publication . Article . Preprint . Other literature type . 2018

Lorentz Invariance and the Zero-Point Stress-Energy Tensor

Visser, Matt;
Open Access
  • Published: 24 May 2018 Journal: Particles, volume 1, page 10 (eissn: 2571-712X, Copyright policy)
  • Publisher: MDPI AG
Abstract
Comment: V1: 11 pages; V2: 11 pages, 5 references added; V3: 12 pages, 3 references added; V4: 16 pages, 7 references, extra discussion. V5: 18 pages; new sections added on the renormalization group flow of the Pauli sum rules and net zero point energy. V6: 1 reference added. V7: now 24 pages, more discussion, many references added. Closely corresponds to published version
Subjects
free text keywords: General Relativity and Quantum Cosmology, High Energy Physics - Theory, Physics, Einstein tensor, symbols.namesake, symbols, Symmetric tensor, Weyl tensor, Stress–energy tensor, Cauchy stress tensor, Tensor density, Electromagnetic stress–energy tensor, Classical electromagnetism and special relativity, Theoretical physics, Classical mechanics
Related Organizations
22 references, page 1 of 2

[1] Wolfgang Pauli, Pauli Lectures on Physics: Vol 6, Selected Topics in Field Quantization, MIT Press, 1971 (editor C.P. Enz). (Translation of \Feldquantisierung" 1950{1951; see especially page 33 of the English translation.)

[2] M. Visser, \Lorentzian wormholes: From Einstein to Hawking", (AIP Press, now Springer{Verlag, 1995). See especially pages 82{84.

[3] E. K. Akhmedov, \Vacuum energy and relativistic invariance", hep-th/0204048.

[4] G. Ossola and A. Sirlin, \Considerations concerning the contributions of fundamental particles to the vacuum energy density", Eur. Phys. J. C 31 (2003) 165 doi:10.1140/epjc/s2003-01337-7 [hep-ph/0305050]. [OpenAIRE]

[5] H. Culetu, \The zero point energy and gravitation", hep-th/0410133. See especially equations (3.1){(3.2), (3.5){(3.6), and (3.12).

[6] A. Y. Kamenshchik, A. A. Starobinsky, A. Tronconi, G. P. Vacca and G. Venturi, \Vacuum energy, Standard Model physics and the 750 GeV Diphoton Excess at the LHC," arXiv:1604.02371 [hep-ph].

[7] P. D. Mannheim, \Intrinsically quantum-mechanical gravity and the cosmological constant problem", Mod. Phys. Lett. A 26 (2011) 2375 doi:10.1142/S0217732311036875 [arXiv:1005.5108 [hep-th]]. See especially equation (6).

[8] P. D. Mannheim, \Mass generation, the cosmological constant problem, conformal symmetry, and the Higgs boson", arXiv:1610.08907 [hep-ph]. See especially equation (150).

[9] G. L. Alberghi, A. Y. Kamenshchik, A. Tronconi, G. P. Vacca and G. Venturi, \Vacuum energy, cosmological constant and standard model physics," JETP Lett. 88 (2008) 705. doi:10.1134/S002136400823001X [OpenAIRE]

[10] J. F. Koksma and T. Prokopec, \The cosmological constant and Lorentz invariance of the vacuum state", arXiv:1105.6296 [gr-qc].

[11] M. Asorey, P. M. Lavrov, B. J. Ribeiro and I. L. Shapiro, \Vacuum stress-tensor in SSB theories", Phys. Rev. D 85 (2012) 104001 doi:10.1103/PhysRevD.85.104001 [arXiv:1202.4235 [hep-th]]. [OpenAIRE]

[12] Y. A. Golfand and E. P. Likhtman, \Extension of the algebra of Poincare group generators and violation of P invariance", JETP Lett. 13 (1971) 323 [Pisma Zh. Eksp. Teor. Fiz. 13 (1971) 452].

[13] D. V. Volkov and V. P. Akulov, \Possible universal neutrino interaction", JETP Lett. 16 (1972) 438 [Pisma Zh. Eksp. Teor. Fiz. 16 (1972) 621].

[14] D. V. Volkov and V. P. Akulov, \Is the Neutrino a Goldstone particle?", Phys. Lett. 46B (1973) 109. doi:10.1016/0370-2693(73)90490-5 [OpenAIRE]

[15] D. V. Volkov and V. A. Soroka, \Higgs e ect for Goldstone particles with spin 1/2", JETP Lett. 18 (1973) 312 [Pisma Zh. Eksp. Teor. Fiz. 18 (1973) 529].

22 references, page 1 of 2
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