This limit, interestingly, corresponds to a gauge type limit often employed to economically describe the ordinary vector mesons self interactions in QCD. We finally indicate for which physical systems our analysis is relevant.

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“…[28]) and they are all equivalent at tree-level. We choose to introduce the massive vector fields following the method outlined in [29][30][31][32]. This method also allows a straightforward generalization of our model to an arbitrary number of space dimensions.…”

Section: B the Vector Storymentioning

confidence: 99%

Relativistic massive vector condensation

Sannino

Schäfer

2002

Physics Letters B

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At sufficiently high chemical potential massive relativistic spin one fields condense. This phenomenon leads to the spontaneous breaking of rotational invariance while linking it to the breaking of internal symmetries. We study the relevant features of the phase transition and the properties of the generated Goldstone excitations. The interplay between the internal symmetry of the vector fields and their Lorentz properties is studied. We predict that new phases set in when vectors condense in Quantum Chromodynamics like theories.

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Chiral Lagrangian of pseudoscalars and vectors

Cited by 137 publications

References 6 publications

Anomalousω-Z-γvertex from hidden local symmetry

Anomalousω-Z-γvertex from hidden local symmetry

General structure of relativistic vector condensation

Relativistic massive vector condensation

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