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Vacuum energy ingϕ /4 d -theory forg→∞

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Abstract

In the nonlocalgϕ /4 d (d≧1) and localgϕ 42 theory theS-matrix is obtained in a form of the functional integral which is proved to exist. The density of vacuum energy

$$E(g) = - \mathop {\lim }\limits_{V \to \infty } \frac{1}{V}\ln \left\langle {0\left| {S_V (g)} \right|0} \right\rangle $$

is investigated. It is proved to be analytic through the whole complexg-plane except for the negative real axis and pointg=0. Its asymptotic behaviour forg→∞ is found.

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Authors and Affiliations

  1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, USSR

    G. V. Efimov

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  1. G. V. Efimov
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Communicated by A. Jaffe

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Efimov, G.V. Vacuum energy ingϕ /4 d -theory forg→∞. Commun.Math. Phys. 65, 15–44 (1979). https://doi.org/10.1007/BF01940958

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  • DOI: https://doi.org/10.1007/BF01940958

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