Renormalization in Open Quantum Field theory I: Scalar field theory

Abstract

While the notion of open quantum systems is itself old, most of the existing studies deal with quantum mechanical systems rather than quantum field theories. After a brief review of field theoretical/path integral tools currently available to deal with open quantum field theories, we go on to apply these tools to an open version of ${\varphi }^3$ + ${\varphi }^4$ theory in four spacetime dimensions and demonstrate its one loop renormalizability (including the renormalizability of the Lindblad structure).

46 pages+appendices

References in corpus (1)

• Schwinger-Keldysh formalism I: BRST symmetries and superspace

Cited by in corpus (5)

• Open quantum systems and Schwinger-Keldysh holograms
• Nonlinear Langevin dynamics via holography
• Open effective theory of scalar field in rotating plasma
• Schwinger-Keldysh superspace in quantum mechanics
• Renormalisation in Open Quantum Field theory II: Yukawa theory and PV reduction