Higgs Mechanism and New Propagator of Massive Vector Bosons

Affiliation(s)

Department of Physics, Faculty of Science and Technology, Nihon University, Tokyo, Japan.

Department of Physics, Faculty of Science and Technology, Nihon University, Tokyo, Japan.

ABSTRACT

discuss a serious problem related to the Higgs mechanism and show that the*unitary gauge *which imposes the condition of ф=ф^{÷} on the Higgs fields does not correspond to a proper gauge fixing. Instead, this is simply a procedure for producing the massive vector boson fields by hand. This suggests that the Lagrangian density of the weak interactions should be reconsidered by starting from the massive vector boson fields which couple to the fermion currents as the initial ingredients. Here, it is shown that the new renormalization scheme with massive vector bosons has no intrinsic problem and the massive vector boson fields do not give rise to any divergences for the physical observables in the renormalization scheme.

discuss a serious problem related to the Higgs mechanism and show that the

Cite this paper

T. Fujita, N. Kanda and K. Tsuda, "Higgs Mechanism and New Propagator of Massive Vector Bosons,"*Journal of Modern Physics*, Vol. 3 No. 7, 2012, pp. 619-624. doi: 10.4236/jmp.2012.37085.

T. Fujita, N. Kanda and K. Tsuda, "Higgs Mechanism and New Propagator of Massive Vector Bosons,"

References

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[1] T. Fujita, “Symmetry and Its Breaking in Quantum Field Theory,” 2nd Edition, Nova Science Publishers, 2011.

[2] P. W. Higgs, “Broken Symmetries, Massless Particles and Gauge Fields,” Physics Letters, Vol. 12, No. 2, 1964, pp. 132-133. doi:10.1016/0031-9163(64)91136-9

[3] S. L. Glashow, “Partial-Symmetries of Weak Interactions,” Nuclear Physics, Vol. 22, No. 4, 1961, pp. 579- 588. doi:10.1016/0029-5582(61)90469-2

[4] S. Weinberg, “A Model of Leptons,” Physical Review Letters, Vol. 19, 1967, pp. 1264-1266. doi:10.1103/PhysRevLett.19.1264

[5] A. Salam, “In Elementary Particle Physics (Nobel Symposium No. 8),” Almqvist and Wilsell, Stockholm, 1968.

[6] T. Fujita and N. Kanda, “No Anomaly and New Renormalization Scheme,” 2012. http://www.quant-ph.cst.nihon-u.ac.jp/fffujita/AnomalyRS.pdf

[7] T. Fujita, S. Kanemaki, A. Kusaka and S. Oshima, “Mystery of Real Scalar Klein-Gordon Field,” physics/ 0610268.

[8] S. Kanemaki, A. Kusaka, S. Oshima and T. Fujita, “Problems of Scalar Bosons,” In: T. Fujita, Ed., New Fundamentals in Fields and Particles, Research Signpost, 2008.

[9] J. Goldstone, “Field Theories with Superconductor Solutions,” Nuovo Cimento, Vol. 19, No. 1, 1961, pp. 154-164. doi:10.1007/BF02812722

[10] T. Fujita, “Physical Observables in Gauge Field Theory,” In: T. Fujita, Ed., New Fundamentals in Fields and Particles, Research Signpost, 2008.

[11] K. Nishijima, “Fields and Particles,” W. A. Benjamin, Inc., New York, 1969.

[12] F. Mandl and G. Shaw, “Quantum Field Theory,” John Wiley & Sons, New York, 1993.

[13] J. D. Bjorken and S. D. Drell, “Relativistic Quantum Mechanics,” McGraw-Hill Book Company, New York, 1964.