Abstract
In this paper we seek solutions that break translational invariance spontaneously. The usual procedure of quantum field theory is adapted to finding solutions with the same symmetry as the original Hamiltonian. But, physically, it is perfectly possible for solutions with broken symmetry to be realized. In recent years there have therefore been many investigations (following Nambu’s pioneering work) devoted to spontaneous symmetry breaking in quantum field theory. One usually proceeds from the unrenormalized system of equations. It seems to us more consistent (and, at the least, more convenient) to use the renormalized system of equations, which enables one to avoid infinities and the need to introduce cutoff parameters and all that this entails.
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Fradkin, E.S., Shabad, A.E. (1974). Spontaneous Breaking of Translational Invariance in Quantum Electrodynamics. In: Skobel’tsyn, D.V. (eds) Theory of Interaction of Elementary Particles at High Energies. The Lebedev Physics Institute Series, vol 57. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6824-4_6
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DOI: https://doi.org/10.1007/978-1-4757-6824-4_6
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