ϕ 2 4 quantum field model in the single-phase region: Differentiability of the mass and bounds on critical exponents

1985 ◽  
pp. 341-344
Author(s):  
James Glimm ◽  
Arthur Jaffe
Keyword(s):  
Critical Exponents ◽  
Single Phase ◽  
Field Model ◽  
Phase Region ◽  
Quantum Field ◽  
Single Phase Region

On the Absence of Bound States in the λϕ24 Quantum Field Model Without Symmetry Breaking

1974 ◽  
Vol 52 (16) ◽  
pp. 1583-1587 ◽  
Author(s):  
Joel Feldman
Keyword(s):  
Symmetry Breaking ◽  
Bound States ◽  
Green's Functions ◽  
Single Phase ◽  
Field Model ◽  
Green’S Functions ◽  
Mass Operator ◽  
Phase Region ◽  
Quantum Field ◽  
Single Phase Region

We study a λϕ24 model with a unique vacuum, invariant under the symmetry ϕ → −ϕ, and we assume that certain connected 4n-point Euclidean Green's functions are negative. Then the mass operator, M = (H2 – P2)1/2, restricted to the space of states that are even under ϕ → −ϕ, has no spectrum in the interval (0, 2m). In particular, two particle bound states do not occur in the single phase region (i.e. λ < λcritical).

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