Statistics – Applications
Scientific paper
Aug 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005pasc.conf..549t&link_type=abstract
PASCOS 2004 Part I: Particles, Strings and Cosmology* Part II: Themes in Unification -- The Pran Nath Festschrift†. *,†Proceedin
Statistics
Applications
Scientific paper
Though QFT is well developed and successful in theoretical aspects and applications, there are some defects in QFT [1]. Ultraviolet divergences and infrared divergences are serious defects of QFT. The ultraviolet divergence will not be discussed in this article since it was discussed by Hung-Ming Tsai et al. in 2003 [2]. There are two approaches to remove the infrared singularities. The first part of this article is the mathematical proof of the existence of a positive lower bound of the energy of emitted photons or gluons. Therefore, the soft divergence is removed. The second part of this article is to show the existence of a regular basis of the solution space of the field equation. The second quantization is based on this regular basis. With this regular basis, the infrared divergences, both the soft divergence and the collinear divergence, are expected to be removed.
Tsai Hung-Ming
Tsai Lu-Hsing
Tsai Po-Yu
Tsai Yeong-Shyeong
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