Besprechungen

Abstract

316 hierbei um sehr wichtige Fragen und cs wiirde zu begriillen sein, wenn mSglichst zahlreiche und erfolgreiche weitere Schritt~ zu ihrer LSsung getan wiirden. Auch diese ,,Konstitutionen" sind ja anthropologisch yon gro~er Bedeutung. Literatur. ~) gchie[[erdeckcr, P., Beitriige zur Kenntnis der ~Iyotonia congenita, der Tetaaie mit myotonischen Symptomen, der Paralysis agitans und einiger anderer Muskelkrankheiten, zur Kenntnis der Aktivitiitshypertrophie und dee normalen Muskelbaues. Mit klinischen Beitriigen yon Prof. Ft. Schultze. (Deutsche Zeitschr. L Nervenheilk. Bd. 25, 1903, S. 1--345, mit 15 Tafeln.) II Schlefferdecker, P., Muskeln und Muskelkerne. 317 S. mit 20 Abbild. im Text. Johann Ambrosius Barth, Leipzig 1909.

Dynamical Topological Transitions in the Massive Schwinger Model with a θ Term

“…. In contrast to previous works [18,34], we use periodic boundary conditions (PBC) [61], see [35] for more details. To efficiently compute the topological invariant ν, we adapt a formalism that has originally been developed for computing Chern numbers in momentum space [36].…”

“…(3) since it is enabled by the use of a closed integration path in the (k, t) plane. This adaption forces ν to remain integer-valued even when evaluated on coarse grids, thus leading to convergence already for small lattices [35].…”

“…While the results for e/m 1 are already reasonably finite-volume converged for the small system size plotted, at e/m 1 finite-volume effects persist up to N = 20 (not shown here; c.f. [35]). Nevertheless, the topological transition seems to vanish altogether at sufficiently large coupling e/m 2, in agreement with θ being an irrelevant parameter in the limit m → 0 [37].…”

“…where F = (F s , F 1 , F 5 ) are the Lorentz components of the correlator, F (t) = F s (t)1 + F µ (t)γ µ + iF 5 (t)γ 5 . In the weak-coupling limit, one has K θ→θ (t) = k |g θ→θ (k, t)| 2 = |L θ→θ (t)| 2 (for details, see [35]). We thus have three complementary definitions that coincide for e/m → 0, obtained from equal-time correlators, Eq.…”