Einstein-Weyl Gravity from a Topological SL(5, ℝ) Gauge Invariant Action

Advances in Applied Clifford Algebras

Volumn 22, Issue 3, 2012, Pages 803-817

  Mielke, Eckehard W ^a  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

BF scheme; spontaneous symmetry breaking; Topological gravity

Indexed keywords

EID: 84865823990     PISSN: 01887009     EISSN: 16614909     Source Type: Journal    
DOI: 10.1007/s00006-012-0362-4     Document Type: Article

References (61)

1. C. H. Brans, Absolute Space-Time: The Twentieth Century Ether. Gen. Rel. Grav. 31 (1999), 597-607.
2. J. D. Bjorken, Emergent Photons and Gravitons: The Problem of Vacuum Structure. arXiv:1008.0033 [hep-ph].
3. C. Castro, Anti-de Sitter Gravity from BF-Chern-Simons-Higgs Theories. Mod. Phys. Lett. A 17 (2002), 2095-2103.
4. A. H. Chamseddine, Massive Supergravity from Spontaneously Breaking Or-thosymplectic Gauge Symmetry. Annals Phys. 113 (1978), 219-234.
5. Y. Chen and E. Teo, A New AF Gravitational Instanton. Phys. Lett. B 703 (2011), 359-362.
6. C. Constantinidis, O. Piguet, F. Gieres, and M. S. Sarandy, On the Symmetries of BF Models and Their Relation with Gravity. JHEP 01 (2002) 017, 1-24.
7. A. S. Eddington, The Mathematical Theory of Relativity. 2nd Edition, Cam-bridge University Press, Cambridge, 1924.
8. F. Englert, E. Gunzig, C. Truffin, and P. Windey, Conformal Invariant General Relativity with Dynamical Symmetry Breakdown. Phys. Lett. B57 (1975), 73-77.
9. E. S. Fradkin and A. A. Tseytlin, Renormalizable Asymptotically Free Quantum Theory of Gravity. Nucl. Phys. B 201 (1982), 469-491.
10. J. Frieman, M. Turner, and D. Huterer, Dark Energy and the Accelerating Universe. Ann. Rev. Astron. Astrophys. 46 (2008), 385-432.
11. A. S. Goldhaber and M. M. Nieto, Photon and Graviton Mass Limits. Rev. Mod. Phys. 82 (2010), 939-979.
12. F. W. Hehl, J. D. McCrea, E. W. Mielke, and Y. Ne'eman, Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance. Phys. Rep. 258 (1995), 1-171.
13. P. W. Higgs, Quadratic Lagrangians and General Relativity. Nuovo Cimento 11 (1959), 816-820.
14. P. Higgs, Prehistory of the Higgs Boson. Comptes Rendus Physique 8 (2007), 970-972.
15. G. T. Horowitz, Exactly Soluble Diffeomorphism Invariant Theories. Commun. Math. Phys. 125 (1989), 417-437.
16. D. I. Kaiser, When Fields Collide. Scientific American 296, No. 6 (2007), 62-69.
17. A. B. Kaganovich, Some Properties of Gravity Induced by Dynamical Symmetry Breaking. Phys. Lett. B222 (1989), 364-367.
18. S. Kobayashi, Transformation Groups in Differential Geometry. Springer, New York, 1972.
19. V. V. Kiselev and S. A. Timofeev, Renormalization-Group Analysis of the Cos-mological Constraint on the Higgs Scalar Mass. Phys. Atomic Nuclei 74 (2011), 778-782
20. M. Kramer and N. Wex, The Double Pulsar System: A Unique Laboratory for Gravity. Class. Quantum Grav. 26 (2009) 073001, 1-20.
21. D. Kreimer, A Remark on Quantum Gravity. Annals of Physics 323 (2008), 49-60.
22. C. Lucchesi, O. Piguet and S. P. Sorella, Renormalization and Finiteness of Topological BF Theories. Nucl. Phys. B 395 (1993), 325-353.
23. S. W. MacDowell and F. Mansouri, Unified Geometric Theory of Gravity and Supergravity. Phys. Rev. Lett. 38 (1977), 739-742
24. J. G. McCarthy and H. R. Pagels, General Relativity as the Surface Action of a Five-Dimensional Gauge Theory. Nucl. Phys. B 266 (1986), 687-708.
25. E. W. Mielke, Knot Wormholes in Geometrodynamics? Gen. Rel. Grav. 8 (1977), 175-196.
26. E. W. Mielke, On Pseudoparticle Solutions in Yang's Theory of Gravity. Gen. Rel. Grav. 13 (1981), 175-187.
27. E. W. Mielke, Geometrodynamics of Gauge Fields -On the Geometry of Yang-Mills and Gravitational Gauge Theories. Akademie-Verlag, Berlin, 1987.
28. E. W. Mielke, Beautiful Gauge Field Equations in Clifforms. Int. J. Theor. Phys. 40 (2001), 171-189. (Proceedings of the Ixtapa Conference on Clifford Algebra, June 27-July 4, 1999).
