Becchi-Rouet-Stora-Tyutin symmetry

Becchi, C.; Imbimbo, Camillo

doi:10.4249/scholarpedia.7135

Cited by 155 publications

(250 citation statements)

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“…(44)- (45) are nothing more than the ordinary Lehmann-Symanzik-Zimmermann reduction rules for calculating the S-matrix elements, see e.g. [69]. Similarly, the CP asymmetry ε ðZνÞ ji can be calculated with the aid of Eq.…”

Section: A Cp Violationmentioning

confidence: 99%

Conformal standard model, leptogenesis, and dark matter

2018

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The conformal standard model is a minimal extension of the Standard Model (SM) of particle physics based on the assumed absence of large intermediate scales between the TeV scale and the Planck scale, which incorporates only right-chiral neutrinos and a new complex scalar in addition to the usual SM degrees of freedom, but no other features such as supersymmetric partners. In this paper, we present a comprehensive quantitative analysis of this model, and show that all outstanding issues of particle physics proper can in principle be solved "in one go" within this framework. This includes in particular the stabilization of the electroweak scale, "minimal" leptogenesis and the explanation of dark matter, with a small mass and very weakly interacting Majoron as the dark matter candidate (for which we propose to use the name "minoron"). The main testable prediction of the model is a new and almost sterile scalar boson that would manifest itself as a narrow resonance in the TeV region. We give a representative range of parameter values consistent with our assumptions and with observation.

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Section: A Cp Violationmentioning

confidence: 99%

Conformal standard model, leptogenesis, and dark matter

2018

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“…In the Abelian case of quantum electrodynamics, these are the Ward-Takahashi identities [23-25] discussed above; in a non-Abelian theory, gauge invariance for Green's functions is most succinctly expressed by the Becchi-Rouet-Stora-Tyutin (BRST) identities [37], which summarize the earlier forms found by Taylor [38] and Slavnov [39]. For Green's functions, this requirement is expressed by the Ward identities.…”

Section: Triangle Anomaliesmentioning

confidence: 99%

“…To ensure that renormalization is consistent with local gauge invariance, as is essential to preserve perturbative unitarity, the remarkable BRST identities [37] (and anti-BRST identities [62][63][64][65][66]) are much simpler to implement than the Taylor-Slavnov [38,39] identities to which they are equivalent.…”

Section: Becchi-rouet-stora-tyutin Transformationmentioning

confidence: 99%

“…The ingenious idea of Becchi et al [37] is to relate the gauge function to the ghost field c(x) by θ θ θ(x) = gc(x)δλ (3.267) where δλ is an (infinitesimal) anticommuting c-number. The ingenious idea of Becchi et al [37] is to relate the gauge function to the ghost field c(x) by θ θ θ(x) = gc(x)δλ (3.267) where δλ is an (infinitesimal) anticommuting c-number.…”

Section: Becchi-rouet-stora-tyutin Transformationmentioning

confidence: 99%

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Renormalization

2008

Gauge Field Theories

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“…However, effective locality appears to be more tricky an issue as soon as one sticks to the standard framework of BRST symmetry, whose definite perturbative character has been recognized [3]. Yet, a more involved treatment [2] allows one to recover the property of effective locality, by restoring the manifest gauge-invariance which is broken at the level of the Halpern representation (See Eq.…”

Section: Introductionmentioning

confidence: 99%

On a strong coupling property of QCD

Grandou

2017

EPJ Web Conf.

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Abstract. The fermionic Green's functions of QCD exhibit an unexpected property of effective locality, which appears to be exact, involving no approximation. In the limit of strong coupling, and at eikonal and quenching approximations (where this property was first discovered), effective locality implies a dependence of non-perturbative fermionic Green's functions on the full algebraic content of the rank 2-S U c (3) color algebra. At variance with Perturbation Theory and a variety of non-perturbative approaches also, C 3 -dependences show up, where C 3 stands for the second, trilinear Casimir invariant of S U c (3). These dependences are sub-leading in magnitude and seem to comply with the maximally allowed departures from the pure C 2 behaviours advocated by lattice numerical estimates.

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Becchi-Rouet-Stora-Tyutin symmetry

Cited by 155 publications

References 0 publications

Conformal standard model, leptogenesis, and dark matter

Conformal standard model, leptogenesis, and dark matter

Renormalization

On a strong coupling property of QCD

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