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Perturbatively renormalizable quantum gravity

Tim R. Morris
(
- Southampton U.
)

Apr 11, 2018

5 pages

Published in:

Int.J.Mod.Phys.D 27 (2018) 14, 1847003

Published: Jul 5, 2018

e-Print:

1804.03834 [hep-th]

DOI:

10.1142/S021827181847003X (publication)

View in:

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Abstract: (WSP)

The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties. In particular, around the Gaussian fixed point, it supports a Hilbert space of renormalizable interactions involving arbitrarily high powers of the gravitational fluctuations. These interactions are characterized by being exponentially suppressed for large field amplitude, perturbative in Newton’s constant but nonperturbative in Planck’s constant. By taking a limit to the boundary of the Hilbert space, diffeomorphism invariance is recovered whilst retaining renormalizability. Thus the so-called conformal factor instability points the way to constructing a perturbatively renormalizable theory of quantum gravity.

Note:

5 pages; Received Honourable mention in Gravity Research Foundation essay competition-2018

05.10.Cc
11.10.Gh
04.60.−m
Quantum gravity
Wilsonian renormalization group
quantum gravity: renormalizable
diffeomorphism: invariance
gravitation: fluctuation
gravitation: fundamental constant
fundamental constant: Planck

References(11)

Figures(0)

[1]

One loop divergencies in the theory of gravitation

- Ann.Inst.H.Poincare Phys.Theor.A 20 (1974) 69-94

[1]

QUANTUM GRAVITY AT TWO LOOPS

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

- Phys.Lett.B 160 (1985) 81-86
•
DOI:
- 10.1016/0370-2693(85)91470-4

[2]

The Renormalization group and the epsilon expansion

- Phys.Rept. 12 (1974) 75-199
•
DOI:
- 10.1016/0370-1573(74)90023-4

[3]

Scaling laws for Ising models near T(c)

L.P. Kadanoff
(
- Illinois U., Urbana
)

- Physics Physique Fizika 2 (1966) 263-272
•
DOI:
- 10.1103/PhysicsPhysiqueFizika.2.263

[4]

Path Integrals and the Indefiniteness of the Gravitational Action

G.W. Gibbons
(
- Munich, Max Planck Inst. and
- Cambridge U.
)
,
S.W. Hawking
(
- Cambridge U.
)
,
M.J. Perry
(
- Cambridge U.
)

- Nucl.Phys.B 138 (1978) 141-150
•
DOI:
- 10.1016/0550-3213(78)90161-X

[5]

On the fixed point structure of scalar fields

Tim R. Morris
(
- Southampton U.
)

- Phys.Rev.Lett. 77 (1996) 1658
•
e-Print:
- hep-th/9601128
•
DOI:
- 10.1103/PhysRevLett.77.1658

[5]

Fate of nonpolynomial interactions in scalar field theory

I. Hamzaan Bridle
(
- Southampton U.
)
,
Tim R. Morris
(
- Southampton U.
)

- Phys.Rev.D 94 (2016) 065040
•
e-Print:
- 1605.06075
•
DOI:
- 10.1103/PhysRevD.94.065040

[6]

Fixed point structure of the conformal factor field in quantum gravity

- Phys.Rev.D 94 (2016) 12, 124014
•
e-Print:
- 1605.07636
•
DOI:
- 10.1103/PhysRevD.94.124014

[7]

Renormalization group properties in the conformal sector: towards perturbatively renormalizable quantum gravity

Tim R. Morris
(
- Southampton U.
)

- JHEP 08 (2018) 024
•
e-Print:
- 1802.04281
•
DOI:
- 10.1007/JHEP08(2018)024

[8]

Renormalization group properties of the conformal mode of a torus

Matthew P. Kellett
(
- Southampton U.
)
,
Tim R. Morris
(
- Southampton U.
)

- Class.Quant.Grav. 35 (2018) 17, 175002
•
e-Print:
- 1803.00859
•
DOI:
- 10.1088/1361-6382/aad06e

[9]

Quantum gravity, renormalizability, and diffeomorphism invariance

Morris
,
Tim