On classicalization in nonlinear sigma models
arXiv:1202.1101 · doi:10.1016/j.physletb.2012.03.073
Abstract
We consider the phenomenon of classicalization in nonlinear sigma models with both positive and negative target space curvature and with any number of derivatives. We find that the theories with only two derivatives exhibit a weak form of classicalization, and that the quantitative results depend on the sign of the curvature. Nonlinear sigma models with higher derivatives show a strong form of the phenomenon which is independent of the sign of curvature. We argue that weak classicalization may actually be equivalent to asymptotic safety, whereas strong classicalization seems to be a genuinely different phenomenon. We also discuss possible ambiguities in the definition of the classical limit.
14 pages
References in corpus (11)
- Ultraviolet properties of f(R)-Gravity
- The Higgs Phenomenon in Quantum Gravity
- Physics of Trans-Planckian Gravity
- Dynamics of Unitarization by Classicalization
- Fixed Points of Nonlinear Sigma Models in d>2
- Classicalization of Gravitons and Goldstones
- Asymptotic Safety, Emergence and Minimal Length
- The hbar Expansion in Quantum Field Theory
- Asymptotic safety and the gauged SU(N) nonlinear sigma-model
- Fermions and Goldstone bosons in an asymptotically safe model
- The electroweak S and T parameters from a fixed point condition
Cited by in corpus (13)
- Lectures on renormalization and asymptotic safety
- Self-healing of unitarity in effective field theories and the onset of new physics
- Road Signs for UV-Completion
- Suppressing Quantum Fluctuations in Classicalization
- A quantum bound on the compactness
- Ultra-High Energy Probes of Classicalization
- Quantum black holes in bootstrapped Newtonian gravity
- Minimum length (scale) in Quantum Field Theory, Generalized Uncertainty Principle and the non-renormalisability of gravity
- A quantum state for the late Universe
- Unitarization and Causalization of Non-local quantum field theories by Classicalization
- UV self-completion of a theory of Superfluid Dark Matter
- Classicalization as a tunnelling phenomenon
- Quantum Corrections in Classicalon Theories