Exact Finite Size Corrections for the Ising Model on Planar Random Surfaces

1997 ◽  
Vol 12 (33) ◽  
pp. 2503-2509
Author(s):  
B. E. Hanlon
Keyword(s):  
Ising Model ◽  
Finite Size ◽  
Order Correction ◽  
Exact Form ◽  
Leading Order ◽  
Random Surfaces ◽  
Numerical Studies ◽  
Finite Size Corrections

The exact form of finite size corrections is determined for the Ising model on 2-D planar random surfaces for any Ising temperature. The behaviour of these in the context of reliably extracting meaningful values for observables from numerical studies is investigated. In particular, it is noted that the leading order correction need not dominate.

scholarly journals Finite size effects for the Ising Model coupled to 2-D random surfaces

1996 ◽  
Vol 368 (1-2) ◽  
pp. 55-63 ◽  
Author(s):  
N.D. Hari Dass ◽  
B.E. Hanlon ◽  
T. Yukawa
Keyword(s):  
Ising Model ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Random Surfaces

scholarly journals Finite size effects in classical string solutions of the Schrödinger geometry

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Dimitrios Zoakos
Keyword(s):  
Size Effects ◽  
Correction Term ◽  
Finite Size ◽  
Dispersion Relations ◽  
Leading Order ◽  
Finite Size Effects ◽  
Single Spin ◽  
Single Spike ◽  
Size Dispersion ◽  
Finite Size Corrections

Abstract We study finite size corrections to the semiclassical string solutions of the Schrödinger spacetime. We compute the leading order exponential corrections to the infinite size dispersion relation of the single spin giant magnon and of the single spin single spike solutions. The solutions live in a S3 subspace of the five-sphere and extent in the Schrödinger part of the metric. In the limit of zero deformation the finite size dispersion relations flow to the undeformed AdS5 × S5 counterparts and in the infinite size limit the correction term vanishes and the known infinite size dispersion relations are obtained.

scholarly journals SUSY in the sky with gravitons

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Gustav Uhre Jakobsen ◽  
Gustav Mogull ◽  
Jan Plefka ◽  
Jan Steinhoff
Keyword(s):  
Finite Size ◽  
Kerr Black Hole ◽  
Normal Vector ◽  
Quantum Field ◽  
Leading Order ◽  
Wave Zone ◽  
Quadrupole Interactions ◽  
Gravitational Scattering ◽  
Finite Size Corrections ◽  
Two Bodies

Abstract Picture yourself in the wave zone of a gravitational scattering event of two massive, spinning compact bodies (black holes, neutron stars or stars). We show that this system of genuine astrophysical interest enjoys a hidden $$ \mathcal{N} $$ N = 2 supersymmetry, at least to the order of spin-squared (quadrupole) interactions in arbitrary D spacetime dimensions. Using the $$ \mathcal{N} $$ N = 2 supersymmetric worldline action, augmented by finite-size corrections for the non-Kerr black hole case, we build a quadratic-in-spin extension to the worldline quantum field theory (WQFT) formalism introduced in our previous work, and calculate the two bodies’ deflection and spin kick to sub-leading order in the post-Minkowskian expansion in Newton’s constant G. For spins aligned to the normal vector of the scattering plane we also obtain the scattering angle. All D-dimensional observables are derived from an eikonal phase given as the free energy of the WQFT that is invariant under the $$ \mathcal{N} $$ N = 2 supersymmetry transformations.

scholarly journals Analytical expressions for a finite-size 2D Ising model

2017 ◽  
Vol 26 (3) ◽  
pp. 165-171 ◽  
Author(s):  
I. M. Karandashev ◽  
B. V. Kryzhanovsky ◽  
M. Yu. Malsagov
Keyword(s):  
Ising Model ◽  
Finite Size ◽  
Analytical Expressions
Sign in / Sign up

Export Citation Format

Share Document