scholarly journals Universality Class around the SU(3) Symmetric Point of the Dimer–Trimer Spin-1 Chain

2021 ◽  
Vol 90 (2) ◽  
pp. 024005
Author(s):  
Tohru Mashiko ◽  
Shunji Moriya ◽  
Kiyohide Nomura
Keyword(s):  
Universality Class ◽  
Symmetric Point

Phase Transition and Its Universality Class for a Quantum Spin Chain

2021 ◽  
Vol 1 ◽  
Keyword(s):  
Phase Transition ◽  
Spin Chain ◽  
Universality Class ◽  
Quantum Spin ◽  
Quantum Spin Chain ◽  
Symmetric Point ◽  
Model Hamiltonian

We numerically diagonalize the Dimer-Trimer (DT) model Hamiltonian around the SU(3) symmetric point. As a result, we discover the phase transition at this point which belongs to the Berezinskii-Kosterlitz-Thouless (BKT)-like universality class.

scholarly journals Two-nucleon S -wave interactions at the SU(3) flavor-symmetric point with mud≈msphys : A first lattice QCD calculation with the stochastic Laplacian Heaviside method

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Ben Hörz ◽  
Dean Howarth ◽  
Enrico Rinaldi ◽  
Andrew Hanlon ◽  
Chia Cheng Chang ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
S Wave ◽  
Wave Interactions ◽  
Symmetric Point

scholarly journals Universality class of the motility-induced critical point in large scale off-lattice simulations of active particles.

Soft Matter ◽  
2021 ◽  
Author(s):  
Claudio Maggi ◽  
Matteo Paoluzzi ◽  
Andrea Crisanti ◽  
Emanuela Zaccarelli ◽  
Nicoletta Gnan
Keyword(s):  
Phase Separation ◽  
Critical Point ◽  
Computer Simulations ◽  
Large Scale ◽  
Universality Class ◽  
Critical Behaviour ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Active Particles ◽  
Two Dimensional Model

We perform large-scale computer simulations of an off-lattice two-dimensional model of active particles undergoing a motility-induced phase separation (MIPS) to investigate the systems critical behaviour close to the critical point...

scholarly journals Tachyons and Solitons in Spontaneous Symmetry Breaking in the Frame of Field Theory

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1358
Author(s):  
Yiannis Contoyiannis ◽  
Michael P. Hanias ◽  
Pericles Papadopoulos ◽  
Stavros G. Stavrinides ◽  
Myron Kampitakis ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Critical Point ◽  
Universality Class ◽  
Lattice Simulation ◽  
Ginzburg Landau ◽  
Spin Lattice ◽  
Nuclear Collisions ◽  
Ising Spin ◽  
Relativistic Nuclear Collisions

This paper presents our study of the presence of the unstable critical point in spontaneous symmetry breaking (SSB) in the framework of Ginzburg–Landau (G-L) free energy. Through a 3D Ising spin lattice simulation, we found a zone of hysteresis where the unstable critical point continued to exist, despite the system having entered the broken symmetry phase. Within the hysteresis zone, the presence of the kink–antikink SSB solitons expands and, therefore, these can be observed. In scalar field theories, such as Higgs fields, the mass of this soliton inside the hysteresis zone could behave as a tachyon mass, namely as an imaginary quantity. Due to the fact that groups Ζ(2) and SU(2) belong to the same universality class, one expects that, in future experiments of ultra-relativistic nuclear collisions, in addition to the expected bosons condensations, structures of tachyon fields could appear.

TRANSFER-MATRIX STUDY OF NEGATIVE-FUGACITY SINGULARITY OF HARD-CORE LATTICE GAS

1999 ◽  
Vol 10 (04) ◽  
pp. 517-529 ◽  
Author(s):  
SYNGE TODO
Keyword(s):  
Large Scale ◽  
Lattice Gas ◽  
Central Charge ◽  
Hard Core ◽  
Universality Class ◽  
Two Dimensions ◽  
Square Lattice ◽  
Lattice Gas Models ◽  
Renormalization Technique ◽  
Phenomenological Renormalization

A singularity on the negative-fugacity axis of the hard-core lattice gas is investigated in terms of numerical diagonalization of large-scale transfer matrices. For the hard-square lattice gas, the location of the singular point [Formula: see text] and the critical exponent ν are accurately determined by the phenomenological renormalization technique as -0.11933888188(1) and 0.416667(1), respectively. It is also found that the central charge c and the dominant scaling dimension xσ are -4.399996(8) and -0.3999996(7), respectively. Similar analyses for other hard-core lattice-gas models in two dimensions are also performed, and it is confirmed that the universality between these models does hold. These results strongly indicate that the present singularity belongs to the same universality class as the Yang–Lee edge singularity.

scholarly journals Gluon helicityΔGfrom a universality class of operators on a lattice

2014 ◽  
Vol 89 (8) ◽  
Author(s):  
Yoshitaka Hatta ◽  
Xiangdong Ji ◽  
Yong Zhao
Keyword(s):  
Universality Class
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