Abstract
We use the skeleton-graph $\ensuremath{\epsilon}$-expansion method to discuss the critical dynamics of a Bose liquid in $d=4\ensuremath{-}\ensuremath{\epsilon}$ dimensions. The treatment is limited to the question of the behavior at the critical temperature of the frequency-dependent order-parameter correlation function (propagator) at zero momentum. We find that a power-law variation with frequency is only possible when the system acquires time-dependent Ginzburg-Landau behavior. Our analysis is incomplete in that the influence of collective modes on the critical behavior is not taken into account in detail. In an appendix, we present a powerful method for evaluating integrals associated with the Feynman graphs which arise in problems in critical phenomena.
Keywords
PropagatorPhysicsScalingFeynman diagramCritical exponentStatistical physicsCritical phenomenaGraphPower lawScaling lawMathematical physicsTheoretical physicsQuantum mechanicsMathematicsDiscrete mathematicsPhase transitionGeometry
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Publication Info
- Year
- 1975
- Type
- article
- Volume
- 11
- Issue
- 11
- Pages
- 4498-4503
- Citations
- 10
- Access
- Closed
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Cite This
Elihu Abrahams,
T. Tsuneto
(1975).
Skeleton-graph approach to dynamical scaling.
Physical review. B, Solid state
, 11
(11)
, 4498-4503.
https://doi.org/10.1103/physrevb.11.4498
Identifiers
- DOI
- 10.1103/physrevb.11.4498