Quantization of the Scalar, Electromagnetic and Dirac Fields in Gravity and the Theory of the Gravitational Gauge Field

M. Khoshsima^1,

¹Department of Physics, Adelphi University, New York, USA

Cite this paper:
M. Khoshsima. Quantization of the Scalar, Electromagnetic and Dirac Fields in Gravity and the Theory of the Gravitational Gauge Field. International Journal of Physics. 2016; 4(5):135-139. doi: 10.12691/ijp-4-5-4

Abstract

Real scalar field, EM field and Dirac field can be quantized in gravity. The equation of motion in each field will contain a “gravitational” covariant derivative that will produce new energy-momentum dispersion relation. The dispersion relation in each case preserves the old energy accompanied with a perturbed term. The mathematics of the field quantization will remain unchanged with additional energy perturbation due to interaction with spacetime curvature. The correction of Dirac Lagrangian due to gravitational covariant derivative will lead to the probable existence of the gravitational gauge field, an analog to the EM gauge field.

Keywords:
Lagrangian with gravitational covariant derivative Equation of Motion Energy-momentum dispersion relation Perturbation in energy gravitational symmetry Gravitational gauge field

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]	M. Schwartz, “Quantum Field Theory and the Standard Model” Cambridge University Press, 4th Printing 2015.
[2]	S. Hawking, “A Brief History of Time,” New York: Bantam Books, 1988.
[3]	R.L. Faber, “Differential Geometry and Relativity Theory,” An Introduction. New York: Marcel Dekker, Inc., 1983.
[4]	T. Marsh, “General Relativity,” class notes, 2009.
[5]	“S. Chandrasekhar, “The Mathematical Theory of Black Holes”. Clarendon Press (1983).
[6]	C.W. Misner, K.S. Thorne, and J.A. Wheeler, “Gravitation”. Freeman (1973).
[7]	S. Weinberg, “Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity”. Wiley (1972).
[8]	G. ‘t Hooft, “ Introduction To General Relativity,” Institute for Theoretical Physics; Utrecht University (2002).
[9]	Poul Olesen, “General Relativity and Cosmology,” The Niels Bohr Institute (2008).
[10]	M. Kachelrieb, “Gravitation and Cosmology,” Institute for fysikk; NTNU (2010).
[11]	M. Khoshsima, “Black Hole Spacetime Equation in Special Relativity.” International Journal of Astronomy, Astrophysics and Space Science; Vol. 2, No. 4, 2015, pp. 30-33.
[12]	M. Khoshsima, “Universe, a Spacetime Harmonic Oscillator.” International Journal of Physics, Vol. 4, no. 1(2016): 21-25.