Stochasticity and Bell-type quantum field theory
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This paper critically discusses an objection proposed by Nikolić against the naturalness of the stochastic dynamics implemented by the Bell-type quantum field theory, an extension of Bohmian mechanics able to describe the phenomena of particles creation and annihilation. Here I present: (1) Nikolić’s ideas for a pilot-wave theory accounting for QFT phenomenology evaluating the robustness of his criticism, (2) Bell’s original proposal for a Bohmian QFT with a particle ontology and (3) the mentioned Bell-type QFT. I will argue that although Bell’s model should be interpreted as a heuristic example showing the possibility to extend Bohm’s pilot-wave theory to the domain of QFT, the same judgement does not hold for the Bell-type QFT, which is candidate to be a promising possible alternative proposal to the standard version of quantum field theory. Finally, contra Nikolić, I will provide arguments in order to show how a stochastic dynamics is perfectly compatible with a Bohmian quantum theory.
KeywordsQuantum field theory Bohmian mechanics Bell-type quantum field theory Primitive ontology
I would like to thank Michael Esfeld, Anna Marmodoro, Davide Romano, Dustin Lazarovici, Mario Hubert, Olga Sarno and the anonymous referees for helpful comments on this paper. I am grateful to the Swiss National Science Foundation for financial support (Grant No. 105212-175971).
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