Another proof of Gell-Mann and Low's theorem

Abstract

The theorem by Gell-Mann and Low is a cornerstone in QFT and zero-temperature many-body theory. The standard proof is based on Dyson's time-ordered expansion of the propagator; a proof based on exact identities for the time-propagator is here given.

5 pages

References in corpus (4)

• Inconsistency in the application of the adiabatic theorem
• Time Dependent Floquet Theory and Absence of an Adiabatic Limit
• Comparison of classical and second quantized description of the dynamic Stark shift
• The Generalized Gell-Mann--Low Theorem for Relativistic Bound States

Cited by in corpus (6)

• Thermodynamics of precision in quantum non equilibrium steady states
• Jarzynski Equality for Driven Quantum Field Theories
• Quantum fields with classical interactions
• On some aspects of the definition of scattering states in quantum field theory
• A theorem of Kohn applied to quantum oscillations in Cuprates
• Quantization due to the time evolution, with applications to Quantum Yang-Mills theory, Quantum Gravity and Classical Statistical Field Theory