1/N perturbation theory and quantum conservation laws for the supersymmetric chiral field. II

1980 ◽  
Vol 42 (3) ◽  
pp. 201-207
Author(s):  
I. Ya. Aref'eva ◽  
V. K. Krivoshchekov ◽  
P. B. Medvedev

1979 ◽  
Vol 40 (1) ◽  
pp. 565-572 ◽  
Author(s):  
I. Ya. Aref'eva ◽  
V. K. Krivoshchekov ◽  
P. B. Medvedev




2020 ◽  
pp. 2150084
Author(s):  
Yanpei Zhen ◽  
Xiaodan Wang ◽  
Junyi Zhu

The perturbation theory based on the inverse scattering transform is extended to discuss the Toda lattice with corrections. The time evolution of the associated scattering data is given by some summation representations for corrections and eigenfunctions. The perturbation correction of the conservation laws is investigated. The adiabatic approximate solution and its correction are considered.





2020 ◽  
Vol 5 (1) ◽  
Author(s):  
John Sous ◽  
Michael Pretko

Abstract Recent theoretical research on tensor gauge theories led to the discovery of an exotic type of quasiparticles, dubbed fractons, that obey both charge and dipole conservation. Here we describe physical implementation of dipole conservation laws in realistic systems. We show that fractons find a natural realization in hole-doped antiferromagnets. There, individual holes are largely immobile, while dipolar hole pairs move with ease. First, we demonstrate a broad parametric regime of fracton behavior in hole-doped two-dimensional Ising antiferromagnets viable through five orders in perturbation theory. We then specialize to the case of holes confined to one dimension in an otherwise two-dimensional antiferromagnetic background, which can be realized via the application of external fields in experiments, and prove ideal fracton behavior. We explicitly map the model onto a fracton Hamiltonian featuring conservation of dipole moment. Manifestations of fractonicity in these systems include gravitational clustering of holes. We also discuss diagnostics of fracton behavior, which we argue is borne out in existing experimental results.



2017 ◽  
Vol 95 (20) ◽  
Author(s):  
Christian Gramsch ◽  
Michael Potthoff


2016 ◽  
Vol 956 ◽  
pp. 886-889 ◽  
Author(s):  
Małgorzata Anna Janik ◽  
Łukasz Kamil Graczykowski ◽  
Adam Kisiel


1988 ◽  
Vol 102 ◽  
pp. 343-347
Author(s):  
M. Klapisch

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.





Sign in / Sign up

Export Citation Format

Share Document