منابع مشابه
Dimensional Regularization
The problem of perturbative renormalization theory is to give a meaning to certain divergent integrals arising from Feynman diagrams. The analytical difficulty is to regularize the occurring divergent integrals, associating to each Feynman diagram some finite value. The physical difficulty is to do this in such a way that the outcome has a physical meaning. The contributions of the various Feyn...
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The calculation of loop amplitudes with parity violation or spin effects within dimensional regularization needs a consistent definition of γ5. Also loop calculations in supersymmetric theories need a consistent definition of γ5. In this paper we develop a new formalism, which allows us to define consistent regularization schemes. We use Grothendieck’s K-functor to construct finite-dimensional ...
متن کاملScheming in Dimensional Regularization
We consider the most general loop integral that appears in non-relativistic effective field theories with no light particles. The divergences of this integral are in correspondence with simple poles in the space of complex space-time dimensions. Integrals related to the original integral by subtraction of one or more poles in dimensions other than D = 4 lead to nonminimal subtraction schemes. S...
متن کاملEffective Field Theory Dimensional Regularization
A Lorentz-covariant regularization scheme for effective field theories with an arbitrary number of propagating heavy and light particles is given. This regularization scheme leaves the low-energy analytic structure of Greens functions intact and preserves all the symmetries of the underlying Lagrangian. The power divergences of regularized loop integrals are controlled by the low-energy kinemat...
متن کاملOn dimensional regularization of sums
We discuss a systematic way to dimensionally regularize divergent sums arising in field theories with an arbitrary number of physical compact dimensions or finite temperature. The method preserves the same symmetries of the action as the conventional dimensional regularization and allows an easy separation of the regulated divergence from the finite term that depends on the compactification rad...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2016
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x16300428