Special Issue on Fundamental Constants in Physics and Their Time VariationNo Access

Vacuum energy and the cosmological constant

Steven D. Bass

Stefan Meyer Institute for Subatomic Physics, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria

E-mail Address: Steven.Bass@assoc.oeaw.ac.at

https://doi.org/10.1142/S0217732315400337Cited by:11 (Source: Crossref)

Abstract

The accelerating expansion of the Universe points to a small positive value for the cosmological constant or vacuum energy density. We discuss recent ideas that the cosmological constant plus Large Hadron Collider (LHC) results might hint at critical phenomena near the Planck scale.

Keywords:

PACS: 11.15.Ex, 95.36.+x, 98.80.Es

References

1. Supernova Search Team Collab. ( A. G. Riess et al.), Astron. J. 116, 1009 (1998). Crossref, Web of Science, Google Scholar
2. Supernova Cosmology Project Collab. ( S. Perlmutter et al.), Astrophys. J. 517, 565 (1999). Crossref, Web of Science, Google Scholar
3. S. Weinberg, Rev. Mod. Phys. 61, 1 (1989). Crossref, Web of Science, ADS, Google Scholar
4. V. Sahni and A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000). Link, Web of Science, ADS, Google Scholar
5. S. M. Carroll, Living Rev. Relativ. 4, 1 (2001). Crossref, ADS, Google Scholar
6. P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003). Crossref, Web of Science, ADS, Google Scholar
7. E. J. Copeland, M. Sami and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006). Link, Web of Science, ADS, Google Scholar
8. N. Straumann, Lect. Notes Phys. 721, 327 (2007). Google Scholar
9. J. A. Frieman, M. S. Turner and D. Huterer, Annu. Rev. Astron. Astrophys. 46, 385 (2008). Crossref, Web of Science, ADS, Google Scholar
10. R. Bean, arXiv:1003.4468. Google Scholar
11. S. D. Bass, J. Phys. G: Nucl. Part. Phys. 38, 043201 (2001). Crossref, Web of Science, Google Scholar
12. J. Lesgourgues, PoS EPS HEP2011, 015 (2011). Google Scholar
13. J. Sola, J. Phys.: Conf. Ser. 453, 012015 (2013). Crossref, ADS, Google Scholar
14. J. Martin, Comptes Rendus Physique 13, 566 (2012). Crossref, Web of Science, ADS, Google Scholar
15. S. D. Bass, Acta Phys. Pol. B 45, 1269 (2014). Crossref, Web of Science, ADS, Google Scholar
16. S. D. Bass, Nucl. Phys. News 24, 10 (2014). Crossref, ADS, Google Scholar
17. (Ed.) P. Ruiz-Lapuente, Dark Energy: Observational and Theoretical Approaches (Cambridge Univ. Press, 2010). Crossref, Google Scholar
18. L. Amendola and S. Tsujukawa, Dark Energy: Theory and Observations (Cambridge Univ. Presss, 2010). Crossref, Google Scholar
19. Planck Collab. (P. A. R. Ade et al.), arXiv:1502.01589. Google Scholar
20. S. J. Brodsky and R. Shrock, Proc. Natl. Acad. Sci. 108, 45 (2011). Crossref, Web of Science, ADS, Google Scholar
21. S. Weinberg, Phys. Rev. Lett. 59, 2607 (1987). Crossref, Web of Science, ADS, Google Scholar
22. S. G. Turyshev, Annu. Rev. Nucl. Part. Sci. 58, 207 (2008). Crossref, Web of Science, ADS, Google Scholar
23. D. J. Kapner et al., Phys. Rev. Lett. 98, 021101 (2007). Crossref, Web of Science, ADS, Google Scholar
24. T. Jenke et al., Phys. Rev. Lett. 112, 151105 (2014). Crossref, Web of Science, ADS, Google Scholar
25. T. Jenke and H. Abele, Phys. Procedia 51, 67 (2014). Crossref, ADS, Google Scholar
26. M. Kramer et al., Science 314, 97 (2006). Crossref, Web of Science, ADS, Google Scholar
