Broken Weyl Invariance and the Origin of Mass

Foundations of Physics 29 (7):1023-1064 (1999)

Abstract

A massless Weyl-invariant dynamics of a scalar, a Dirac spinor, and electromagnetic fields is formulated in a Weyl space, W4, allowing for conformal rescalings of the metric and of all fields with nontrivial Weyl weight together with the associated transformations of the Weyl vector fields κμ, representing the D(1) gauge fields, with D(1) denoting the dilatation group. To study the appearance of nonzero masses in the theory the Weyl symmetry is broken explicitly and the corresponding reduction of the Weyl space W4 to a pseudo-Riemannian space V4 is investigated assuming the breaking to be determined by an expression involving the curvature scalar R of the W4 and the mass of the scalar, selfinteracting field. Thereby also the spinor field acquires a mass proportional to the modulus Φ of the scalar field in a Higgs-type mechanism formulated here in a Weyl-geometric setting with Φ providing a potential for the Weyl vector fields κμ. After the Weyl-symmetry breaking, one obtains generally covariant and U(1) gauge covariant field equations coupled to the metric of the underlying V4. This metric is determined by Einstein's equations, with a gravitational coupling constant depending on Φ, coupled to the energy momentum tensors of the now massive fields involved together with the (massless) radiation fields

Download options

PhilArchive



    Upload a copy of this work     Papers currently archived: 72,722

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Analytics

Added to PP
2013-11-22

Downloads
86 (#138,594)

6 months
2 (#259,476)

Historical graph of downloads
How can I increase my downloads?

References found in this work

No references found.

Add more references

Citations of this work

Mass Generation by Weyl Symmetry Breaking.Wolfgang Drechsler - 1999 - Foundations of Physics 29 (9):1327-1369.

Add more citations

Similar books and articles

Mass Generation by Weyl Symmetry Breaking.Wolfgang Drechsler - 1999 - Foundations of Physics 29 (9):1327-1369.
Modified Weyl Theory and Extended Elementary Objects.W. Drechsler - 1989 - Foundations of Physics 19 (12):1479-1497.
Canonical Quantization of a Massive Weyl Field.Maxim Dvornikov - 2012 - Foundations of Physics 42 (11):1469-1479.
Weyl's Geometry and Physics.Nathan Rosen - 1982 - Foundations of Physics 12 (3):213-248.
Wesson’s Induced Matter Theory with a Weylian Bulk.Mark Israelit - 2005 - Foundations of Physics 35 (10):1725-1748.
Torsional Weyl-Dirac Electrodynamics.Mark Israelit - 1998 - Foundations of Physics 28 (2):205-229.
A Spinor Equation of the Pure Electromagnetic Field.Granville A. Perkins - 1978 - Foundations of Physics 8 (9-10):745-757.
Weyl’s Gauge Argument.Alexander Afriat - 2013 - Foundations of Physics 43 (5):699-705.
A Weyl-Dirac Geometric Particle.Mark Israelit & Nathan Rosen - 1996 - Foundations of Physics 26 (5):585-594.