High Energy Particle Physics


Conformal Symmetry Breaking in Einstein-Cartan Gravity Coupled to the Electroweak Theory

Authors: J. Lee Montag

We develop an alternative to the Higgs mechanism for spontaneously breaking the local SU(2)xU(1) gauge invariance of the Electroweak Theory by coupling to Einstein-Cartan gravity in curved spacetime. The theory exhibits a local scale invariance in the unbroken phase, while the gravitational sector does not propagate according to the conventional quantum field theory definition. We define a unitary gauge for the local SU(2) invariance which results in a complex Higgs scalar field. This approach fixes the local SU(2) gauge without directly breaking the local U(1). We show how the electroweak symmetry can be spontaneously broken by choosing a reference mass scale to fix the local scale invariance. The mass terms for the quantum fields are then generated without adding any additional symmetry breaking terms to the theory. We point out subtle differences of the quantum field interactions in the broken phase.

Comments: 7 Pages.

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Submission history

[v1] 2018-09-25 05:41:57 (removed)
[v2] 2018-10-07 11:17:13 (removed)
[v3] 2018-10-08 09:47:13 (removed)
[v4] 2018-10-13 10:19:16
[v5] 2018-12-03 07:36:53

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