Two-measure approach to breaking scale-invariance in a standard-model extension
We introduce Weyl's scale-invariance as an additional global symmetry in the standard model of electroweak interactions. A natural consequence is the introduction of general relativity coupled to scalar fields à la Dirac, that includes the Higgs doublet and a singlet σ-field required for implem...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-02-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316306992 |
| _version_ | 1818032599093739520 |
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| author | Eduardo I. Guendelman Hitoshi Nishino Subhash Rajpoot |
| author_facet | Eduardo I. Guendelman Hitoshi Nishino Subhash Rajpoot |
| author_sort | Eduardo I. Guendelman |
| collection | DOAJ |
| description | We introduce Weyl's scale-invariance as an additional global symmetry in the standard model of electroweak interactions. A natural consequence is the introduction of general relativity coupled to scalar fields à la Dirac, that includes the Higgs doublet and a singlet σ-field required for implementing global scale-invariance. We introduce a mechanism for ‘spontaneous breaking’ of scale-invariance by introducing a coupling of the σ-field to a new metric-independent measure Φ defined in terms of four scalars ϕi (i = 1, 2, 3, 4). Global scale-invariance is regained by combining it with internal diffeomorphism of these four scalars. We show that once the global scale-invariance is broken, the phenomenon (a) generates Newton's gravitational constant GN and (b) triggers spontaneous symmetry breaking in the normal manner resulting in masses for the conventional fermions and bosons. In the absence of fine-tuning the scale at which the scale-symmetry breaks can be of order Planck mass. If right-handed neutrinos are also introduced, their absence at present energy scales is attributed to their mass terms tied to the scale where scale-invariance breaks. |
| first_indexed | 2024-12-10T06:09:56Z |
| format | Article |
| id | doaj.art-67621a7b8d8b4619ab44c2dec16284d6 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-10T06:09:56Z |
| publishDate | 2017-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-67621a7b8d8b4619ab44c2dec16284d62022-12-22T01:59:36ZengElsevierPhysics Letters B0370-26931873-24452017-02-01765C25125510.1016/j.physletb.2016.11.036Two-measure approach to breaking scale-invariance in a standard-model extensionEduardo I. Guendelman0Hitoshi Nishino1Subhash Rajpoot2Department of Physics, Ben Gurion University of the Negev, Beer Sheva 84105, IsraelDepartment of Physics & Astronomy, California State University, 1250 Bellflower Boulevard, Long Beach, CA 90840, United StatesDepartment of Physics & Astronomy, California State University, 1250 Bellflower Boulevard, Long Beach, CA 90840, United StatesWe introduce Weyl's scale-invariance as an additional global symmetry in the standard model of electroweak interactions. A natural consequence is the introduction of general relativity coupled to scalar fields à la Dirac, that includes the Higgs doublet and a singlet σ-field required for implementing global scale-invariance. We introduce a mechanism for ‘spontaneous breaking’ of scale-invariance by introducing a coupling of the σ-field to a new metric-independent measure Φ defined in terms of four scalars ϕi (i = 1, 2, 3, 4). Global scale-invariance is regained by combining it with internal diffeomorphism of these four scalars. We show that once the global scale-invariance is broken, the phenomenon (a) generates Newton's gravitational constant GN and (b) triggers spontaneous symmetry breaking in the normal manner resulting in masses for the conventional fermions and bosons. In the absence of fine-tuning the scale at which the scale-symmetry breaks can be of order Planck mass. If right-handed neutrinos are also introduced, their absence at present energy scales is attributed to their mass terms tied to the scale where scale-invariance breaks.http://www.sciencedirect.com/science/article/pii/S0370269316306992Global scale-invarianceStandard modelMetric-independent measureGeneral relativity |
| spellingShingle | Eduardo I. Guendelman Hitoshi Nishino Subhash Rajpoot Two-measure approach to breaking scale-invariance in a standard-model extension Physics Letters B Global scale-invariance Standard model Metric-independent measure General relativity |
| title | Two-measure approach to breaking scale-invariance in a standard-model extension |
| title_full | Two-measure approach to breaking scale-invariance in a standard-model extension |
| title_fullStr | Two-measure approach to breaking scale-invariance in a standard-model extension |
| title_full_unstemmed | Two-measure approach to breaking scale-invariance in a standard-model extension |
| title_short | Two-measure approach to breaking scale-invariance in a standard-model extension |
| title_sort | two measure approach to breaking scale invariance in a standard model extension |
| topic | Global scale-invariance Standard model Metric-independent measure General relativity |
| url | http://www.sciencedirect.com/science/article/pii/S0370269316306992 |
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