Structure of Phenomenological Lagrangians. I

Coleman, Sidney; Zumino, Bruno; Wess, Julius

doi:10.1103/physrev.177.2239

Cited by 2,097 publications

(2,441 citation statements)

References 9 publications

Supporting

Mentioning

2,384

Contrasting

Unclassified

Order By: Relevance

“…Let us first review the basic model set up relying on the CCWZ prescription since the original global symmetry G is nonlinearly realized [12,13]. The global symmetry breaking pattern is SO(5) → SO(4), as SO(4) ≃ SU(2) L × SU(2) R , the custodial symmetry is preserved and only the subgroup SU(2) L × U(1) R is weakly gauged which results in an explicit breaking of the global symmetry at tree level.…”

Section: Composite Higgs Modelmentioning

confidence: 99%

Higgs-Z-photon coupling from effect of composite resonances

Cai

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

Section: Composite Higgs Modelmentioning

confidence: 99%

Higgs-Z-photon coupling from effect of composite resonances

Cai

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Thus it has been realized already a long time ago [1,2,3] that a regime of low-energy QCD should exist where the dynamics is governed by the Goldstone boson modes. In that regime an effective field theory of QCD, usually called chiral perturbation theory (CHPT), can be set up, which is written in terms of the very Goldstone degrees of freedom, with their couplings to matter fields dictated by chiral dynamics [4,5,6]. Recently doubts have been issued in the literature [7,8,9,10] whether such an effective field theory, in particular when it is utilized in connection with dimensional regularization, is "effective" enough to be applied to extended objects with complicated internal structure like baryons.…”

Section: Introductionmentioning

confidence: 99%

Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass

2004

View full text Add to dashboard Cite

We discuss the use of cutoff methods in chiral perturbation theory. We develop a cutoff scheme based on the operator structure of the effective field theory that allows to suppress high momentum contributions in Goldstone boson loop integrals and by construction is free of the problems traditional cutoff schemes have with gauge invariance or chiral symmetries. As an example, we discuss the chiral expansion of the nucleon mass. Contrary to other claims in the literature we show that the mass of a nucleon in heavy baryon chiral perturbation theory has a well behaved chiral expansion up to effective Goldstone boson masses of 400 MeV when one utilizes standard dimensional regularization techniques. With the help of the here developed cutoff scheme we can demonstrate a well-behaved chiral expansion for the nucleon mass up to 600 MeV of effective Goldstone Boson masses. We also discuss in detail the prize, in numbers of additional short distance operators involved, that has to be paid for this extended range of applicability of chiral perturbation theory with cutoff regularization, which is usually not paid attention to. We also compare the fourth order result for the chiral expansion of the nucleon mass with lattice results and draw some conclusions about chiral extrapolations based on such type of representation.

show abstract

“…Using the method of orbits [8] we give the group-theoretical interpretation of the centre of mass phase space and compare our construction with that of Gibbons and Pope. We also show that the dynamics exhibiting Newton-Hooke symmetry can be described in terms of nonlinear realization [9] in a similar way as proposed by Ivanov, Krivonos and Leviant [11] in the case of conformally invariant dynamics.…”

Section: Introductionmentioning

confidence: 69%

“…The structure of phase space can be also described from the point of view of nonlinear realizations [9]. Call H = {L, R, T }, A = { L, R}.…”

Section: Dynamics and Symmetry Of Planar Oscillatormentioning

confidence: 99%