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
doi: 10.3390/particles1010010
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
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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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