scholarly journals Finite-temperature spin dynamics and phase transitions in spin-orbital models

2009 ◽  
Vol 80 (18) ◽  
Author(s):  
C.-C. Chen ◽  
B. Moritz ◽  
J. van den Brink ◽  
T. P. Devereaux ◽  
R. R. P. Singh
Keyword(s):  
Phase Transitions ◽  
Finite Temperature ◽  
Spin Dynamics ◽  
Spin Orbital

Spin dynamics and magnetic phase transitions in the quasi-two-dimensional antiferromagnet Mn[C10H6(OH)(COO−)]2×2H2O

2007 ◽  
Vol 33 (5) ◽  
pp. 427-432
Author(s):  
K. G. Dergachev ◽  
M. I. Kobets ◽  
E. N. Khatsko ◽  
V. M. Khrustalev ◽  
V. A. Pashchenko
Keyword(s):  
Phase Transitions ◽  
Magnetic Phase ◽  
Spin Dynamics ◽  
Magnetic Phase Transitions ◽  
Two Dimensional

scholarly journals Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics

2018 ◽  
Vol 97 (9) ◽  
Author(s):  
Bruno Mera ◽  
Chrysoula Vlachou ◽  
Nikola Paunković ◽  
Vítor R. Vieira ◽  
Oscar Viyuela
Keyword(s):  
Phase Transitions ◽  
Finite Temperature ◽  
Dynamical Phase ◽  
Dynamical Phase Transitions ◽  
Loschmidt Echo

Quantum field theory (QFT) at finite temperature: Equilibrium properties

2021 ◽  
pp. 786-830
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Phase Transitions ◽  
High Temperature ◽  
Dimensional Reduction ◽  
Finite Temperature ◽  
Finite Size ◽  
Quantum Field ◽  
Statistical Field ◽  
Statistical Field Theory

Some equilibrium properties in statistical quantum field theory (QFT), that is, relativistic QFT at finite temperature are reviewed. Study of QFT at finite temperature is motivated by cosmological problems, high energy heavy ion collisions, and speculations about possible phase transitions, also searched for in numerical simulations. In particular, the situation of finite temperature phase transitions, or the limit of high temperature (an ultra-relativistic limit where the temperature is much larger than the physical masses of particles) are discussed. The concept of dimensional reduction emerges, in many cases, statistical properties of finite-temperature QFT in (1, d − 1) dimensions can be described by an effective classical statistical field theory in (d − 1) dimensions. Dimensional reduction generalizes a property already observed in the non-relativistic example of the Bose gas, and indicates that quantum effects are less important at high temperature. The corresponding technical tools are a mode-expansion of fields in the Euclidean time variable, singling out the zero modes of boson fields, followed by a local expansion of the resulting (d − 1)-dimensional effective field theory (EFT). Additional physical intuition about QFT at finite temperature in (1, d−1) dimensions can be gained by considering it as a classical statistical field theory in d dimensions, with finite size in one dimension. This identification makes an analysis of finite temperature QFT in terms of the renormalization group (RG), and the theory of finite-size effects of the classical theory, possible. These ideas are illustrated with several simple examples, the φ4 field theory, the non-linear σ-model, the Gross–Neveu model and some gauge theories.

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