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Cited by 123 publications
(128 citation statements)
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“…The term (15) corresponds to the anomalous second term in the right hand side of (1). Therefore, the scale anomaly of QCD manifests itself in the theory defined by (13) and (14) through a term containing the axillary scalar field h [11], without any dimensionful parameters.…”
Section: Effective Lagrangianmentioning
confidence: 99%
See 1 more Smart Citation
“…The term (15) corresponds to the anomalous second term in the right hand side of (1). Therefore, the scale anomaly of QCD manifests itself in the theory defined by (13) and (14) through a term containing the axillary scalar field h [11], without any dimensionful parameters.…”
Section: Effective Lagrangianmentioning
confidence: 99%
“…(10), (12) show that although the scale symmetry of the classical Yang-Mills (8) has been broken down by quantum fluctuations [15], there still remains a symmetry imposed by the invariance of the observables under the Renormalization Group. In the next section we are going to construct an effective Lagrangian which saturates (12) at long distances and matches onto the one-loop perturbative effective Lagrangian at short distances.…”
Section: Renormalization Group and Low Energy Theoremsmentioning
confidence: 99%
“…where γ m are the anomalous dimensions; in the following we will assume that the current quark masses are redefined as (1 + γ m )m. The appearance of the scalar gluon operator in (7) is the consequence of scale anomaly [10], [11]. The QCD beta function can be written as…”
Section: The Coupling Of Higgs Boson To Hadrons In Non-perturbative Qcdmentioning
confidence: 99%
“…Then the low energy effective theory contains a dilaton field σ(x), which can be thought of as the NGB associated with the breaking of scale invariance [23][24][25][26]. The additional four NGBs associated with the breaking of the special conformal symmetry can be identified with the derivatives of the dilaton, rather than as independent propagating fields.…”
Section: Effective Theory Of a Dilatonmentioning
confidence: 99%
“…In theories where an exact conformal symmetry is spontaneously broken, the low energy effective theory below the breaking scale contains a massless scalar, the dilaton, which may be thought of as the NambuGoldstone boson (NGB) associated with the breaking of conformal symmetry [23][24][25][26]. The form of the dilaton couplings is fixed by the requirement that conformal symmetry be realized nonlinearly, and so this framework is extremely predictive.…”
Section: Introductionmentioning
confidence: 99%