Super-renormalizable or finite completion of the Starobinsky theory

被引：56

作者：

Briscese, Fabio ^{[1
,2
]}

Modesto, Leonardo ^{[3
,4
]}

Tsujikawa, Shinji ^{[5
]}

机构：

[1] Ist Nazl Alta Matemat Francesco Severi, Grp Nazl Fis Matemat, I-00185 Rome, Italy

[2] Univ Roma La Sapienza, Sez Matemat, Dipartimento SBAI, I-00161 Rome, Italy

[3] Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China

[4] Fudan Univ, Ctr Field Theory & Particle Phys, Shanghai 200433, Peoples R China

[5] Tokyo Univ Sci, Fac Sci, Dept Phys, Shinjuku Ku, Tokyo 1628601, Japan

来源：

PHYSICAL REVIEW D | 2014年 / 89卷 / 02期

关键词：

INFLATIONARY UNIVERSE SCENARIO; HIGHER-DERIVATIVE SUPERGRAVITY; BARYON ACOUSTIC-OSCILLATIONS; PROBE WMAP OBSERVATIONS; PHASE-TRANSITION; DENSITY PERTURBATIONS; ASYMPTOTIC SAFETY; CHAOTIC INFLATION; GRAVITY; COSMOLOGY;

D O I：

10.1103/PhysRevD.89.024029

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The recent Planck data of cosmic microwave background temperature anisotropies support the Starobinsky theory in which the quadratic Ricci scalar drives cosmic inflation. We build up a multidimensional quantum consisted ultraviolet completion of the model in a phenomenological "bottom-up approach." We present the maximal class of theories compatible with unitarity and (super-)renormalizability or finiteness which reduces to the Starobinsky theory in the low-energy limit. The outcome is a maximal extension of the Krasnikov-Tomboulis-Modesto theory including an extra scalar degree of freedom besides the graviton field. The original theory was afterwards independently discovered by Biswas-Gerwick-Koivisto-Mazumdar starting from first principles. We explicitly show power counting super-renormalizability or finiteness (in odd dimensions) and unitarity (no ghosts) of the theory. Any further extension of the theory is nonunitary, confirming the existence of at most one single extra degree of freedom, the scalaron. A mechanism to achieve the Starobinsky theory in string (field) theory is also investigated at the end of the paper.

引用

页数：13

共 120 条

[1] Propagator, tree-level unitarity and effective nonrelativistic potential for higher-derivative gravity theories in D dimensions [J].

Accioly, A ;

Azeredo, A ;

Mukai, H .

JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (01) :473-491

[2] Planck 2013 results. XXIV. Constraints on primordial non-Gaussianity [J].

Ade, P. A. R. ;

Aghanim, N. ;

Armitage-Caplan, C. ;

Arnaud, M. ;

Ashdown, M. ;

Atrio-Barandela, F. ;

Aumont, J. ;

Baccigalupi, C. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartlett, J. G. ;

Bartolo, N. ;

Battaner, E. ;

Benabed, K. ;

Benoit, A. ;

Benoit-Levy, A. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bobin, J. ;

Bock, J. J. ;

Bonaldi, A. ;

Bonavera, L. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Bridges, M. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Cardoso, J. -F. ;

Catalano, A. ;

Challinor, A. ;

Chamballu, A. ;

Chiang, H. C. ;

Chiang, L. -Y ;

Christensen, P. R. ;

Church, S. ;

Clements, D. L. ;

Colombi, S. ;

Colombo, L. P. L. ;

Couchot, F. ;

Coulais, A. ;

Crill, B. P. ;

Curto, A. ;

Cuttaia, F. ;

Danese, L. ;

Davies, R. D. ;

Davis, R. J. ;

de Bernardis, P. .

ASTRONOMY & ASTROPHYSICS, 2014, 571

[3] Planck 2013 results. XXII. Constraints on inflation [J].

Ade, P. A. R. ;

Aghanim, N. ;

Armitage-Caplan, C. ;

Arnaud, M. ;

Ashdown, M. ;

Atrio-Barandela, F. ;

Aumont, J. ;

Baccigalupi, C. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartlett, J. G. ;

Bartolo, N. ;

Battaner, E. ;

Benabed, K. ;

Benoit, A. ;

Benoit-Levy, A. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bobin, J. ;

Bock, J. J. ;

Bonaldi, A. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Bridges, M. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cardoso, J. -F. ;

Catalano, A. ;

Challinor, A. ;

Chamballu, A. ;

Chiang, H. C. ;

Chiang, L. -Y. ;

Christensen, P. R. ;

Church, S. ;

Clements, D. L. ;

Colombi, S. ;

Colombo, L. P. L. ;

Couchot, F. ;

Coulais, A. ;

Crill, B. P. ;

Curto, A. ;

Cuttaia, F. ;

Danese, L. ;

Davies, R. D. ;

Davis, R. J. ;

de Bernardis, P. .

