OALib Journal期刊
ISSN: 2333-9721
费用:99美元
Gauge Contradictions in the QED Lagrangian Density
DOI: 10.4236/oalib.1103596 , PP. 1-7
Subject Areas:
Theoretical Physics
Keywords: Quantum Electrodynamics , Lagrangian Density , Gauge Transformation , Double Slit Experiment
Abstract
This work distinguishes
between classical electrodynamics where Maxwell equations and the Lorentz force
are used as the theory’s
cornerstone (MLE) and electrodynamic theories that are derived from the
variational principle (VE). The paper explains the significance of this
distinction. Mathematical elements of gauge transformations are examined within
the realm of these theories. The analysis proves that MLE is a gauge invaria nt
theory whereas errors arise from the introduction of gauge transformations into
VE. The paper explains why MLE evades the contradictions of VE.
Cite this paper
Comay, E. (2017). Gauge Contradictions in the QED Lagrangian Density. Open Access Library Journal , 4, e3596. doi: http://dx.doi.org/10.4236/oalib.1103596 .
References
[1 ] Landau, L.D.
and Lifshitz, E.M. (2005)
The Classical Theory of Fields. Elsevier, Amsterdam.
[2 ] Weinberg, S. (1995)
The Quantum Theory of Fields. Vol. 1, Cambridge University
Press, Cambridge.
[3 ] Peskin, M.E. and Schroeder, D.V. (1995) An
Introduction to Quantum Field Theory. Addison-Wesley, Reading.
[4 ] Landau, L.D.
and Lifshitz, E.M. (1959)
Quantum Mechanics.
Pergamon, London.
[5 ] Bjorken, J.D. and Drell, S.D. (1965) Relativistic Quantum Fields. McGraw-Hill,
New York.
[6 ] Pauli, W. (1941)
Relativistic
Field Theories of Elementary Particles. Reviews
of Modern Physics , 13, 203.
[7 ] Yang, C.N.
and Mills, R. (1954)
Conservation
of Isotopic Spin and Isotopic Gauge Invariance. Physical
Review , 96, 191.
[8 ] Halzen, F.
and Martin, A.D. (1984) Quarks
and Leptons: An
Introductory Course in Modern Particle Physics. John Wiley, New York.
[9 ] Bjorken, J.D.
and Drell, S.D. (1964) Relativistic
Quantum Mechanics.
McGraw-Hill, New York.
[10 ] Dirac, P.A.M. (1958) The Principles of Quantum
Mechanics. 4th
Edition, Oxford
University Press, Oxford.
[11 ] Jenkins, F.A. and White, H.E. (1957) Fundamentals
of Optics.
McGraw-Hill, New York.
[12 ] Comay, E. (2008) Mathematical Constraints on Gauge in Maxwellian
Electrodynamics. Apeiron , 15, 123.
[13 ] Pohl, R., et al . (2010) The Size of the
Proton. Nature , 466, 213.
Full-Text
Please enable JavaScript to view the comments powered by Disqus.
comments powered by
Contact Us
service@oalib.com
QQ:3279437679
WhatsApp +8615387084133
WeChat 1538708413