Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-05-14
Nucl.Phys. B408 (1993) 535-550
Physics
High Energy Physics
High Energy Physics - Theory
22 pages
Scientific paper
10.1016/0550-3213(93)90378-3
A reorganized perturbation expansion with a propagator of soft infrared behavior is used to study the critical behavior of the mass gap. The condition of relativistic covariance fixes the form of the soft propagator. Finite approximants to the correlation critical exponent can be obtained in every order of the modified, soft perturbation expansion. Alternatively, a convergent series of exponents in large orders of the soft perturbation expansion is provided by the renormalization group in all spatial dimensions, $1\leq D\leq3$. The result of the $\epsilon$-expansion is recovered in the $D\rightarrow 3 $ limit.
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