29. E. W. Mielke, Anomalies and Gravity. In Particles and Fields, Commemorative Volume of the Division of Particles and Fields of the Mexican Phys. Soc., Morelia Michoacán, 6-12 Nov. 2005, Part B., M. A. Pérez, L. F. Urrutia, and L. Villaseñor, Eds., AIP Conference Proc., Melville N.Y. 2006, Vol. 857, 246-257.
30. E. W. Mielke, Einsteinian Gravity from BRST Quantization of a Topological Action. Phys. Rev. D 77 (2008) 084020, 1-12.
31. E. W. Mielke, Topologically Modified Teleparallelism, Passing through the Nieh-Yan Functional. Phys. Rev. D 80 (2009) 067502, 1-4.
32. E. W. Mielke, Einsteinian Gravity from a Spontaneously Broken Topological BF theory. Phys. Letters B 688 (2010), 273-277.
33. E. W. Mielke, Spontaneously Broken Topological SL(5, R) Gauge Theory with Standard Gravity Emerging. Phys. Rev. D83 (2011) 044004, 1-9.
34. E. W. Mielke, Weak Equivalence Principle from a Spontaneously Broken Gauge Theory of Gravity. Phys. Letters B 702 (2011), 187-190.
35. E. W. Mielke and A. A. Rincón Maggiolo, Duality in Yang's Theory of Gravity. Gen. Rel. Grav. 37 (2005), 997-1007.
36. P. Minkowski, On the Spontaneous Origin of Newton's Constant. Phys. Lett. B 71 (1977), 419-421.
37. Y. Ne'eman, Cosmology, Einstein's 'Mach Principle' and the Higgs Fields. Int. J. Mod. Phys. A21 (2006), 2773-2779.
38. M. Niedermaier, Gravitational Fixed Points and Asymptotic Safety from Per-turbation Theory. Nucl. Phys. B 833 (2010), 226-270.
39. Niedermaier and M. Reuter, The Asymptotic Safety Scenario in Quantum Gravity. Living Rev. Rel. 9 (2006), 5-173;.
40. E. Manrique, S. Rechenberger and F. Saueressig, Asymptotically Safe Lorentzian Gravity. Phys. Rev. Lett. 106 (2011)251302, 1-4.
41. H. T. Nieh, A Spontaneously Broken Conformal Gauge Theory of Gravitation. Phys. Lett. A 88 (1982), 388-390.
42. H. T. Nieh, A Torsional Topological Invariant. Int. J. Mod. Phys. A 22 (2007), 5237-5244.
43. J. Overduin, F. Everitt, J. Mester, and P. Worden, The Science Case for STEP. Adv. Space Res. 43 (2009), 1532-1537.
44. Z. Oziewicz, In Memoriam Jaime Keller (1936-2011). Adv. Appl. Clifford Al-gebras 21 (2011), 1-11.
45. H. R. Pagels, Gravitational Gauge Fields and the Cosmological Constant. Phys. Rev. D 29 (1984), 1690-1698.
46. J. Plebanski, On the Separation of Einsteinian Substructures. J. Math. Phys. 18 (1977), 2511-2520.
47. R. Reyes, R. Mandelbaum, U. Seljak, T. Baldauf, J. E. Gunn, L. Lombriser, and R. E. Smith, Confirmation of General Relativity on Large Scales from Weak Lensing and Galaxy Velocities. Nature 464 (2010), 256-258.
48. J. Schwinger, Non-Abelian Gauge Fields. Commutation Relations. Phys. Rev. 125 (1962), 1043-1048.
49. N. Sieroka, Geometrization Versus Transcendent Matter: A Systematic Histo-riography of Theories of Matter Following Weyl. British Journal for the Phi-losophy of Science 61 (2010), 769-802.
50. L. Smolin, A Holographic Formulation of Quantum General Relativity. Phys. Rev. D 61 (2000) 084007, 1-13.
51. R. F. Sobreiro, A. A. Tomaz, V. J. V. Otoya, De Sitter Gauge Theories and Induced Gravities. Eur. Phys. J. C (2012) 72:1991, 1-8.
52. M. Sué, Involutive Systems of Differential Equations: Einsteins Strength Versus Cartan's Degré d'arbitraire. J. Math. Phys. 32 (1991), 392-400.
53. M. Sué and E. W. Mielke, Strength of the Poincaré Gauge Field Equations in First Order Formalism. Phys. Lett. A139 (1989), 21-26.
54. G.'t Hooft, Renormalization and Gauge Invariance. Prog. Theor. Phys. Suppl. 170 (2007), 56-71.
55. M. J. G. Veltman, Nobel Lecture: From Weak Interactions to Gravitation. Rev. Mod. Phys. 72 (2000), 341-349.
56. S. Weinberg, Einstein's Mistakes. Phys. Today 58 No. 11 (2005), 31-35.
57. H. Weyl, Gravitation and the Electron. Proc. Nat. Acad. Sci. (Washington) 15 (1929), 323-334.
58. H. Weyl, Geometrie und Physik. Naturwissenschaften 19 (1931), 49-58.
59. F. Wilczek, Riemann-Einstein Structure from Volume and Gauge Symmetry. Phys. Rev. Lett. 80 (1998), 4851-4854.
60. D. K. Wise, MacDowell-Mansouri Gravity and Cartan Geometry. Class. Quant. Grav. 27 (2010) 155010, 1-26.
61. A. Zee, The Graviton and the Nature of Dark Energy. Mod. Phys. Lett. A19 (2004), 983-992.