1,003 research outputs found
Differential Renormalization-Group Approach to the Layered sine-Gordon Model
New qualitative picture of vortex length-scale dependence has been found in
recent electrical transport measurements performed on strongly anisotropic
BSCCO single crystals in zero magnetic field. This indicates the need for a
better description of the 3D/2D crossover in vortex dimensionality. The
vortex-dominated properties of high transition temperature superconductors with
extremely high anisotropy (layered systems) are reasonably well described in
the framework of the layered XY model which can be mapped onto the layered
sine-Gordon model. For the latter we derive an exact renormalization group (RG)
equation using Wegner's and Houghton's approach in the local potential
approximation. The agreement of the UV scaling laws find by us by linearizing
the RG equations with those obtained previously in the literature in the dilute
gas approximation makes the improvement appearant which can be achieved by
solving our RG equations numerically.Comment: 12 pages, no figures, to be published in Philos. Ma
Renormalization of the Periodic Scalar Field Theory by Polchinski's Renormalization Group Method
The renormalization group (RG) flow for the two-dimensional sine-Gordon model
is determined by means of Polchinski's RG equation at next-to-leading order in
the derivative expansion. In this work we have two different goals, (i) to
consider the renormalization scheme-dependence of Polchinski's method by
matching Polchinski's equation with the Wegner-Houghton equation and with the
real space RG equations for the two-dimensional dilute Coulomb-gas, (ii) to go
beyond the local potential approximation in the gradient expansion in order to
clarify the supposed role of the field-dependent wave-function renormalization.
The well-known Coleman fixed point of the sine-Gordon model is recovered after
linearization, whereas the flow exhibits strong dependence on the choice of the
renormalization scheme when non-linear terms are kept. The RG flow is compared
to those obtained in the Wegner-Houghton approach and in the dilute gas
approximation for the two-dimensional Coulomb-gas.Comment: 14 pages, LaTeX, 1 figure; J. Phys. G (in press
Renormalization-Group Analysis of the Generalized sine-Gordon Model and of the Coulomb Gas for d >= 3 Dimensions
Renormalization-group (RG) flow equations have been derived for the
generalized sine-Gordon model (GSGM) and the Coulomb gas (CG) in d >= 3 of
dimensions by means of Wegner's and Houghton's, and by way of the real-space RG
approaches. The UV scaling laws determined by the leading-order terms of the
flow equations are in qualitative agreement for all dimensions d >= 3,
independent of the dimensionality, and in sharp contrast to the special case d
= 2. For the 4-dimensional GSGM it is demonstrated explicitly (by numerical
calculations), that the blocked potential tends to a constant effective
potential in the infrared (IR) limit, satisfying the requirements of
periodicity and convexity. The comparison of the RG flows for the
three-dimensional GSGM, the CG, and the vortex-loop gas reveals a significant
dependence on the renormalization schemes and the approximations used.Comment: 19 pages, 8 figure
On the applicability of the layered sine-Gordon model for Josephson-coupled high-T_c layered superconductors
We find a mapping of the layered sine-Gordon model to an equivalent gas of
topological excitations and determine the long-range interaction potentials of
the topological defects. This enables us to make a detailed comparison to the
so-called layered vortex gas, which can be obtained from the layered
Ginzburg-Landau model. The layered sine-Gordon model has been proposed in the
literature as a candidate field-theoretical model for Josephson-coupled
high-T_c superconductors, and the implications of our analysis for the
applicability of the layered sine-Gordon model to high-T_c superconductors are
discussed. We are led to the conjecture that the layered sine--Gordon and the
layered vortex gas models belong to different universality classes. The
determination of the critical temperature of the layered sine-Gordon model is
based on a renormalization-group analysis.Comment: 7 pages, accepted for publication in J. Phys.: Condens. Matte
Blow Flies (Calliphoridae) in Alaska
Several blow fly collections were made in the vicinity of Fairbanks between May 28 and June 14, 1948, and one large collection at Anchorage on August 9, 1948. All flies were caught in screen-wire fly traps baited with liver or dead salmon. The material was identified by D. G. Hall, Bureau of Entomology and Plant Quarantine, who also generously provided information concerning the possible importance of the various species of Alaskan blow flie
Wave-function renormalization for the Coulomb-gas in Wegner-Houghton's RG method
The RG flow for the sine-Gordon model is determined by means of the method of
Wegner and Houghton in next-to-leading order of the derivative expansion. For
small values of the fugacity this agrees with the well-known RG flow of the
two-dimensional Coulomb-gas found in the dilute gas approximation and a
systematic way of obtaining higher-order corrections to this approximation is
given.Comment: 4 pages, 2 figure
Generalized universality in the massive sine-Gordon model
A non-trivial interplay of the UV and IR scaling laws, a generalization of
the universality is demonstrated in the framework of the massive sine-Gordon
model, as a result of a detailed study of the global behaviour of the
renormalization group flow and the phase structure.Comment: 9 pages, 7 figure
Renormalization-Group Analysis of the Generalized Sine-Gordon Model and of the Coulomb Gas for D \u3e 3 Dimensions
Renormalization-group (RG) flow equations have been derived for the generalized sine-Gordon model (GSGM) and the Coulomb gas (CG) in d ≥ 3 of dimensions by means of the Wegner-Houghton method, and by way of the real-space RG approach. The UV scaling laws determined by the leading-order terms of the flow equations are in qualitative agreement for all dimensions d ≥ 3, independent of the dimensionality, and in sharp contrast to the special case d=2. For the 4-dimensional GSGM it is demonstrated explicitly (by numerical calculations) that the blocked potential tends to a constant effective potential in the infrared limit, satisfying the requirements of periodicity and convexity. The comparison of the RG flows for the three-dimensional GSGM, the CG, and the vortex-loop gas reveals a significant dependence on the renormalization schemes and the approximations used
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