Fluid Membranes and 2d Quantum Gravity - INSPIRE

DataBETA

Fluid Membranes and 2d Quantum Gravity

Alessandro Codello
(
- SISSA, Trieste
)
,
Omar Zanusso
(
- Mainz U.
)

Mar, 2011

16 pages

Published in:

Phys.Rev.D 83 (2011) 125021

e-Print:

1103.1089 [hep-th]

DOI:

10.1103/PhysRevD.83.125021

Report number:

MZ-TH-11-04

View in:

ADS Abstract Service

reference search24 citations

Citations per year

Abstract: (arXiv)

We study the RG flow of two dimensional (fluid) membranes embedded in Euclidean D-dimensional space using functional RG methods based on the effective average action. By considering a truncation ansatz for the effective average action with both extrinsic and intrinsic curvature terms we derive a system of beta functions for the running surface tension, bending rigidity and Gaussian rigidity. We look for non-trivial fixed points but we find no evidence for a crumpling transition at

T\neq0

. Finally, we propose to identify the

D\rightarrow 0

limit of the theory with two dimensional quantum gravity. In this limit we derive new beta functions for both cosmological and Newton's constants.

Note:

16 pages, 1 figure

11.10.Hi
11.10.Gh
dimension: 2
renormalization group: flow
quantum gravity
membrane
fluid
crumpling

References(18)

Figures(1)

Fine Structure of Strings

Alexander M. Polyakov
(
- Moscow, ITEP
)

- Nucl.Phys.B 268 (1986) 406-412
•
DOI:
- 10.1016/0550-3213(86)90162-8

Nonperturbative renormalization flow in quantum field theory and statistical physics

Juergen Berges
(
- MIT, LNS
)
,
Nikolaos Tetradis
(
- Pisa, Scuola Normale Superiore and
- Athens U.
)
,
Christof Wetterich
(
- Heidelberg U.
)

- Phys.Rept. 363 (2002) 223-386
•
e-Print:
- hep-ph/0005122
•
DOI:
- 10.1016/S0370-1573(01)00098-9

e-Print:
- 0811.0884

e-Print:
- 1011.6173

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

The Membrane Properties of Condensing Strings

H. Kleinert
(
- UC, San Diego
)

- Phys.Lett.B 174 (1986) 335-338,
- Phys. Lett. B174 ( 1986) 335-338
•
DOI:
- 10.1016/0370-2693(86)91111-1

Geometry of deformations of relativistic membranes

Riccardo Capovilla
(
- CINVESTAV, IPN
)
,
Jemal Guven
(
- Mexico U., ICN
)

- Phys.Rev.D 51 (1995) 6736-6743
•
e-Print:
- gr-qc/9411060
•
DOI:
- 10.1103/PhysRevD.51.6736

Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation

Alessandro Codello
(
- Mainz U., Inst. Phys.
)
,
Roberto Percacci
(
- Utrecht U. and
- SISSA, Trieste and
- INFN, Trieste
)
,
Christoph Rahmede
(
- SISSA, Trieste and
- INFN, Trieste
)

- Annals Phys. 324 (2009) 414-469
•
e-Print:
- 0805.2909
•
DOI:
- 10.1016/j.aop.2008.08.008

The Universal RG Machine

Dario Benedetti
(
- Potsdam, Max Planck Inst.
)
,
Kai Groh
(
- Mainz U., Inst. Phys.
)
,
Pedro F. Machado
(
- Cambridge U.
)
,
Frank Saueressig
(
- Mainz U., Inst. Phys.
)

- JHEP 06 (2011) 079
•
e-Print:
- 1012.3081
•
DOI:
- 10.1007/JHEP06(2011)079

Improved Schwinger-DeWitt techniques for higher-derivative corrections to operator determinants

Damiano Anselmi
(
- Pisa U. and
- INFN, Pisa
)
,
Anna Benini
(
- Toronto U., Math. Dept.
)

- JHEP 10 (2007) 099
•
e-Print:
- 0704.2840
•
DOI:
- 10.1088/1126-6708/2007/10/099

Quantum Geometry of Bosonic Strings

Alexander M. Polyakov
(
- Landau Inst.
)

- Phys.Lett.B 103 (1981) 207-210,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 287-290,
•
DOI:
- 10.1016/0370-2693(81)90743-7

The Quantum Equivalence of Nambu and Polyakov String Actions

T.R. Morris
(
- Fermilab and
- Southampton U.
)

- Nucl.Phys.B 341 (1990) 443-463
•
DOI:
- 10.1016/0550-3213(90)90188-J

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

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

Polyakov Effective Action from Functional Renormalization Group Equation

Alessandro Codello
(
- Mainz U., Inst. Phys.
)

- Annals Phys. 325 (2010) 1727-1738
•
e-Print:
- 1004.2171
•
DOI:
- 10.1016/j.aop.2010.04.013

The Statistical mechanics of membranes

Mark J. Bowick
(
- Syracuse U.
)
,
Alex Travesset
(
- Syracuse U.
)

- Phys.Rept. 344 (2001) 255-308
•
e-Print:
- cond-mat/0002038
•
DOI:
- 10.1016/S0370-1573(00)00128-9

Asymptotic Safety

Roberto Percacci
(
- SISSA, Trieste and
- INFN, Trieste
)

- In *Oriti, D. (ed.): Approaches to quantum gravity* 111-128
•
e-Print:
- 0709.3851

Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety

- Annals Phys. 325 (2010) 785-815
•
e-Print:
- 0907.2617
•
DOI:
- 10.1016/j.aop.2009.11.009