2017
DOI: 10.1103/physrevd.95.114011
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Chiral-scale effective theory including a dilatonic meson

Abstract: A scale-invariant chiral effective Lagrangian is constructed for octet pions and a dilaton figuring as Nambu-Goldstone bosons with vector mesons incorporated as hidden gauge fields. The Lagrangian is built to the next-to-leading order in chiral-scale counting without baryon fields and then to leading order including baryons. The resulting theory is hidden scale-symmetric and local symmetric. We also discuss some possible applications of the present Lagrangian.Comment: 12 page, changes to match the published ve… Show more

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Cited by 41 publications
(92 citation statements)
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“…where V = (ρ, ω), holds in RI. To the leading order in the counting involved with both scale and chiral symmetries [41], the hidden gauge coupling g V and the dilatonnucleon coupling g σN do not scale in RI. It should be stressed that this expression (18) uses approximate equality.…”
Section: Bshls Lagrangianmentioning
confidence: 99%
See 1 more Smart Citation
“…where V = (ρ, ω), holds in RI. To the leading order in the counting involved with both scale and chiral symmetries [41], the hidden gauge coupling g V and the dilatonnucleon coupling g σN do not scale in RI. It should be stressed that this expression (18) uses approximate equality.…”
Section: Bshls Lagrangianmentioning
confidence: 99%
“…it is straightforward to derive from (41) and (42) the vacuum expectation value (VEV) of the TEMT θ µ µ (we work in the chiral limit)…”
Section: Pseudoconformal Equation Of Statementioning
confidence: 99%
“…It is interesting to note that at the leading order of the BChPT, the scalaron effects on the nucleon mass by coincidence looks just like the Brown-Rho (BR) scaling [43], or the leading-order scale symmetry relation [44,45] as a sort of the extension of the BR scaling.…”
Section: Coupling Scalaron To Baryon Chiral Perturbation Theory At Lementioning
confidence: 99%
“…Leading-order scale symmetry As we discussed above, it is essential to remove the strong constraint of the classical scale invariance to give a mass to the dilaton, and also to include a nonperturbative gluonic effect from the underlying dynamics. One possible access to achieve them is to introduce a small explicit breaking term characterized by a breaking parameter a arising from the scale anomaly, which is conventionally known as the leading order scale symmetry (LOSS) in the fermionic QCD [7]:…”
Section: A Scale-invariant Linear Sigma Modelmentioning
confidence: 99%