Nontrivial quantization of phi(4)(n), n >= 2

作者：Klauder J R^*

来源：Theoretical and Mathematical Physics, 2015, 182(1): 83-89.

DOI：10.1007/s11232-015-0247-5

• nontriviality of phi to the fourth
• overcoming nonrenormalizability
• mixed model

The conventional quantization of covariant I center dot (n) (4) scalar field models for space-time dimensions n a parts per thousand yen is trivial, and this may also be true for n = 4. But an alternative O(A ) counterterm leads to nontrivial results for all n a parts per thousand yen 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 I center dot (n) (p) for all even p including those where p > 2n/(n - 2), which are traditionally regarded as nonrenormalizable.

• 出版日期2015-1