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Is cosmological constant screened in Liouville gravity with matter?

Inami, Takeo and Koyama, Yoji and Nakayama, Yu and Suzuki, Mariko (2015) Is cosmological constant screened in Liouville gravity with matter? Progress of Theoretical and Experimental Physics, 2015 (5). Art. No. 053B05. ISSN 2050-3911. doi:10.1093/ptep/ptv062.

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There has been a proposal that infrared quantum effects of massless interacting field theories in de Sitter space may provide time-dependent screening of the cosmological constant. As a concrete model of the proposal, we study the three loop corrections to the energy–momentum tensor of massless λϕ^4 theory in the background of classical Liouville gravity in D=2 dimensional de Sitter space. We find that the cosmological constant is screened, in sharp contrast to the massless λϕ^4 theory in D=4 dimensions due to the sign difference between the cosmological constant of the Liouville gravity and that of the Einstein gravity. To argue for the robustness of our prediction, we introduce the concept of time-dependent infrared counter-terms and examine if they recover the de Sitter invariance in the λϕ^4 theory in comparison with the Sine–Gordon model, where it was possible.

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Additional Information:© The Author(s) 2015. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. Funded by SCOAP3. Received December 24, 2014; Accepted March 30, 2015; Published May 1, 2015. We are grateful to Chong-Sun Chu, Tohru Eguchi, Kazuyuki Furuuchi, Hiroshi Isono, Katsushi Ito, Hiroyuki Kitamoto, Yutaka Matsuo, Yuji Tachikawa, and Yuko Urakawa for valuable discussions.We are most thankful to Hiroyuki Kitamoto for pointing out a computational error in Sect. 5 in the original version of this paper. Correcting the error helped us to improve our understanding of the dS breaking IR effects. This work is supported in part by scientific grants from the Ministry of Education, Culture, Sports, Science and Technology under Grant Nos. 21244036 and 20012487 (T. Inami); National Science Council under Grant No. NSC-101-2112-M-007-021 and the Taiwan String Theory Focus Group of NCTS under Grant No. NSC-103-2119-M-002-001 (Y. Koyama); and the Sherman Fairchild Senior Research Fellowship at California Institute of Technology and DOE grant number de-sc0011632 (Y. Nakayama).
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Ministry of Education, Culture, Sports, Science and Technology (MEXT)21244036
Ministry of Education, Culture, Sports, Science and Technology (MEXT)20012487
National Science Council (Taipei)NSC-101-2112-M-007-021
National Science Council (Taipei)NSC-103-2119- M-002-001
Department of Energy (DOE)DE-SC0011632
Sherman Fairchild FoundationUNSPECIFIED
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Issue or Number:5
Record Number:CaltechAUTHORS:20141216-213815640
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Official Citation: Takeo Inami, Yoji Koyama, Yu Nakayama, and Mariko Suzuki Is the cosmological constant screened in Liouville gravity with matter? Prog. Theor. Exp. Phys. (2015) 2015 (5): 053B05 doi:10.1093/ptep/ptv062 First published online May 19, 2015 (22 pages)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:52928
Deposited By: Joy Painter
Deposited On:17 Dec 2014 17:12
Last Modified:10 Nov 2021 19:45

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