Editing Immirzi parameter (section)

== Scale-invariant theory ==
For [[Scale invariance|scale-invariant]] [[Dilaton|dilatonic theories of gravity]] with [[Standard Model|standard model]]-type matter couplings, Charles Wang and co-workers show that their loop quantization lead to a conformal class of [[Canonical quantum gravity#Canonical quantization in Ashtekar–Barbero variables and LQG|Ashtekar–Barbero connection variables]] using the Immirzi parameter as a conformal gauge parameter without a preferred value.<ref>{{Cite journal|last1=Wang|first1=Charles|last2=Stankiewicz|first2=Marcin|date=2020-01-10|title=Quantization of time and the big bang via scale-invariant loop gravity|journal=Physics Letters B|language=en|volume=800|pages=135106|doi=10.1016/j.physletb.2019.135106|arxiv=1910.03300|bibcode=2020PhLB..80035106W|issn=0370-2693|doi-access=free}}</ref><ref>{{Cite journal|last1=Wang|first1=Charles H.-T.|last2=Rodrigues|first2=Daniel P. F.|date=2018-12-28|title=Closing the gaps in quantum space and time: Conformally augmented gauge structure of gravitation|url=https://link.aps.org/doi/10.1103/PhysRevD.98.124041|journal=Physical Review D|volume=98|issue=12|pages=124041|doi=10.1103/PhysRevD.98.124041|arxiv=1810.01232|bibcode=2018PhRvD..98l4041W|hdl=2164/11713|s2cid=118961037|hdl-access=free}}</ref><ref>{{Cite journal|last1=Veraguth|first1=Olivier J.|last2=Wang|first2=Charles H.-T.|date=2017-10-05|title=Immirzi parameter without Immirzi ambiguity: Conformal loop quantization of scalar-tensor gravity|url=https://link.aps.org/doi/10.1103/PhysRevD.96.084011|journal=Physical Review D|volume=96|issue=8|pages=084011|doi=10.1103/PhysRevD.96.084011|arxiv=1705.09141|bibcode=2017PhRvD..96h4011V|hdl=2164/9414|s2cid=35110634|hdl-access=free}}</ref> Accordingly, a different choice of the value for the Immirzi parameter for such a theory merely singles out a conformal frame without changing the physical descriptions.