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Nontrivial quantization of ϕ 4 n , n ≥ 2

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Abstract

The conventional quantization of covariant ϕ 4 n scalar field models for space-time dimensions n ≥ is trivial, and this may also be true for n = 4. But an alternative O(ħ) counterterm leads to nontrivial results for all n ≥ 4 and also provides a different quantization for n = 2, 3. We determine the counterterm that provides these desirable properties as simply and directly as possible. The same counterterm also resolves models such as ϕ pn for all even p including those where p > 2n/(n − 2), which are traditionally regarded as nonrenormalizable.

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Authors and Affiliations

  1. Department of Physics and Department of Mathematics, University of Florida, Gainesville, Florida, USA

    J. R. Klauder

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  1. J. R. Klauder
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Correspondence to J. R. Klauder.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 182, No. 1, pp. 103–111, January, 2014.

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Klauder, J.R. Nontrivial quantization of ϕ 4 n , n ≥ 2. Theor Math Phys 182, 83–89 (2015). https://doi.org/10.1007/s11232-015-0247-5

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  • DOI: https://doi.org/10.1007/s11232-015-0247-5

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