Perturbative finite-temperature results and Padé approximants
نویسندگان
چکیده
منابع مشابه
Perturbative Finite-Temperature Results and Padé Approximants
Padé approximants are used to improve the convergence behavior of perturbative results in massless scalar and gauge field theories at finite temperature. In recent years, computational methods have been developed to analytically tackle three-loop vacuum diagrams and higher-order contributions of diagrams with less loops in massless field theories at finite temperature [1]-[5]. Consequently, the...
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In 1976, Chisholm et al. 1 published a paper concerning the location of poles and zeros of Padé approximants of ln 1 − z developed at the complex point ζ : ln 1 − z ln 1 − ζ − ∑∞ n 1 1/n z − ζ/1 − ζ . They claimed that all poles and zeros of diagonal Padé approximants n/n interlace on the cut z ζ t 1 − ζ , t ∈ 1,∞ . Unfortunately, this result is only partially true, for poles. Klarsfeld remarke...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1997
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.56.8107