Radiation corrections to the ground state energy of the charged vector particle in magnetic field

Details Radiation corrections to the ground state energy of the charged vector particle in magnetic field Radiation corrections to the ground state energy of the charged vector particle in magnetic field

2012-03-31

arxiv.org/abs/1204.0121v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages

Scientific paper

We derive a simple representation for the polarization tensor of charged massive vector particle with gyromagnetic ratio g = 2 in a magnetic field $B = const$, averaged over the ground state. This expression corresponds to the Demeur formula in QED. We investigate the ground state energy at the threshold of the tree level instability, B -> B_c = m^2/e. In the standard model, it is found that the energy determined from the Schwinger-Dyson equation is real in this limit for the values of the Higgs boson mass m_H > m_Z, that ensures stability of the W- boson spectrum. In the effective rho - meson electrodynamics, the electromagnetic radiation corrections shift the threshold of the instability to weaker fields B < B_c^rho. Some peculiarities of the effective theory are discussed.

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