ASTRONOMY & ASTROPHYSICS, 2014, 571

[4] Planck 2013 results. XVI. Cosmological parameters [J].

Ade, P. A. R. ;

Aghanim, N. ;

Armitage-Caplan, C. ;

Arnaud, M. ;

Ashdown, M. ;

Atrio-Barandela, F. ;

Aumont, J. ;

Baccigalupi, C. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartlett, J. G. ;

Battaner, E. ;

Benabed, K. ;

Benoit, A. ;

Benoit-Levy, A. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bobin, J. ;

Bock, J. J. ;

Bonaldi, A. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Bridges, M. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cappellini, B. ;

Cardoso, J. -F. ;

Catalano, A. ;

Challinor, A. ;

Chamballu, A. ;

Chary, R. -R. ;

Chen, X. ;

Chiang, H. C. ;

Chiang, L. -Y ;

Christensen, P. R. ;

Church, S. ;

Clements, D. L. ;

Colombi, S. ;

Colombo, L. P. L. ;

Couchot, F. ;

Coulais, A. ;

Crill, B. P. ;

Curto, A. ;

Cuttaia, F. ;

Danese, L. ;

Davies, R. D. .

ASTRONOMY & ASTROPHYSICS, 2014, 571

[5] COSMOLOGY FOR GRAND UNIFIED THEORIES WITH RADIATIVELY INDUCED SYMMETRY-BREAKING [J].

ALBRECHT, A ;

STEINHARDT, PJ .

PHYSICAL REVIEW LETTERS, 1982, 48 (17) :1220-1223

[6] PROOF OF UNITARITY OF S-MATRIX IN A NONLOCAL QUANTUM FIELD-THEORY [J].

ALEBASTROV, VA ;

EFIMOV, GV .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1973, 31 (01) :1-24

[7] CAUSALITY IN QUANTUM FIELD-THEORY WITH NONLOCAL INTERACTION [J].

ALEBASTROV, VA ;

EFIMOV, GV .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 38 (01) :11-28

[8] Hidden quantum groups symmetry of super-renormalizable gravity [J].

Alexander, Stephon ;

Marciano, Antonino ;

Modesto, Leonardo .

PHYSICAL REVIEW D, 2012, 85 (12)

[9] The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the Data Release 9 spectroscopic galaxy sample [J].

Anderson, Lauren ;

Aubourg, Eric ;

Bailey, Stephen ;

Bizyaev, Dmitry ;

Blanton, Michael ;

Bolton, Adam S. ;

Brinkmann, J. ;

Brownstein, Joel R. ;

Burden, Angela ;

Cuesta, Antonio J. ;

da Costa, Luiz A. N. ;

Dawson, Kyle S. ;

de Putter, Roland ;

Eisenstein, Daniel J. ;

Gunn, James E. ;

Guo, Hong ;

Hamilton, Jean-Christophe ;

Harding, Paul ;

Ho, Shirley ;

Honscheid, Klaus ;

Kazin, Eyal ;

Kirkby, David ;

Kneib, Jean-Paul ;

Labatie, Antoine ;

Loomis, Craig ;

Lupton, Robert H. ;

Malanushenko, Elena ;

Malanushenko, Viktor ;

Mandelbaum, Rachel ;

Manera, Marc ;

Maraston, Claudia ;

McBride, Cameron K. ;

Mehta, Kushal T. ;

Mena, Olga ;

Montesano, Francesco ;

Muna, Demetri ;

Nichol, Robert C. ;

Nuza, Sebastian E. ;

Olmstead, Matthew D. ;

Oravetz, Daniel ;

Padmanabhan, Nikhil ;

Palanque-Delabrouille, Nathalie ;

Pan, Kaike ;

Parejko, John ;

Paris, Isabelle ;

Percival, Will J. ;

Petitjean, Patrick ;

Prada, Francisco ;

Reid, Beth ;

Roe, Natalie A. .

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2012, 427 (04) :3435-3467

[10]

[Anonymous], ARXIV07093851

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