Bekenstein has proposed the bound S < pi M_P^2 L^2 on the total entropy S in
a volume L^3. This non-extensive scaling suggests that quantum field theory
breaks down in large volume. To reconcile this breakdown with the success of
local quantum field theory in describing observed particle phenomenology, we
propose a relationship between UV and IR cutoffs such that an effective field
theory should be a good description of Nature. We discuss implications for the
cosmological constant problem. We find a limitation on the accuracy which can
be achieved by conventional effective field theory: for example, the minimal
correction to (g-2) for the electron from the constrained IR and UV cutoffs is
larger than the contribution from the top quark.Comment: 5 pages, no figures minor clarifications, refs adde
We introduce a new and well defined power counting for the effective field theory describing nucleon-nucleon interactions. Because of the large N N scattering lengths it differs from other applications of chiral perturbation theory and is facilitated by introducing an unusual subtraction scheme and renormalization group analysis. Calculation to subleading order in the expansion can be done analytically, and we present the results for both the 1 S 0 and
I show that a lattice theory of massive interacting fermions in 2n + 1 dimensions may be used to simulate the behaviour of massless chiral fermions in 2n dimensions if the fermion mass has a step function shape in the extra dimension. The massless states arise as zeromodes bound to the mass defect, and all doublers can be given large gauge invariant masses. The manner in which the anomalies are realized is transparent: apparent chiral anomalies in the 2n dimensional subspace correspond to charge flow into the extra dimension.
We elaborate on a new technique for computing properties of nucleon-nucleon interactions in terms of an effective field theory derived from low energy N N scattering data. Details of how the expansion is carried out to higher orders are presented. Analytic formulae are given for the amplitude to subleading order in both the 1 S 0 and 3 S 1 − 3 D 1 channels.
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