1992/12/10 by Pankaj Jain, Jain, Pankaj
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9212244
To appear in Proceedings of DPF92, Meeting of the American Physical Society (Fermilab 1992), 4 pages, report # KUHEP-24
arxiv created 1992/12/10 · openalex publication_date 1992/12/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
I show that a standard application of the semiclassical techniques to 1+1 dimensional field theories, as originally discussed by Dashen, Hasslacher and Neveu, explicitly violates the Poincare algebra. This problem is traced to the incorrect regularization of the ultraviolet divergences and can be resolved by using a different regularization. I further show that in the case of the doublet solutions in the sine-Gordon theory the semiclassical treatment given by Dashen, Hasslacher and Neveu leads to ambiguous results which depend on the choice of the renormalization counterterm. I discuss a consistent weak coupling expansion which does not suffer from this problem.