Thermal Quantum Fields without Cut-offs in 1+1 Space-time Dimensions

Abstract

We construct interacting quantum fields in 1+1 dimensional Minkowski space, representing neutral scalar bosons at positive temperature. Our work is based on prior work by Klein and Landau and Hoegh-Krohn

48 pages

References in corpus (3)

• Perturbative Quantum Field Theory at Positive Temperatures: An Axiomatic Approach
• Thermal Quantum Fields with Spatially Cut-off Interactions in 1+1 Space-time Dimensions
• Stochastically positive structures on Weyl algebras. The case of quasi-free states

Cited by in corpus (5)

• A Perspective on Constructive Quantum Field Theory
• Construction of KMS States in Perturbative QFT and Renormalized Hamiltonian Dynamics
• Interacting Quantum Fields on de Sitter Space
• The relativistic KMS condition for the thermal n-point functions of the P(ϕ)_2 model
• On the mixing property for a class of states of relativistic quantum fields