Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1303-9292-5 |
Объём: | 88 страниц |
Масса: | 153 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
High Quality Content by WIKIPEDIA articles! Such a sum will typically have a pole at s=4, due to the bulk contributions of the quantum field in three space dimensions. However, it may be analytically continued to s=0 where hopefully there is no pole, thus giving a finite value to the expression. A detailed example of this regularization at work is given in the article on the Casimir effect, where the resulting sum is very explicitly the Riemann zeta-function. The zeta-regularization is useful as it can often be used in a way such that the various symmetries of the physical system are preserved. Besides the Casimir effect, zeta-function regularization is used in conformal field theory and in fixing the critical spacetime dimension of string theory.
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