TY - JOUR
T1 - Discreteness corrections and higher spatial derivatives in effective canonical quantum gravity
AU - Bojowald, Martin
AU - Paily, George M.
AU - Reyes, Juan D.
PY - 2014/7/21
Y1 - 2014/7/21
N2 - Canonical quantum theories with discrete space may imply interesting effects. This paper presents a general effective description, paying due attention to the role of higher spatial derivatives in a local expansion and differences to higher time derivatives. In a concrete set of models, it is shown that spatial derivatives one order higher than the classical one are strongly restricted in spherically symmetric effective loop quantum gravity. Moreover, radial holonomy corrections alone cannot be anomaly free to this order.
AB - Canonical quantum theories with discrete space may imply interesting effects. This paper presents a general effective description, paying due attention to the role of higher spatial derivatives in a local expansion and differences to higher time derivatives. In a concrete set of models, it is shown that spatial derivatives one order higher than the classical one are strongly restricted in spherically symmetric effective loop quantum gravity. Moreover, radial holonomy corrections alone cannot be anomaly free to this order.
UR - http://www.scopus.com/inward/record.url?scp=84904895647&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84904895647&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.90.025025
DO - 10.1103/PhysRevD.90.025025
M3 - Article
AN - SCOPUS:84904895647
SN - 1550-7998
VL - 90
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 2
M1 - 025025
ER -