117,053 research outputs found
Non-causal computation
Computation models such as circuits describe sequences of computation steps
that are carried out one after the other. In other words, algorithm design is
traditionally subject to the restriction imposed by a fixed causal order. We
address a novel computing paradigm beyond quantum computing, replacing this
assumption by mere logical consistency: We study non-causal circuits, where a
fixed time structure within a gate is locally assumed whilst the global causal
structure between the gates is dropped. We present examples of logically
consistent non- causal circuits outperforming all causal ones; they imply that
suppressing loops entirely is more restrictive than just avoiding the
contradictions they can give rise to. That fact is already known for
correlations as well as for communication, and we here extend it to
computation.Comment: 6 pages, 4 figure
Causal Propagators for Algebraic Gauges
Applying the principle of analytic extension for generalized functions we
derive causal propagators for algebraic non-covariant gauges. The so generated
manifestly causal gluon propagator in the light-cone gauge is used to evaluate
two one-loop Feynman integrals which appear in the computation of the
three-gluon vertex correction. The result is in agreement with that obtained
through the usual prescriptions.Comment: LaTex, 09 pages, no figure
Dissipative hydrodynamics for viscous relativistic fluids
Explicit equations are given for describing the space-time evolution of
non-ideal (viscous) relativistic fluids undergoing boost-invariant longitudinal
and arbitrary transverse expansion. The equations are derived from the
second-order Israel-Stewart approach which ensures causal evolution. Both
azimuthally symmetric (1+1)-dimensional and non-symmetric (2+1)-dimensional
transverse expansion are discussed. The latter provides the formal basis for
the hydrodynamic computation of elliptic flow in relativistic heavy-ion
collisions including dissipative effects.Comment: 12 pages, no figures. Submitted to Physical Review
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