NDLI: Mass Generation by Weyl Symmetry Breaking

Content Provider	Springer Nature Link
Author	Drechsler, Wolfgang
Copyright Year	1999
Abstract	A massless electroweak theory for leptons is formulated in a Weyl space, W4, yielding a Weyl invariant dynamics of a scalar field φ, chiral Dirac fermion fields ψL and ψR, and the gauge fields κμ, Aμ, Zμ, Wμ, and Wμ †, allowing for conformal rescalings of the metric gμν and all fields with nonvanishing Weyl weight together with the corresponding transformations of the Weyl vector fields, κμ, representing the D(1) or dilatation gauge fields. The local group structure of this Weyl electroweak (WEW) theory is given by $$G = SO(3,1) \otimes D(1) \otimes \tilde G$$ —or its universal coverging group $$\bar G$$ for the fermions—with $$\tilde G$$ denoting the electroweak gauge group SU(2)W × U(1)Y. In order to investigate the appearance of nonzero masses in the theory the Weyl symmetry is explicitly broken by a term in the Lagrangean constructed with the curvature scalar R of the W4 and a mass term for the scalar field. Thereby also the Zμ and Wμ gauge fields as well as the charged fermion field (electron) acquire a mass as in the standard electroweak theory. The symmetry breaking is governed by the relation D μ Φ 2 = 0, where Φ is the modulus of the scalar field and Dμ denotes the Weyl-covariant derivative. This true symmetry reduction, establishing a scale of length in the theory by breaking the D(1) gauge symmetry, is compared to the so-called spontaneous symmetry breaking in the standard electroweak theory, which is, actually, the choice of a particular (nonlinear ) gauge obtained by adopting an origin, $${\hat \phi }$$ , in the coset space representing ϕ, with $${\hat \phi }$$ being invariant under the electromagnetic, gauge group U(1)e.m.. Particular attention is devoted to the appearance of Einstein's equations for the metric after the Weyl symmetry breaking, yielding a pseudo-Riemannian space, V4, from a W4 and a scalar field with a constant modulus $$\hat \phi _0$$ . The quantity $$\hat \phi _0^2$$ affects Einstein's gravitational constant in a manner comparable to the Brans-Dicke theory. The consequences of the broken WEW theory are worked out and the determination of the parameters of the theory is discussed.
Starting Page	1327
Ending Page	1369
Page Count	43
File Format	PDF
ISSN	00159018
Journal	Foundations of Physics
Volume Number	29
Issue Number	9
e-ISSN	15729516
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	1999-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physics Quantum Physics Mechanics Relativity and Cosmology Condensed Matter Biophysics/Biomedical Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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