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Communications in Mathematical Physics

, Volume 42, Issue 1, pp 1–7 | Cite as

Higher order estimates for the Yukawa2 quantum field theory

  • Oliver A. Mc Bryan
Article

Abstract

Higher order estimates of the form
$$\mathop \Pi \limits_1^n N_{\tau _i } \mathbin{\lower.3ex\hbox{$\buildrel<\over{\smash{\scriptstyle=}\vphantom{_x}}$}} const(H(g) + I)^n , \sum\limits_1^n {\tau _i< 1, \tau _i \mathbin{\lower.3ex\hbox{$\buildrel>\over{\smash{\scriptstyle=}\vphantom{_x}}$}} 0}$$
are proved for the Yukawa2 models with and without SU3 symmetry. We also prove norm convergence of ∏ 1 n \(\Pi _1^n N_{\tau _i }^{{\textstyle{1 \over 2}}} \cdot R_\kappa ^{n/2 + \delta }\) as κ→∞ whereRκ=(H(g, κ)+I)−1.

Keywords

Neural Network Statistical Physic Field Theory Complex System Quantum Field Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Oliver A. Mc Bryan
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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