Anomaly-free scale symmetry and gravity
Shaposhnikov, M., & Tokareva, A. (2023). Anomaly-free scale symmetry and gravity. Physics Letters B, 840, Article 137898. https://doi.org/10.1016/j.physletb.2023.137898
Published in
Physics Letters BDate
2023Copyright
© 2023 the Authors
In this Letter, we address the question of whether the conformal invariance can be considered as a global symmetry of a theory of fundamental interactions. To describe Nature, this theory must contain a mechanism of spontaneous breaking of the scale symmetry. Besides that, the fundamental theory must include gravity, whereas all known extensions of the conformal invariance to the curved space-time suffer from the Weyl anomaly. We show that conformal symmetry can be made free from quantum anomaly only in flat space. The presence of gravity would reduce the global symmetry group of the fundamental theory to the scale invariance only. We discuss how the effective Lagrangian respecting the scale symmetry can be used for the description of particle phenomenology and cosmology.
Publisher
Elsevier BVISSN Search the Publication Forum
0370-2693Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/182735474
Metadata
Show full item recordCollections
Related funder(s)
Research Council of FinlandFunding program(s)
Academy Project, AoFAdditional information about funding
This work was supported by ERC-AdG-2015 grant 694896 and by the Swiss National Science Foundation Excellence grant 200020B 182864. The work was also supported by the Academy of Finland grant 318319.License
Related items
Showing items with similar title or keywords.
-
Massless positivity in graviton exchange
Herrero-Valea, Mario; Santos-Garcia, Raquel; Tokareva, Anna (American Physical Society (APS), 2021)We formulate positivity bounds for scattering amplitudes including exchange of massless particles. We generalize the standard construction through dispersion relations to include the presence of a branch cut along the real ... -
The 1-loop effective potential for the Standard Model in curved spacetime
Markkanen, Tommi; Nurmi, Sami; Rajantie, Arttu; Stopyra, Stephen (Springer, 2018)The renormalisation group improved Standard Model effective potential in an arbitrary curved spacetime is computed to one loop order in perturbation theory. The loop corrections are computed in the ultraviolet limit, which ... -
Generalized symmetries in nanostructure simulations
Kit, Oleg O. (2009) -
Minimal walking with Z6 symmetry
Hapola, Tuomas (2009) -
Uncertainty analysis and symmetry restoration in nuclear self-consistent methods
Gao, Yuan (University of Jyväskylä, 2015)This thesis contains two articles, in the following denoted by I and II, and an introduction to them. In Chapter 1, I present the theoretical models of nuclear structure. In Chapter 2, I introduce the basic ideas about ...