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searching for Loop integral 5 found (11 total)

Dimensional regularization (1,431 words) [view diff] exact match in snippet view article find links to article

x^{-1}} , as it should. Suppose one wishes to dimensionally regularize a loop integral which is logarithmically divergent in four dimensions, like I = ∫ d

Geometric phase (4,014 words) [view diff] exact match in snippet view article find links to article

{\displaystyle R_{\mu }} . The nonadiabatic coupling can be used to define a loop integral, analogous to a Wilson loop (1974) in field theory, developed independently

Renormalization (8,436 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \left(1+{\sqrt {q}}_{i}q^{i}\right)^{-s}} so the multi-loop integral will converge for big enough s using the Zeta regularization we can

William A. Bardeen (2,195 words) [view diff] exact match in snippet view article find links to article

maintains the conservation of the vector current in the definition of the loop integral, and places the anomaly in the axial current. This is known as the "covariant

Generating function transformation (11,127 words) [view diff] exact match in snippet view article find links to article

in this section. The last integral formula is compared to Hankel's loop integral for the reciprocal gamma function applied termwise to the power series