Finite-size effects from general covariance and Weyl anomaly

@article{Dettki1992FinitesizeEF,
  title={Finite-size effects from general covariance and Weyl anomaly},
  author={Arne Dettki and Andreas Wipf},
  journal={Nuclear Physics},
  year={1992},
  volume={377},
  pages={252-280}
}
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References

SHOWING 1-10 OF 34 REFERENCES

Conformal invariance, the central charge, and universal finite-size amplitudes at criticality.

We show that for conformally invariant two-dimensional systems, the amplitude of the finite-size corrections to the free energy of an infinitely long strip of width L at criticality is linearly…

Finite-size dependence of the free energy in two-dimensional critical systems

Zeta Functions and the Casimir Energy

Universal Term in the Free Energy at a Critical Point and the Conformal Anomaly

We show that the leading finite-size correction to lnZ for a two-dimensional system at a conformally invariant critical point on a strip of length L, width β (β L ), is (π/6) c ( L /β), where c is…

Theory of Strings with Boundaries: Fluctuations, Topology, and Quantum Geometry

Conformal transformations and the effective action in the presence of boundaries

The conformal properties of the heat kernel expansion are used to determine the local form of the coefficients in a manifold with boundary. The conformal transformation of the effective action is…

On the Functional Calculus of Pseudo-Differential Boundary Problems

The lecture falls in three parts. First we give an introduction to the calculus of pseudo-differential boundary value problems, that generalize the boundary problems for differential operators. A…

A few insights into the nature of classical and quantum gravity via null-strut calculus

Null-strut calculus is a newly developed description of geometrodynamics. It provides a discrete and geometric description of the dynamic evolution or spacelike 3-geometries. Each 3-geometry is…

Asymptotic Expansions for Pseudodifferential Operators on Bounded Domains

Derivation of the series.- The Szego and heat expansions.- f(k)(? ?i) in the hermitian case.- Trace formulas.- Proof of the szego expansion in the nonself-adjoint case.- Proof of the Szego expansion…

The covariant technique for the calculation of the heat kernel asymptotic expansion