1998/07/05 by Ji-Feng Yang, Jifeng Yang, Yang, Jifeng
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #hep-ph #hep-th #nucl-th #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/9807037
31pages, LaTex, no figure, an extended version of the invited talk Titled 'Can QFT be UV finite as well as effective?' at the XIth International Conference, 'Problems of quantum field theory' held in JINR, Dubna, Russia, July 13-17, 1998
openalex publication_date 1998/07/05 · arxiv created 1999/01/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new attempt is demonstrated that QFTs can be UV finite if they are viewed as the low energy effective theories of a fundamental underlying theory (that is complete and well-defined in all respects) according to the modern standard point of view. This approach works for any interaction model and space-time dimension. It is much simpler in principle and in technology comparing to any known renormalization program.Unlike the known renormalization methods, the importance of the procedure for defining the ambiguities (corresponding to the choice of the renormalization conditions in the conventional program) is fully appreciated in the new approach. It is shown that the high energy theory(s) or the underlying theory(s) in fact 'stipulates (stipulate)' the low energy and effective ones through these definitions within our approach while all the conventional methods miss this important point. Some simple but important nonperturbative examples are discussed to show the power and plausibility of the new approach. Other related issues (especially the IR problem and the implication of our new approach for the canonical quantization procedure) are briefly touched.