27. R. Reyes et al., Nature 464, 256 (2010). Crossref, Web of Science, ADS, Google Scholar
28. H. Fritzsch and J. Sola, arXiv:1502.01411. Google Scholar
29. C. Wetterich, arXiv:1408.0156. Google Scholar
30. H. Fritzsch and J. Sola, Class. Quantum Grav. 29, 215002 (2012). Crossref, Web of Science, ADS, Google Scholar
31. X. Calmet and M. Keller, arXiv:1410.2765. Google Scholar
32. T. Chiba, Prog. Theor. Phys. 126, 993 (2011). Crossref, ADS, Google Scholar
33. S. Blatt et al., Phys. Rev. Lett. 100, 140801 (2008). Crossref, Web of Science, ADS, Google Scholar
34. T. Rosenband et al., Science 319, 1808 (2008). Crossref, Web of Science, ADS, Google Scholar
35. R. M. Godun et al., Phys. Rev. Lett. 113, 210801 (2014). Crossref, Web of Science, ADS, Google Scholar
36. J. Bagdonaite et al., Phys. Rev. Lett. 111, 231101 (2013). Crossref, Web of Science, ADS, Google Scholar
37. J. Bagdonaite, W. Ubachs, M. T. Murphy and J. B. Whitmore, Phys. Rev. Lett. 114, 071301 (2015). Crossref, Web of Science, ADS, Google Scholar
38. Planck Collab. ( P. A. R. Ade et al.), Astron. Astrophys. 571, A16 (2014). Crossref, Web of Science, Google Scholar
39. J. D. Barrow and J. Magieijo, arXiv:1412.3278. Google Scholar
40. P. J. E. Peebles and B. Ratra, Astrophys. J. 325, L17 (1988). Crossref, Web of Science, ADS, Google Scholar
41. C. Wetterich, Nucl. Phys. B 302, 668 (1988). Crossref, Web of Science, ADS, Google Scholar
42. Y. Ayaita et al., arXiv:1407.8414. Google Scholar
43. J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields (McGraw-Hill, 1965). Google Scholar
44. R. L. Jaffe, Phys. Rev. D 72, 021301(R) (2005). Crossref, Web of Science, ADS, Google Scholar
45. S. Reynaud and A. Lambrecht, arXiv:1410.2746. Google Scholar
46. G. Altarelli, Nucl. Phys. B (Proc. Suppl.) 143, 470 (2005). Crossref, Web of Science, ADS, Google Scholar
47. D. G. Caldi and A. Chodos, arXiv:hep-ph/9903416. Google Scholar
48. R. Fardon, A. E. Nelson and N. Weiner, J. Cosmol. Astropart. Phys. 10, 005 (2004). Crossref, Web of Science, ADS, Google Scholar
49. C. Wetterich, Phys. Lett. B 655, 201 (2007). Crossref, Web of Science, ADS, Google Scholar
50. G. Altarelli, arXiv:1111.6421. Google Scholar
51. H. Fritzsch and S. Zhou, Phys. Lett. B 718, 1457 (2013). Crossref, Web of Science, ADS, Google Scholar
52. V. N. Gribov, Nucl. Phys. B 206, 103 (1982). Crossref, Web of Science, ADS, Google Scholar
53. D. J. Gross, I. R. Klebanov, A. V. Matytsin and A. V. Smilga, Nucl. Phys. B 461, 109 (1996). Crossref, Web of Science, ADS, Google Scholar
54. G. ’t Hooft, NATO Adv. Study Inst. Ser. B Phys. 59, 135 (1980). Google Scholar
55. E. Witten, Nucl. Phys. B 188, 513 (1981). Crossref, Web of Science, ADS, Google Scholar
56. J. B. Kogut, Rev. Mod. Phys. 51, 659 (1979). Crossref, Web of Science, ADS, Google Scholar
57. P. Minkowski, Phys. Lett. B 67, 421 (1977). Crossref, Web of Science, ADS, Google Scholar
58. M. Gell-Mann, P. Ramond and R. Slansky, in Supergravity, eds. D. Freedman and P. van Nieuwenhuizen (North-Holland, 1979), pp. 315– 321. Google Scholar
59. T. Yanagida, in Proc. of the Workshop on Unified Theory and Baryon Number in the Universe, eds. O. Sawada and A. Sugamoto (KEK, 1979). Google Scholar
60. R. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 44, 912 (1980). Crossref, Web of Science, ADS, Google Scholar
