Gravity in ${\varvec{d=2+\epsilon }}$ dimensions and realizations of the diffeomorphisms group - INSPIRE

DataBETA

Gravity in {\varvec{d=2+\epsilon }} dimensions and realizations of the diffeomorphisms group

Riccardo Martini
(
- Okinawa Inst. Sci. Tech.
)
,
Alessandro Ugolotti
(
- Jena U., TPI
)
,
Francesco Del Porro
(
- SISSA, Trieste
)
,
Omar Zanusso
(
- Pisa U. and
- INFN, Pisa
)

Mar 23, 2021

17 pages

Published in:

Eur.Phys.J.C 81 (2021) 10, 916

Published: Oct 19, 2021

e-Print:

2103.12421 [hep-th]

DOI:

10.1140/epjc/s10052-021-09719-z

View in:

ADS Abstract Service

reference search21 citations

Citations per year

Abstract: (Springer)

We discuss two separate realizations of the diffeomorphism group for metric gravity, which give rise to theories that are classically equivalent, but quantum mechanically distinct. We renormalize them in

d=2+\epsilon

dimensions, developing a new procedure for dimensional continuation of metric theories and highlighting connections with the constructions that previously appeared in the literature. Our hope is to frame candidates for ultraviolet completions of quantum gravity in

d>2

and give some perturbative mean to assess their existence in

d=4

, but also to speculate on some potential obstructions in the continuation of such candidates to finite values of

\epsilon

. Our results suggest the presence of a conformal window in d which seems to extend to values higher than four.

Note:

17 pages, 1 figure; v2: improved draft in response to feedback

gravitation: metric
diffeomorphism
quantum mechanics
quantum gravity
ultraviolet
conformal

References(79)

Figures(1)

[1]

The Ultraviolet Behavior of Einstein Gravity

Marc H. Goroff
(
- Caltech
)
,
Augusto Sagnotti
(
- UC, Berkeley and
- LBL, Berkeley
)

- Nucl.Phys.B 266 (1986) 709-736
•
DOI:
- 10.1016/0550-3213(86)90193-8

[2]

Two loop quantum gravity

A.E.M. van de Ven
(
- Hamburg U. and
- SUNY, Stony Brook
)

- Nucl.Phys.B 378 (1992) 309-366,
- In *Stony Brook 1991, Proceedings, Strings and symmetries 1991* 182-183
•
DOI:
- 10.1016/0550-3213(92)90011-Y

[3]

General relativity as an effective field theory: The leading quantum corrections

John F. Donoghue
(
- Massachusetts U., Amherst
)

- Phys.Rev.D 50 (1994) 3874-3888
•
e-Print:
- gr-qc/9405057
•
DOI:
- 10.1103/PhysRevD.50.3874

[4]

Renormalization Group and Quantum Gravity

Hikaru Kawai
(
- Tokyo U.
)
,
Masao Ninomiya
(
- INS, Tokyo
)

- Nucl.Phys.B 336 (1990) 115-145
•
DOI:
- 10.1016/0550-3213(90)90345-E

[5]

Scaling exponents in quantum gravity near two-dimensions

Hikaru Kawai
(
- Tokyo U.
)
,
Yoshihisa Kitazawa
(
- Tokyo Inst. Tech.
)
,
Masao Ninomiya
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Nucl.Phys.B 393 (1993) 280-300
•
e-Print:
- hep-th/9206081
•
DOI:
- 10.1016/0550-3213(93)90246-L

[6]

Scaling and Renormalization in two dimensional Quantum Gravity

- Phys.Rev.D 92 (2015) 2, 024026
•
e-Print:
- 1412.6837
•
DOI:
- 10.1103/PhysRevD.92.024026

[7]

Quantum Gravity in Two-Dimensions

Alexander M. Polyakov
(
- Landau Inst.
)

- Mod.Phys.Lett.A 2 (1987) 893
•
DOI:
- 10.1142/S0217732387001130

[8]

Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity

Christian F. Steinwachs
(
- Freiburg U., Inst. Phys. Chem.
)

- Front. Phys., 21 July 2020
•
e-Print:
- 2004.07842
•
DOI:
- 10.3389/fphy.2020.00185

[9]

Ultraviolet stable fixed point and scaling relations in (2+epsilon)-dimensional quantum gravity

Hikaru Kawai
(
- Tokyo U.
)
,
Yoshihisa Kitazawa
(
- Tokyo Inst. Tech.
)
,
Masao Ninomiya
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Nucl.Phys.B 404 (1993) 684-716
•
e-Print:
- hep-th/9303123
•
DOI:
- 10.1016/0550-3213(93)90594-F

[10]

in General Relativity: An Einstein centenary survey, S.W. Hawking, W. Israel (eds.)

S. Weinberg

[11]

in Understanding the Fundamental Constituents of Matter. The Subnuclear Series, vol 14, A. Zichichi (eds.)

