Thursday, April 5, 2012

1204.0121 (V. V. Skalozub)

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

V. V. Skalozub
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.
View original: http://arxiv.org/abs/1204.0121

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