Inertial Symmetry Breaking

Abstract

We review and expand upon recent work demonstrating that Weyl invariant theories can be broken "inertially," which does not depend upon a potential. This can be understood in a general way by the "current algebra" of these theories, independently of specific Lagrangians. Maintaining the exact Weyl invariance in a renormalized quantum theory can be accomplished by renormalization conditions that refer back to the VEV's of fields in the action. We illustrate the computation of a Weyl invariant Coleman-Weinberg potential that breaks a U(1) symmetry together,with scale invariance.

12 pages, 1 figure, Invited talk delivered at: "The Great Solar Eclipse Conference,"Aug. 20, 2017, Columbia, MO, USA, "Collider Physics and the Cosmos," Galileo Galilei Institute, Oct. 9, 2017, Arcetri, Florence, Italy, Physics Colloquium, Departamento de Fisica Teoricam Universidad de Valencia, Oct. 18, 2017, Burjassot, Valencia, Spain, Fermilab Seminar, Winter 2017

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