S. Weinberg

[12]

Critical reflections on asymptotically safe gravity

Alfio Bonanno
(
- INFN, Catania and
- Catania Astrophys. Observ.
)
,
Astrid Eichhorn
(
- Southern Denmark U., CP3-Origins and
- U. Heidelberg, ITP
)
,
Holger Gies
(
- Helmholtz Inst., Jena and
- Jena U., TPI
)
,
Jan M. Pawlowski
(
- U. Heidelberg, ITP
)
,
Roberto Percacci
(
- SISSA, Trieste and
- INFN, Trieste
)

et al.

- Front.in Phys. 8 (2020) 269
•
e-Print:
- 2004.06810
•
DOI:
- 10.3389/fphy.2020.00269

[13]

The Epsilon expansion of two-dimensional quantum gravity

I. Jack
(
- CERN
)
,
D.R.T. Jones
(
- Liverpool U.
)

- Nucl.Phys.B 358 (1991) 695-712
•
DOI:
- 10.1016/0550-3213(91)90430-6

[14]

Two loop prediction for scaling exponents in (2+epsilon)-dimensional quantum gravity

- Nucl.Phys.B 491 (1997) 427-460
•
e-Print:
- hep-th/9609077
•
DOI:
- 10.1016/S0550-3213(97)00091-6

[15]

Nonperturbative evolution equation for quantum gravity

M. Reuter
(
- DESY
)

- Phys.Rev.D 57 (1998) 971-985
•
e-Print:
- hep-th/9605030
•
DOI:
- 10.1103/PhysRevD.57.971

[16]

Nontrivial ultraviolet fixed point in quantum gravity

Wataru Souma
(
- Kyoto U., FIHS
)

- Prog.Theor.Phys. 102 (1999) 181-195
•
e-Print:
- hep-th/9907027
•
DOI:
- 10.1143/PTP.102.181

[17]

Exact evolution equation for the effective potential

Christof Wetterich
(
- Heidelberg U.
)

- Phys.Lett.B 301 (1993) 90-94
•
e-Print:
- 1710.05815
•
DOI:
- 10.1016/0370-2693(93)90726-X

[18]

Gauge and cutoff function dependence of the ultraviolet fixed point in quantum gravity

Wataru Souma
(
- Kyoto U., HES Grad. Sch.
)

e-Print:
- gr-qc/0006008

[19]

A Critique of the Asymptotic Safety Program

John F. Donoghue
(
- Massachusetts U., Amherst
)

- Front.in Phys. 8 (2020) 56
•
e-Print:
- 1911.02967
•
DOI:
- 10.3389/fphy.2020.00056

[20]

Gauge dependence of the effective average action in Einstein gravity

Sven Falkenberg
(
- Leipzig U.
)
,
Sergei D. Odintsov
(
- Valle U., Cali and
- Sao Paulo U.
)

- Int.J.Mod.Phys.A 13 (1998) 607-623
•
e-Print:
- hep-th/9612019
•
DOI:
- 10.1142/S0217751X98000263

[21]

Asymptotic safety goes on shell

Dario Benedetti
(
- Potsdam, Max Planck Inst.
)

- New J.Phys. 14 (2012) 015005
•
e-Print:
- 1107.3110
•
DOI:
- 10.1088/1367-2630/14/1/015005

[22]

Essential nature of Newton’s constant in unimodular gravity

Dario Benedetti
(
- Orsay, LPT
)

- Gen.Rel.Grav. 48 (2016) 5, 68
•
e-Print:
- 1511.06560
•
DOI:
- 10.1007/s10714-016-2060-3

[23]

The unitary conformal field theory behind 2D Asymptotic Safety

Andreas Nink
(
- U. Mainz, PRISMA and
- Mainz U., Inst. Phys.
)
,
Martin Reuter
(
- U. Mainz, PRISMA and
- Mainz U., Inst. Phys.
)

- JHEP 02 (2016) 167
•
e-Print:
- 1512.06805
•
DOI:
- 10.1007/JHEP02(2016)167

[24]

Physical renormalization schemes and asymptotic safety in quantum gravity

Kevin Falls
(
- U. Heidelberg, ITP
)

- Phys.Rev.D 96 (2017) 12, 126016
•
e-Print:
- 1702.03577
•
DOI:
- 10.1103/PhysRevD.96.126016

[25]

Gravity with more or less gauging

Steffen Gielen
(
- U. Nottingham
)
,
Rodrigo de León Ardón
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Roberto Percacci
(
- SISSA, Trieste and
- INFN, Trieste
)

- Class.Quant.Grav. 35 (2018) 19, 195009
•
e-Print:
- 1805.11626
•
DOI:
- 10.1088/1361-6382/aadbd1

1-25 of 79
1
2
3
4
25 / page