61. ATLAS Collab. ( G. Aad et al.), Phys. Lett. B 716, 1 (2012). Crossref, Web of Science, ADS, Google Scholar
62. CMS Collab. ( S. Chatrchyan et al.), Phys. Lett. B 716, 30 (2012). Crossref, Web of Science, ADS, Google Scholar
63. G. Altarelli, Phys. Scripta T 158, 014011 (2013). Crossref, Web of Science, ADS, Google Scholar
64. J. H. Hudson et al., Nature 473, 493 (2011). Crossref, Web of Science, ADS, Google Scholar
65. ACME Collab. ( J. Baron et al.), Science 343, 6168 (2014). Google Scholar
66. T. Chupp and M. Ramsey-Musolf, Phys. Rev. C 91, 035502 (2015). Crossref, Web of Science, ADS, Google Scholar
67. V. A. Kostelecky and N. Russell, Rev. Mod. Phys. 83, 11 (2011). Crossref, Web of Science, ADS, Google Scholar
68. M. Shaposhnikov, arXiv:0708.3550. Google Scholar
69. F. Jegerlehner, Acta Phys. Pol. B 45, 1167 (2014). Crossref, Web of Science, ADS, Google Scholar
70. J. Ellis, arXiv:1408.5866. Google Scholar
71. G. Degrassi et al., JHEP 08, 098 (2012). Crossref, Web of Science, ADS, Google Scholar
72. D. Buttazzo et al., JHEP 12, 089 (2013). Crossref, Web of Science, ADS, Google Scholar
73. F. Bezrukov, M. Yu. Kalmykov, B. A. Kniel and M. Shaposhnikov, JHEP 10, 140 (2012). Crossref, Web of Science, ADS, Google Scholar
74. I. Masina, Phys. Rev. D 87, 053001 (2013). Crossref, Web of Science, ADS, Google Scholar
75. G. F. Giudice, PoS EPS HEP2013, 163 (2013). Google Scholar
76. F. Jegerlehner, Helv. Phys. Acta 51, 783 (1978). Google Scholar
77. F. Jegerlehner, arXiv:hep-th/9803021. Google Scholar
78. F. Jegerlehner, Acta Phys. Pol. B 45, 1215 (2014). Crossref, Web of Science, ADS, Google Scholar
79. F. Jegerlehner, arXiv:1503.00809. Google Scholar
80. D. Lyth, Phys. Rev. Lett. 78, 1861 (1997). Crossref, Web of Science, ADS, Google Scholar
81. S. Weinberg, arXiv:0903.0568. Google Scholar
82. J. D. Bjorken, Ann. Phys. 24, 174 (1963). Crossref, Web of Science, ADS, Google Scholar
83. J. Bjorken, arXiv:hep-th/0111196. Google Scholar
84. J. D. Bjorken, arXiv:1008.0033. Google Scholar
85. G. ’t Hooft, AIP Conf. Proc. 957, 154 (2007). Google Scholar
86. S. Chadha and H. B. Nielsen, Nucl. Phys. B 217, 125 (1983). Crossref, Web of Science, ADS, Google Scholar
87. M. Levin and X.-G. Wen, Rev. Mod. Phys. 77, 871 (2005). Crossref, Web of Science, ADS, Google Scholar
88. H. Fritzsch, Nucl. Phys. B 155, 189 (1979). Crossref, Web of Science, ADS, Google Scholar
89. H. Fritzsch, Int. J. Mod. Phys. A 29, 1444017 (2014). Link, Web of Science, ADS, Google Scholar
90. G. E. Volovik, The Universe in a Helium Droplet (Oxford Univ. Press, 2003). Google Scholar
91. S. Weinberg, Critical phenomena for field theorists, in Understanding the Fundamental Constituents of Matter, ed. A. Zichichi (Plenum Press, 1977). Google Scholar
92. L. R. W. Abramo, R. H. Brandenberger and V. F. Mukhanov, Phys. Rev. D 56, 3248 (1997). Crossref, Web of Science, ADS, Google Scholar
93. A. M. Polyakov, Nucl. Phys. B 834, 316 (2010). Crossref, Web of Science, ADS, Google Scholar
94. B. F. L. Ward, Phys. Dark Univ. 2, 97 (2013). Crossref, Web of Science, ADS, Google Scholar
95. B. F. L. Ward, arXiv:1412.7417. Google Scholar
96. J. Ambjorn, J. Jurkiewicz and R. Loll, Phys. Rev. Lett. 93, 131301 (2004). Crossref, Web of Science, ADS, Google Scholar
97. L. McLerran, R. Pisarski and V. Skokov, Phys. Lett. B 713, 301 (2012). Crossref, Web of Science, ADS, Google Scholar