New Exact Results for Quantum Impurity Problems

2000 ◽  
pp. 299-312
Author(s):  
F. Lesage ◽  
H. Saleur ◽  
P. Simonetti
Keyword(s):  
Exact Results ◽  
Quantum Impurity

Exact results for the persistent current in an aharonov-bohm ring with a quantum impurity

2006 ◽  
Vol 56 (10-11) ◽  
pp. 1251-1256 ◽  
Author(s):  
Johan Nilsson ◽  
Hans-Peter Eckle ◽  
Henrik Johannesson
Keyword(s):  
Persistent Current ◽  
Exact Results ◽  
Quantum Impurity ◽  
Aharonov Bohm

Erratum - Frustration in periodic systems : exact results for some 2D ising models

1979 ◽  
Vol 40 (10) ◽  
pp. 1024-1024
Author(s):  
G. André ◽  
R. Bidaux ◽  
J.-P. Carton ◽  
R. Conte ◽  
L. de Seze
Keyword(s):  
Ising Models ◽  
Periodic Systems ◽  
Exact Results

Almost empty polygons

2003 ◽  
Vol 40 (3) ◽  
pp. 269-286 ◽  
Author(s):  
H. Nyklová
Keyword(s):  
Exact Results ◽  
Point Sets ◽  
Planar Point ◽  
Convex Position ◽  
Vertex Set ◽  
Point Set ◽  
Empty Polygons

In this paper we study a problem related to the classical Erdos--Szekeres Theorem on finding points in convex position in planar point sets. We study for which n and k there exists a number h(n,k) such that in every planar point set X of size h(n,k) or larger, no three points on a line, we can find n points forming a vertex set of a convex n-gon with at most k points of X in its interior. Recall that h(n,0) does not exist for n = 7 by a result of Horton. In this paper we prove the following results. First, using Horton's construction with no empty 7-gon we obtain that h(n,k) does not exist for k = 2(n+6)/4-n-3. Then we give some exact results for convex hexagons: every point set containing a convex hexagon contains a convex hexagon with at most seven points inside it, and any such set of at least 19 points contains a convex hexagon with at most five points inside it.

Exact results on the steady state of a hopping model

1987 ◽  
Vol 35 (5) ◽  
pp. 2266-2275 ◽  
Author(s):  
M. Q. Zhang
Keyword(s):  
Steady State ◽  
Exact Results ◽  
Hopping Model

scholarly journals Some Exact Results in QCD-like Theories

2021 ◽  
Vol 126 (25) ◽  
Author(s):  
Hitoshi Murayama
Keyword(s):  
Exact Results

scholarly journals From exact results to gauge dynamics on ℝ3 × S1

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Arash Arabi Ardehali ◽  
Luca Cassia ◽  
Yongchao Lü
Keyword(s):  
Exact Results

scholarly journals Emergent non-Fermi-liquid phenomena in multipolar quantum impurity systems

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Adarsh S. Patri ◽  
Ilia Khait ◽  
Yong Baek Kim
Keyword(s):  
Fermi Liquid ◽  
Quantum Impurity

scholarly journals Conformal Regge theory at finite boost

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Simon Caron-Huot ◽  
Joshua Sandor
Keyword(s):  
Field Theory ◽  
Operator Product Expansion ◽  
Operator Product ◽  
Exact Results ◽  
Double Integral ◽  
Regge Theory ◽  
Conformal Field ◽  
Regge Trajectories ◽  
Continuous Spins ◽  
Regge Limit

Abstract The Operator Product Expansion is a useful tool to represent correlation functions. In this note we extend Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, valid even away from Regge limit. The representation extends convergence of the OPE by rewriting it as a double integral over continuous spins and dimensions, and features a novel “Regge block”. We test the formula in the conformal fishnet theory, where exact results involving nontrivial Regge trajectories are available.

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