Abstract
We establish a mathematically rigorous way to construct effective theories resulting from the spontaneous breaking of conformal invariance. We show that the Namby-Goldstone field corresponding to spontaneously broken generators of special conformal transformations is always a nondynamical degree of freedom. We prove that the developed approach and the standard approach including application of the inverse Higgs mechanism are equivalent.
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The author thanks A. Monin and A. Shkerin for the useful discussions and comments on the draft of this paper.
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This research was supported by a grant from the Russian Science Foundation (Project No. 14-22-00161).
Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 201, No. 2, pp. 266–279, November, 2019.
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Kharuk, I.V. Coset Space Construction for the Conformal Group: Spontaneously Broken Phase and Inverse Higgs Phenomenon. Theor Math Phys 201, 1644–1654 (2019). https://doi.org/10.1134/S0040577919110084
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DOI: https://doi.org/10.1134/S0040577919110084