TY - JOUR
T1 - Ricci linear weyl/maxwell mutual sourcing
AU - Davidson, Aharon
AU - Ygael, Tomer
N1 - Funding Information:
Funding: T.Y. was supported by the Israeli Science Foundation Grant No. 1635/16.
Publisher Copyright:
© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
PY - 2020/1/1
Y1 - 2020/1/1
N2 - We elevate the field theoretical similarities between Maxwell and Weyl vector fields into a full local scale/gauge invariant Weyl/Maxwell mutual sourcing theory. In its preliminary form, and exclusively in four dimensions, the associated Lagrangian is dynamical scalar field free, hosts no fermion matter fields, and Holdom kinetic mixing is switched off. The mutual sourcing term is then necessarily spacetime curvature (not just metric) dependent, and inevitably Ricci linear, suggesting that a non-vanishing spacetime curvature can in principle induce an electromagnetic current. In its mature form, however, the Weyl/Maxwell mutual sourcing idea serendipitously constitutes a novel variant of the gravitational Weyl-Dirac (incorporating Brans-Dicke) theory. Counter intuitively, and again exclusively in four dimensions, the optional quartic scalar potential gets consistently replaced by a Higgs-like potential, such that the co-divergence of the Maxwell vector field resembles a conformal vacuum expectation value.
AB - We elevate the field theoretical similarities between Maxwell and Weyl vector fields into a full local scale/gauge invariant Weyl/Maxwell mutual sourcing theory. In its preliminary form, and exclusively in four dimensions, the associated Lagrangian is dynamical scalar field free, hosts no fermion matter fields, and Holdom kinetic mixing is switched off. The mutual sourcing term is then necessarily spacetime curvature (not just metric) dependent, and inevitably Ricci linear, suggesting that a non-vanishing spacetime curvature can in principle induce an electromagnetic current. In its mature form, however, the Weyl/Maxwell mutual sourcing idea serendipitously constitutes a novel variant of the gravitational Weyl-Dirac (incorporating Brans-Dicke) theory. Counter intuitively, and again exclusively in four dimensions, the optional quartic scalar potential gets consistently replaced by a Higgs-like potential, such that the co-divergence of the Maxwell vector field resembles a conformal vacuum expectation value.
KW - Dilaton
KW - Higgs potential
KW - Holdom kinetic mixing
KW - Maxwell vector field
KW - Ricci curvature
KW - Scale invariance
KW - U(1) gauge invariance
KW - Weyl gravity
KW - Weyl vector field
UR - http://www.scopus.com/inward/record.url?scp=85094894895&partnerID=8YFLogxK
U2 - 10.3390/UNIVERSE6090151
DO - 10.3390/UNIVERSE6090151
M3 - Article
AN - SCOPUS:85094894895
SN - 2218-1997
VL - 6
JO - Universe
JF - Universe
IS - 9
M1 - 151
ER -