Geodesic
Phase transitions in~relativistic models induced by~a~stochastic potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 49-62

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The vacuum response to an external static scalar and pseudoscalar stochastic field is investigated. A new (stochastic) mechanism of mass generation is suggested for four-dimensional model of interacting massless scalar and fermion fields. The mean density of states of Dirac fermions in the “pseudoscalar white noise” is calculated exactly in two-dimensional space-time. It is shown that the rapidly varying stochastic field enhances the threshold singularity in the density of states and gives rise to the stimulation (increase) of the effective fermion mass. 
@article{TMF_1989_79_1_a4,
     author = {I. V. Krive and S. A. Naftulin and E. E. Tuluzova},
     title = {Phase transitions in~relativistic models induced by~a~stochastic potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {49--62},
     publisher = {mathdoc},
     volume = {79},
     number = {1},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a4/}
}
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I. V. Krive; S. A. Naftulin; E. E. Tuluzova. Phase transitions in~relativistic models induced by~a~stochastic potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 49-62. http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a4/