Dimensional regularization of nonlinear sigma models on a finite time interval
نویسندگان
چکیده
منابع مشابه
Dimensional regularization of nonlinear sigma models on a finite time interval
We extend dimensional regularization to the case of compact spaces. Contrary to previous regularization schemes employed for nonlinear sigma models on a finite time interval (“quantum mechanical path integrals in curved space”) dimensional regularization requires only a covariant finite two-loop counterterm. This counterterm is nonvanishing and given by 1 8 h̄R. E-mail: [email protected] E-...
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15 صفحه اولDimensional regularization of the path integral in curved space on an infinite time interval
We use dimensional regularization to evaluate quantum mechanical path integrals in arbitrary curved spaces on an infinite time interval. We perform 3-loop calculations in Riemann normal coordinates, and 2-loop calculations in general coordinates. It is shown that one only needs a covariant two-loop counterterm (VDR = h̄ 8 R) to obtain the same results as obtained earlier in other regularization ...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2000
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(00)01180-1