Generalized 
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 transformations in the three-Higgs-doublet model

Maniatis, Markos; Nachtmann, Otto

doi:10.1103/physrevd.100.115044

Cited by 2 publications

(1 citation statement)

References 60 publications

(83 reference statements)

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“…It is also of interest to notice that Feynman's tree theorem has recently been considered by physicists working in the field of advanced perturbative calculations and generalized unitarity (see e.g. [111]- [115]).…”

Section: Renormalizabilitymentioning

confidence: 99%

A road map for Feynman's adventures in the land of gravitation

Di Mauro,

Esposito,

Naddeo

2021

Preprint

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Feynman's multifaceted contributions to gravitation, as can be inferred from several published and unpublished sources, are here reviewed. Feynman thought about this subject at least from late 1954 to the late '60s, giving several pivotal contributions to it, and as a byproduct, also to Yang-Mills theory. Even though he only published three papers on gravity, much more material is available, especially the records of his many interventions at the Chapel Hill conference in 1957, which are here analyzed in detail. In that conference, Feynman showed that he had already developed much of his picture of gravity, and in addition he expressed deep thoughts about fundamental issues in quantum mechanics, such as superpositions of the wave functions of macroscopic objects and the role of the observer, which were suggested by the problem of quantum gravity. Moreover, Feynman lectured on gravity several times. Besides the famous lectures given at Caltech in 1962-63, he extensively discussed this subject in a series of lectures given at the Hughes Aircraft Company in 1966-67, whose focus was astronomy and astrophysics. Here Feynman gave a somewhat simplified exposition with respect to the Caltech lectures, but with many original points. All this material allows to reconstruct a detailed picture of Feynman's ideas on gravity and of its evolution until the late sixties. The main points are that gravity, like electromagnetism, has a quantum foundation, so that classical general relativity has to be regarded as emerging from an underlying quantum theory in the classical limit, and that this quantum theory has to be investigated by computing physical processes, as if they were easily measurable. The same attitude is shown with respect to gravitational waves, as evident both from the Chapel Hill records and an unpublished letter written to V. Weisskopf. As a bonus, an original approach to gravity, which closely mimics (and probably was inspired by) the derivation of the Maxwell equations he gave in that period, is hinted at in the unpublished lectures.

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Section: Renormalizabilitymentioning

confidence: 99%

A road map for Feynman's adventures in the land of gravitation

Di Mauro,

Esposito,

Naddeo

2021

Preprint

View full text Add to dashboard Cite

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Discriminating betweenCPand family transformations in the bilinear space of theN-Higgs-doublet model

Иванов

Nishi

2020

Phys. Rev. D

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The scalar potential of the N -Higgs-doublet model (NHDM) is best analyzed not in the space of N complex doublets φa but in the N 2 -dimensional space of real-valued bilinears constructed of φ † a φ b . In particular, many insights have been gained into CP violation in the 2HDM and 3HDM by studying how generalized CP transformations (GCPs) act in this bilinear space. These insights relied on the fact that GCPs, which involved an odd number of mirror reflection, could be clearly distinguished from Higgs family transformations by the sign of the determinant of the transformation matrix. It was recently pointed out that this criterion fails starting from 4HDM, where the reflection/rotation dichotomy does not exist anymore. In this paper, we restore intuition by finding a different quantity which faithfully discriminates between GCPs and Higgs family transformations in the bilinear space for any number of Higgs doublets. We also establish the necessary and sufficient conditions for an orthogonal transformation in the bilinear space to represent a viable transformation back in the space of N doublets, which is helpful if one prefers to build an NHDM directly in the bilinear space. *

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Generalized P and CP transformations in the three-Higgs-doublet model

Cited by 2 publications

References 60 publications

A road map for Feynman's adventures in the land of gravitation

A road map for Feynman's adventures in the land of gravitation

Discriminating betweenCPand family transformations in the bilinear space of theN-Higgs-doublet model

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