Statistical mechanics of anisotropic two-dimensional Ising systems; application of new correlated effective-field theory

1982 ◽  
Vol 25 (7) ◽  
pp. 4679-4684 ◽  
Author(s):  
T. Kaneyoshi ◽  
I. Tamura
Keyword(s):  
Field Theory ◽  
Statistical Mechanics ◽  
Effective Field Theory ◽  
Effective Field ◽  
Two Dimensional ◽  
Ising Systems

scholarly journals SOME ALGEBRAIC SYMMETRIES OF (2, 2)-SUPERSYMMETRIC SYSTEMS

2001 ◽  
Vol 16 (10) ◽  
pp. 663-671
Author(s):  
TRISTAN HÜBSCH
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Hilbert Spaces ◽  
Dimensional Space ◽  
Space Time ◽  
Effective Field ◽  
Target Space ◽  
Two Dimensional ◽  
Target Field ◽  
Dimensional Space Time

The Hilbert spaces of supersymmetric systems admit symmetries which are often related to the topology and geometry of the (target) field-space. Here, we study certain (2, 2)-supersymmetric systems in two-dimensional space–time which are closely related to superstring models. They all turn out to possess some hitherto unexploited and geometrically and topologically unobstructed symmetries, providing new tools for studying the topology and geometry of superstring target space–times, and so the dynamics of the effective field theory in these.

scholarly journals Loop Models, Marginally Rough Interfaces, and the Coulomb Gas

1997 ◽  
Vol 11 (01n02) ◽  
pp. 153-159 ◽  
Author(s):  
Jané Kondev
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Physical Interpretation ◽  
Scaling Limit ◽  
Coarse Graining ◽  
Coulomb Gas ◽  
Effective Field ◽  
Liouville Theory ◽  
Exact Results ◽  
Two Dimensional

We develop a coarse-graining procedure for two-dimensional models of fluctuating loops by mapping them to interface models. The result is an effective field theory for the scaling limit of loop models, which is found to be a Liouville theory with imaginary couplings. This field theory is completely specified by geometry and conformal invariance alone, and it leads to exact results for the critical exponents and the conformal charge of loop models. A physical interpretation of the Dotsenko-Fateev screening charge is found.

scholarly journals Effective field theory of the Higgs mode in a two-dimensional dilute Bose gas

2021 ◽  
Author(s):  
Ji-Chong Yang ◽  
Yu Shi
Keyword(s):  
Field Theory ◽  
Spectral Function ◽  
Effective Field Theory ◽  
Temperature Limit ◽  
Bose Gas ◽  
Effective Field ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Text Model ◽  
Higgs Mode

In this paper, we investigate the spectral function of the Higgs mode in a two-dimensional Bose gas by using the effective field theory in the zero-temperature limit. Our approach explains the experimental feature that the peak of the spectral function is a soft continuum rather than a sharp peak, broadens and vanishes in the superfluid phase, which cannot be explained in terms of the [Formula: see text] model. We also find that the scalar susceptibility is the same as the longitudinal susceptibility.

scholarly journals Effective field theory and integrability in two-dimensional Mott transition

2011 ◽  
Vol 326 (8) ◽  
pp. 1916-1940 ◽  
Author(s):  
Federico L. Bottesi ◽  
Guillermo R. Zemba
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Mott Transition ◽  
Effective Field ◽  
Two Dimensional

Unique phase diagrams in a graphene-like transverse Ising nanoparticle

2018 ◽  
Vol 32 (23) ◽  
pp. 1850255 ◽  
Author(s):  
T. Kaneyoshi
Keyword(s):  
Field Theory ◽  
Ising Model ◽  
Phase Diagrams ◽  
Effective Field Theory ◽  
Transverse Field ◽  
Effective Field ◽  
Two Dimensional ◽  
Surface Exchange ◽  
Small Surface ◽  
Reentrant Phenomena

The phase diagrams and the magnetizations in a graphene-like two-dimensional nanoparticle described by the transverse Ising model are investigated by the use of the effective-field theory with correlations. We have found some characteristic behaviors especially for the system with a small transverse field and a small surface exchange interaction, such as the reentrant phenomena.

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