Multidimensional electrostatic energy and classical renormalization

References

[1] Kalnins, E.G., Miller, W. and Pogosyan, G.S. (2002) The Coulomb oscillator relation on ndimensional spheres and hyperboloids. Physics of Atomic Nuclei, 65(6), 10861094.

[2]
ALJaber, S.M. (1998) Hydrogen atom in N dimensions. International Journal of Theoretical Physics, 37(4), 12891298.

[3]
Halberg, A.S. (2001) The central symmetric screened Coulomb potential in N dimensions. Hadronic Journal, 24(5), 519530.

[4]
Brack, M. and Murthy, M.V. (2003) Harmonically trapp ed fermion gases: Exact and asymptotic results in arbitrary dimensions. Journal of Physics A: Mathematical and General, 36(4), 11111133.
Weldon, H.A. (2003) Quantization of higherderivative field theories. Annals of Physics, 305(2), 137150.

[5]
Griffiths, J.B. and Podolsky, J. (2010) The LinetTian solution with a positive cosmological constant in four and higher dimensions. Physical Review D, 81(6), 064015064020.

[6]
Wetterich, C. (2009) Dilation symmetry in higher dimensions and the vanishing of the cosmological constant. Physical Review Letters, 102(14), 141303141306.

[7]
Li, W. and Yang, F. (2003) Ndimensional spacetime unit spheres and Lorentz transformation. Advances in Applied Clifford Algebras, 13(1), 5764.

[8]
Plyukhin, A.V. (2010) Stochastic process leading to wave equations in dimensions higher than one. Physical Review E, 81(2 Pt 1), 021113021117.

[9]
Kajimoto, N., Manaka, T. and Iwamoto, M. (2006) Electrostatic energies stored in dipolar films and analysis of decaying process of a large surface potential of ALq3 films. Chemical Physics Letters, 430(46), 340344.

[10]
Ferreira, G.F. (2000) The electrostatic energy of thin charged straight threads and coils and the work to bend straight threads into coils. Journal of Electrostatics, 49(12), 2330.

[11]
Pask, J.E. and Sterne, A. (2005) Realspace formulation of the electrostatic potential and total energy of solids. Physical Review B, 71(11), 113101113104.

[12]
Ryder, L.H. (1996) Quantum filed theory. Cambridge University Press, Cambridge.

[13]
Perskin, M.E. and Schroeder, D.V. (1995) An introduction to quantum field theory. AddisonWesley, Reading, Massachusetts.

[14]
Alexandre, J. (2005) Concepts of renormalization in phy sics. Science Progress, 88(1), 116.

[15]
Corbò, G. (2010) Renormalization in classical field theory. European Journal of Physics, 31(1), L5L8.

[16]
Tort, A.C. (2010) Another example of classical renormalization in electrostatics. European Journal of Physics, 31(2), L49L50.

[17]
ALJaber, S.M. (1999) Fermi gas in Ddimensional space. International Journal of Theoretical Physics, 38(3), 919923.

[18]
Griffiths, D.J. (1999) Introduction to electrodynamics. AddisonWesley, Reading, Massachusetts.

[19]
Boas, M.L. (2006) Mathematical methods in the physical sciences. John Wiley, New York.

[20]
Connes, A. and Kreimer, D. (1999) Renormalization in quantum field theory and the RiemannHilbert problem. Journal of High Energy Physics, 9, 024.

[21]
Falk, S., H?ubling, R. and Scheck, F. (2010) Renormalization in quantum field theory: An improved rigorous method. Journal of Physics A: Mathematical Theoretical, 43(3), 035401.

[22]
Borsányi, S. and Reinosa, U. (2009) Renormalized nonequilibrium quantum field theory: Scalar fields. Physical Review D, 80(12), 125029125046.