Existence of Ground States in Nonrelativistic Field Theories

Marco Falconi ()
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Marco Falconi: Politecnico di Milano, Dipartimento di Matematica

Chapter 98 in Operator Theory, 2026, pp 2989-3015 from Springer

Abstract: Abstract In this chapter, we discuss the existence of ground states in systems describing the interaction between nonrelativistic particles and bosonic quantum fields, with an emphasis on the infrared catastrophe causing the emergence of non-Fock ground states for massless fields with an infrared singular interaction.

Keywords: Quantum field theory; Existence of ground states; van Hove model; Non-Fock representations of scalar fields (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-16356-1_93

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DOI: 10.1007/978-3-032-16356-1_93

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